Skip to main content

Bibliography on quadtrees and related hierarchical data structures

  • Conference paper

Part of the book series: EurographicSeminars ((FOCUS COMPUTER))

Abstract

This bibliography is an updated version of the one published in ACM Computing Surveys [214].

This work was supported in part by the National Science Foundation under Grant DCR-8 3-02118.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D.J. Abel, Comments on “detection of connectivity for regions represented by linear quadtrees”, Computers and Mathematics with Applications 10, 2(1984), 167–170. [geometric property measurement]

    Article  MATH  Google Scholar 

  2. D.J. Abel and J.L. Smith, A data structure and algorithm based on a linear key for a rectangle retrieval problem, Computer Vision, Graphics, and Image Processing 24, 1(October 1983), 1–13. [rectangles]

    Article  Google Scholar 

  3. D.J. Abel and J.L. Smith, A simple approach to the nearest-neighbor problem, The Australian Computer Journal 16, 4(November 1984), 140–146. [point data]

    Google Scholar 

  4. D.J. Abel and J.L. Smith, A data structure and query algorithm for a database of areal entities, The Australian Computer Journal 16, 4(November 1984), 147–154. [region data]

    Google Scholar 

  5. N. Ahuja, On approaches to polygonal decomposition for hierarchical image representation, Computer Vision, Graphics, and Image Processing 24, 2(November 1983), 200–214. [region representation]

    Article  Google Scholar 

  6. N. Ahuja and C. Nash, Octree representations of moving objects, Computer Vision, Graphics, and Image Processing 26, 2(May 1984), 207–216. [three-dimensional data]

    Article  Google Scholar 

  7. N. Alexandridis and A. Klinger, Picture decomposition, tree data-structures, and identifying directional symmetries as node combinations, Computer Graphics, and Image Processing 8, l(August 1978), 43–77. [region representation]

    Article  Google Scholar 

  8. V.V. Alexandrov and N.D. Grosky, Recursive approach to associative storage and search of information in data bases, Proceedings of the Finnish-Soviet Symposium on Design and Application of Data Base Systems, Turku, Finland, 1980, 271–284. [region representation]

    Google Scholar 

  9. V.V. Alexandrov, N.D. Grosky, and A.O. Polyakov, Recursive algorithms of data representation and processing, Academy of Sciences of the USSR, Leningrad Research Center, Leningrad, 1979. [region representation]

    Google Scholar 

  10. D.P. Anderson, Techniques for reducing pen plotting time, ACM Transactions on Graphics 2, 3(July 1983), 197–212. [computer graphics; point data]

    Article  Google Scholar 

  11. F.P. Andresen, L.S. Davis, R.D. Eastman, and S. Kambhampati, Visual algorithms for autonomous navigation, Proceedings of the International Conference on Robotics, St. Louis, March 1985, 856–861. [three-dimensional data, path planning]

    Google Scholar 

  12. E. Artzy, G. Frieder, and G.T. Herman, The theory, design, implementation, and evaluation of a surface detection algorithm, Computer Graphics and Image Processing 15, 1(January 1981), 1–24. [three-dimensional data]

    Article  Google Scholar 

  13. H.H. Atkinson, I. Gargantini, and T.R.S. Walsh, Counting regions, holes, and their nesting level in time proportional to their border, Computer Vision, Graphics, and Image Processing 29, 2(February 1985), 196–215. [geometric property measurement]

    Article  Google Scholar 

  14. D. Avis, A survey of heuristics for the weighted matching problem, Networks 13, 4(1983), 475–493. [point data; Euclidean matching]

    Article  MathSciNet  MATH  Google Scholar 

  15. D.H. Ballard, Strip trees: A hierarchical representation for curves, Communications of the ACM 24, 5(May 1981), 310–321 (see also corrigendum, Communications of the ACM 25, 3(March 1982), 213). [line data]

    Article  Google Scholar 

  16. R. Barera and A.M. Vazquez A hierarchical method for representing terrain relief, Proceedings of the Pecora 9 Symposium on Spatial Information Technologies for Remote Sensing Today and Tomorrow, Sioux Falls, South Dakota, October 1984, 87–92. [surface representation]

    Google Scholar 

  17. M.A. Bauer, Set operations in linear quadtrees, Computer Vision, Graphics, and Image Processing 29, 2(February 1985), 248–258. [region data]

    Article  Google Scholar 

  18. S.B.M. Bell, B.M. Diaz, F. Holroyd, and M.J. Jackson, Spatially referenced methods of processing raster and vector data, Image and Vision Computing 1, 4(November 1983), 211–220. [region representation]

    Article  Google Scholar 

  19. J.L. Bentley, A survey of techniques for fixed radius near neighbor searching, SLAC Report No. 186, Stanford Linear Accelerator Center, Stanford University, Stanford, CA, August 1975. [point data]

    Google Scholar 

  20. J.L. Bentley, Multidimensional binary search trees used for associative searching, Communications of the ACM 18, 9(September 1975), 509–517. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  21. J.L. Bentley, Decomposable searching problems, Information Processing Letters 8, June 1979, 133–136. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  22. J.L. Bentley, Multi-dimensional divide-and-conquer, Communications of the ACM 23, 4(April 1980), 214–229. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  23. J.L. Bentley and J.H. Friedman, Data Structures for range searching, ACM Computing Surveys If 4(December 1979), 397–409. [point data]

    Article  Google Scholar 

  24. J.L. Bentley and H.A. Maurer, A note on Euclidean near neighbor searching in the plane, Information Processing Letters 8, 3(March 1979), 133–136. [point data]

    MathSciNet  MATH  Google Scholar 

  25. J.L. Bentley and H.A. Maurer, Efficient worst-case data structures for range searching, Acta Informatica 13, 2(1980), 155–168. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  26. J.L. Bentley and J. Saxe, Decomposable searching problems I: static to dynamic transformations, Journal of Algorithms 1, (1980), 301–358. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  27. J.L. Bentley and D.F. Stanat, Analysis of range searches in quad trees, Information Processing Letters 3, 6(July 1975), 170–173. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  28. J.L. Bentley, D.F. Stanat, and E.H. Williams Jr., The complexity of fixed radius near neighbor searching, Information Processing Letters 6, December 1977, 209–212. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  29. P.W. Besslich, Quadtree construction of binary images by dyadic array transformations, Proceedings of the IEEE Conference on Pattern Recognition and Image Processing, Las Vegas, 1982, 550–554. [hardware]

    Google Scholar 

  30. H. Blum, A transformation for extracting new descriptors of shape, in Models for the Perception of Speech and Visual Form, W. Wathen-Dunn, Ed., M.I.T. Press, Cambridge, MA, 1967, 362–380. [medial axis transforms]

    Google Scholar 

  31. A. Bolour, Optimality properties of multiple-key hashing functions, Journal of the ACM 26, 2(April 1979), 196–210. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  32. R.A. Brooks and T. Lozano-Perez, A subdivision algorithm in configuration space for findpath with rotation, Proceedings of the Seventh International Joint Conference on Artificial Intelligence, Karlsruhe, West Germany, August 1983, 799–806. [three-dimensional data, path planning]

    Google Scholar 

  33. W.A. Burkhardt, Interpolation-based index maintenance, BIT 23, 3(1983), 274–294. [point data]

    Article  MathSciNet  Google Scholar 

  34. P.J. Burt, Tree and pyramid structures for coding hexagonally sampled binary images, Computer Graphics and Image Processing 14, 3(November 1980), 249–270. [pyramids]

    Article  MathSciNet  Google Scholar 

  35. P.J. Burt, T.H. Hong, and A. Rosenfeld, Segmentation and estimation of image region properties through cooperative hierarchical computation, IEEE Transactions on Systems, Man, and Cybernetics 11, 12(December 1981), 802–809. [pyramids]

    Article  Google Scholar 

  36. F.W. Burton and J.G. Kollias, Comment on the explicit quadtree as a structure for computer graphics, Computer Journal 26, 2(May 1983), 188. [region representation]

    Article  Google Scholar 

  37. F.W. Burton, V.J. Kollias, and J.G. Kollias, Expected and worst-case storage requirements for quadtrees, Pattern Recognition Letters 3, 2(March 1985), 131–135. [storage requirements]

    Article  MATH  Google Scholar 

  38. F.W. Burton, J.G. Kollias, and N.A. Alexandridis, Implementation of the exponential pyramid data structure with application to determination of symmetries in pictures, Computer Vision, Graphics, and Image Processing 25, 2(February 1984), 218–225. [pyramids]

    Article  Google Scholar 

  39. W. Burton, Representation of many-sided polygons and polygonal lines for rapid processing, Communications of the ACM 20, 3(March 1977), 166–171. [line data]

    Article  MATH  Google Scholar 

  40. I. Carlbom, I. Chakravarty, and D. Vanderschel, A hierarchical data structure for representing the spatial decomposition of 3-D objects, IEEE Computer Graphics and Applications 5, 4(April 1985), 24–31. [three-dimensional data]

    Article  Google Scholar 

  41. W.E. Carlson, An algorithm and data structure for 3D object synthesis using surface patch intersections, Computer Graphics 16, 3(July 1982), 255–264 (also Proceedings of the SIGGRAPH’82 Conference, Boston, July 1982). [surface representation]

    Article  Google Scholar 

  42. C.H. Chien and J.K. Aggarwal, A normalized quadtree representation, Computer Vision, Graphics, and Image Processing 26, 3(June 1984), 331–346. [three-dimensional data]

    Article  Google Scholar 

  43. E. Cohen, T. Lyche, and R. Riesenfeld, Discrete B-splines and subdivision techniques in computer-aided geometric design and computer graphics, Computer Graphics and Image Processing 14, 3(October 1980), 87–111. [computer graphics]

    Article  Google Scholar 

  44. Y. Cohen, M.S. Landy, and M. Pavel, Hierarchical coding of binary images, IEEE Transactions on Pattern Analysis and Machine Intelligence 7, 3(May 1985), 284–298. [coding; approximation]

    Article  Google Scholar 

  45. D. Comer, The Ubiquitous B-tree, ACM Computing Surveys 11, 2(June 1979), 121–137. [point data]

    Article  MATH  Google Scholar 

  46. C.I. Connolly, Cumulative generation of octree models from range data, Proceedings of the International Conference on Robotics, Atlanta, March 1984, 25–32. [three-dimensional data]

    Google Scholar 

  47. B.G. Cook, The structural and algorithmic basis of a geographic data base, in Proceedings of the First International Advanced Study Symposium on Topological Data Structures for Geographic Information Systems, G. Dutton, Ed., Harvard Papers on Geographic Information Systems, 1978. [region representation]

    Google Scholar 

  48. E. Creutzburg, Complexities of quadtrees and the structure of pictures, Friedrich-Schiller University Technical Report N/81/74, Jena, East Germany, 1981. [storage requirements]

    MATH  Google Scholar 

  49. S.P. Dandamui and P.G. Sorenson, Performance of a modified k-tree, Department of Computational Science Report 84–10, University of Saskatchewan, Saskatoon, Canada, 1984. [point data]

    Google Scholar 

  50. S.P. Dandamui and P.G. Sorenson, Algorithms for the BD tree structure, Department of Computational Science Report 84–11, University of Saskatchewan, Saskatoon, Canada, 1984. [point data]

    Google Scholar 

  51. S.P. Dandamui and P.G. Sorenson, An empirical performance comparison of some variations of the k-d tree and BD tree, Department of Computational Science Report 84–13, University of Saskatchewan, Saskatoon, Canada, 1984. [point data]

    Google Scholar 

  52. E. Davis, Representing and acquiring geographic knowledge, Ph.D. dissertation, Department of Computer Science, Yale University, New Haven, Connecticut, 1984. [artificial intelligence; expert systems]

    Google Scholar 

  53. L.S. Davis and N. Roussopoulos, Approximate pattern matching in a pattern database system, Information Systems 5, 2(1980), 107–119. [image processing]

    Article  MATH  Google Scholar 

  54. F. DeCoulon and U. Johnsen, Adaptive block schemes for source coding of black-and-white facsimile, Electronics Letters 12, 3(1976), 61–62 (see also erratum, Electronics Letters 12, 6(1976), 152). [coding; approximation]

    Article  Google Scholar 

  55. L. DeFloriani, B. Falcidieno, G. Nagy, and C. Pienovi, Yet another method for triangulation and contouring for automated cartography. Proceedings of the American Congress on Surveying and Mapping, American Society of Photogrammetry, F.S. Card well, R. Black, and B.M. Cole, Eds., Hollywood, Florida, 1982, 101–110. [surface representation]

    Google Scholar 

  56. R.A. DeMillo, S.C. Eisenstat, and R.J. Lipton, Preserving average proximity in arrays, Communications of the ACM 21, 3(March 1978), 228–231. [point data]

    Article  Google Scholar 

  57. D. Dobkin and R.J. Lipton, Some generalizations of binary search, Proceedings of the Sixth SIGACT Symposium on Theory of Computing, Seattle, April 1974, 310–316. [point data]

    Google Scholar 

  58. D. Dobkin and R.J. Lipton, Multidimensional searching problems, SI AM Journal on Computing 5, 2(June 1976), 181–186. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  59. L.J. Doctor and J.G. Torborg, Display techniques for octree-encoded objects, IEEE Computer Graphics and Applications 1, l(July 1981), 39–46. [region data]

    Google Scholar 

  60. L. Dorst and R.P.W. Duin, Spirograph theory: a framework for calculations on digitized straight lines, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 5(September 1984), 632–639. [line data; computer graphics; antialiasing]

    Article  MATH  Google Scholar 

  61. L. Dorst and A.W.M. Smeulders, Discrete representation of straight lines, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 4(July 1984), 450–463. [line data; computer graphics; antialiasing]

    Article  MATH  Google Scholar 

  62. R.O. Duda and P.E. Hart, Pattern Classification and Scene Analysis, Wiley Interscience, New York, 1973. [general]

    MATH  Google Scholar 

  63. C.R. Dyer, Computing the Euler number of an image from its quadtree, Computer Graphics and Image Processing 13, 3(July 1980), 270–276. [region data]

    Article  Google Scholar 

  64. C.R. Dyer, A VLSI pyramid machine for parallel image processing, Proceedings of the IEEE Conference on Pattern Recognition and Image Processing, Dallas, 1981, 381–386. [hardware]

    Google Scholar 

  65. C.R. Dyer, The space efficiency of quadtrees, Computer Graphics and Image Processing 19, 4(August 1982), 335–348. [storage requirements]

    Article  MATH  Google Scholar 

  66. C.R. Dyer, A. Rosenfeld, and H. Samet, Region representation: boundary codes from quadtrees, Communications of the ACM 23, 3(March 1980), 171–179. [region data]

    Article  MATH  Google Scholar 

  67. C.M. Eastman, Representations for space planning, Communications of the ACM 13, 4(April 1970), 242–250. [region representation]

    Article  Google Scholar 

  68. C.M. Eastman, Optimal bucket size for nearest neighbor searching in k-d trees, Information Processing Letters 12, 4(August 1981), 165–167. [point data]

    Article  MathSciNet  Google Scholar 

  69. C.M. Eastman and M. Zemankova, Partially specified nearest neighbor searches using k-d trees, Information Processing Letters 15, 2(September 1982), 53–56. [point data]

    Article  MathSciNet  Google Scholar 

  70. H. Edelsbrunner, Key-problems and key-methods in computational geometry, Proceedings of the Symposium of Theoretical Aspects of Computer Science, Paris, 1984, 1–13 (Lecture Notes in Computer Science 166, Springer-Verlag, New York, 1984). [general]

    Google Scholar 

  71. H. Edelsbrunner, L.J. Guibas, and J. Stolfi, Optimal point location in a monotone subdivision, to appear in SIAM Journal on Computing, 1984. [line data]

    Google Scholar 

  72. H. Edelsbrunner and J. van Leeuwen, Multidimensional data structures and algorithms: a bibliography, Institute for Information Processing Report F104, Technical University of Graz, Graz, Austria, January 1983. [general]

    Google Scholar 

  73. R. Fagin, J. Nievergelt, N. Pippenger, and H.R. Strong, Extendible hashing - a fast access method for dynamic files, ACM Transactions on Database Systems 4, 3(September 1979), 315–344. [point data]

    Article  Google Scholar 

  74. O.D. Faugeras, M. Hebert, P. Mussi, and J.D. Boissonnat, Polyhedral approximation of 3-d objects without holes, Computer Vision, Graphics, and Image Processing 25, 2(February 1984), 169–183. [three-dimensional data]

    Article  Google Scholar 

  75. O. D. Faugeras and J. Ponce, Prism trees: a hierarchical representation for 3-d objects, Proceedings of the Eighth International Joint Conference on Artificial Intelligence, Karlsruhe, West Germany, August 1983, 982–988. [surface representation]

    Google Scholar 

  76. B. Faverjon, Obstacle avoidance using an octree in the configuration space of a manipulator, Proceedings of the International Conference on Robotics, Atlanta, March 1984, 504–512. [three-dimensional data; path planning]

    Google Scholar 

  77. R.A. Finkel and J.L. Bentley, Quad trees: a data structure for retrieval on composite keys, Acta Informatica 4, 1(1974), 1–9. [point data]

    Article  MATH  Google Scholar 

  78. P. Flajolet and C. Puech, Tree structures for partial match retrieval, Proceedings of the Twenty-fourth Annual IEEE Symposium on the Foundations of Computer Science, Tucson, November 1983, 282–288. [point data]

    Google Scholar 

  79. E. Fredkin, Trie memory, Communications of the ACM 3, 9(September 1960), 490–499. [point data]

    Article  Google Scholar 

  80. H. Freeman, Computer processing of line-drawing images, ACM Computing Surveys 6, l(March 1974), 57–97. [line data; region representation]

    Article  MATH  Google Scholar 

  81. J.H. Friedman, F. Baskett, and L.J. Shustek, An algorithm for finding nearest neighbors, IEEE Transactions on Computers 24, 10(October 1975), 1000–1006. [point data]

    Article  MATH  Google Scholar 

  82. J.H. Friedman, J.L. Bentley, and R.A. Finkel, An algorithm for finding best matches in logarithmic expected time, ACM Transactions on Mathematical Software 3, 3(September 1977), 209–226. [point data]

    Article  MATH  Google Scholar 

  83. I. Gargantini, An effective way to represent quadtrees, Communications of the ACM 25, 12(December 1982), 905–910. [region representation]

    Article  MATH  Google Scholar 

  84. I. Gargantini, Linear octtrees for fast processing of three dimensional objects, Computer Graphics and Image Processing 20, 4(December 1982), 365–374. [three-dimensional data]

    Article  Google Scholar 

  85. I. Gargantini, Detection of connectivity for regions represented by linear quadtrees, Computers arid Mathematics with Applications 8, 4(1982), 319–327. [geometric property measurement]

    Article  MATH  Google Scholar 

  86. I. Gargantini, Translation, rotation, and superposition of linear quadtrees, International Journal of Man-Machine Studies 18, 3(March 1983), 253–263. [computer graphics]

    Article  MATH  Google Scholar 

  87. P.C. Gaston and T. Lozano-Perez, Tactile recognition and localization using object models: the case of polyhedra on a plane, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 3(May 1984), 257–266. [three-dimensional dataj

    Article  Google Scholar 

  88. L. Gibson and D. Lucas, Vectorization of raster images using hierarchical methods, Computer Graphics and Image Processing 20, 1 (September 1982), 82–89. [region representation]

    Article  Google Scholar 

  89. R. Gillespie and W.A. Davis, Tree data structures for graphics and image processing, Proceedings of the Seventh Conference of the Canadian Man-Computer Communications Society, Waterloo, Canada, June 1981, 155–161. [region representation]

    Google Scholar 

  90. A.S. Glassner, Space subdivision for fast ray tracing, IEEE Computer Graphics and Applications 4, 10(October 1984), 15–22. [ray tracing; computer graphics]

    Google Scholar 

  91. D. Gomez and A. Guzman, Digital model for three-dimensional surface representation, Geo-Processing, 1(1979), 53–70. [surface representation]

    Google Scholar 

  92. W.I. Grosky, M. Li, and R. Jain, A bottom-up approach to constructing quadtrees from binary arrays, Computer Science Report CSC-81-011, Wayne State University, Detroit, MI, 1981. [region data]

    Google Scholar 

  93. W.I. Grosky and R. Jain, iOptimal quadtrees for image segments, IEEE Transactions on Pattern Analysis and Machine Intelligence 5, 1 (January 1983), 77–83. [storage requirements]

    Article  MATH  Google Scholar 

  94. B. Grunbaum and G.C. Shephard, The eighty-one types of isohedral tilings in the plane, Proceedings of the Cambridge Philosophical Society 82, (1977), 177–196. [region representation]

    Article  MathSciNet  Google Scholar 

  95. H. Guting and H.P. Kriegel, Multidimensional B-tree: an efficient dynamic file structure for exact match queries, Informatik Fachberichte 33, (1980), 375–388. [point data]

    MathSciNet  Google Scholar 

  96. H. Guting and H.P. Kriegel, Dynamic k-dimensional multi way search under time-varying access frequencies, Lecture Notes in Computer Science 104, (1981), 135–145. [point data]

    Article  Google Scholar 

  97. R.M. Haralick, Some neighborhood operations, in Real Time/Parallel Computing Image Analysis, M. Onoe, K. Preston, and A. Rosenfeld, Eds., Plenum Press, New York, NY, 1981. [geometric property measurement]

    Google Scholar 

  98. D.M. Hardas and S.N. Srihari, Progressive refinement of 3-d images using coded binary trees: algorithms and architecture, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 6(November 1984), 748–757. [coding; approximation]

    Article  Google Scholar 

  99. T.C. Henderson and E. Triendl, Storing feature descriptions as 2-d trees, Proceedings of Pattern Recognition and Image Processing 82, Las Vegas, Nevada, 1982, 555–556. [image processing]

    Google Scholar 

  100. K. Hinrichs and J. Nievergelt, The Grid File: a data structure to support proximity queries on spatial objects, Report 54, Institut fur Informatik, ETH, Zurich, July 1983. [point data]

    Google Scholar 

  101. D.S. Hirschberg, On the complexity of searching a set of vectors, SIAM Journal on Computing 9, l(February 1980), 126–129. [line data]

    Article  MathSciNet  MATH  Google Scholar 

  102. C.A.R. Hoare, Notes on data structuring, in Structured Programming, O.J. Dahl, E.W. Dijkstra, and C.A.R. Hoare, Eds., Academic Press, London, 1972, 154. [general]

    Google Scholar 

  103. S.L. Horowitz and T. Pavlidis, Picture segmentation by a tree traversal algorithm, Journal of the ACM 23, 2(April 1976), 368–388. [image processing]

    Article  MATH  Google Scholar 

  104. M. Hoshi and T. Yuba, A counter example to a monotonicity property of k-d trees, Information Processing Letters 15, 4(October 1982), 169–173. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  105. D.A. Huffman, A method for the construction of minimum-redundancy codes, Proceedings of the IRE 40, 9(September 1952), 1098–1101. [coding]

    Article  Google Scholar 

  106. G.M. Hunter, Efficient computation and data structures for graphics, Ph.D. dissertation, Department of Electrical Engineering and Computer Science, Princeton University, Princeton, NJ, 1978. [region representation; computer graphics]

    Google Scholar 

  107. G.M. Hunter and K. Steiglitz, Operations on images using quad trees, IEEE Transactions on Pattern Analysis and Machine Intelligence 1, 2 (April 1979), 145–153. [region representation; computer graphics]

    Article  Google Scholar 

  108. G.M. Hunter and K. Steiglitz, Linear transformation of pictures represented by quad trees, Computer Graphics and Image Processing 10, 3 (July 1979), 289–296. [region representation; computer graphics]

    Article  Google Scholar 

  109. H.A.H. Ibrahim, The connected component labeling algorithm on the NON-VON supercomputer, Proceedings of the Workshop on Computer Vision: Representation and Control, Annapolis, April 1984, 37–45. [hardware; geometric property measurement]

    Google Scholar 

  110. T. Ichikawa, A pyramidal representation of images and its feature extraction facility, IEEE Transactions on Pattern Analysis and Machine Intelligence 3, 3 (May 1981), 257–264. [region representation]

    Article  MathSciNet  Google Scholar 

  111. M.G.B. Ismail and R. Steele, Adaptive pel location coding for bilevel facsimile signals, Electronics Letters 16, 10 (May 8, 1980), 361–363. [coding; approximation]

    Article  Google Scholar 

  112. C.L. Jackins and S.L. Tanimoto, Oct-trees and their use in representing three-dimensional objects, Computer Graphics and Image Processing 14, 3 (November 1980), 249–270. [three-dimensional data]

    Article  Google Scholar 

  113. C. Jackins and S.L. Tanimoto, Quad-trees, oct-trees, and k-trees-a generalized approach to recursive decomposition of Euclidean space, IEEE Transactions on Pattern Analysis and Machine Intelligence 5, 5 (September 1983), 533–539. [region representation]

    Article  Google Scholar 

  114. L. Jones and S.S. Iyengar, Space and time efficient virtual quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 2 (March 1984), 244–247. [region representation]

    Article  Google Scholar 

  115. E. Kawaguchi and T. Endo, On a method of binary picture representation and its application to data compression, IEEE Transactions on Pattern Analysis and Machine Intelligence 2, 1 (January 1980), 27–35. [region representation]

    Article  MATH  Google Scholar 

  116. E. Kawaguchi, T. Endo, and J. Matsunaga, Depth-first expression viewed from digital picture processing, IEEE Transactions on Pattern Analysis and Machine Intelligence 5, 4 (July 1983), 373–384. [region representation]

    Article  Google Scholar 

  117. E. Kawaguchi, T. Endo, and M. Yokota, DF-expression of binary-valued picture and its relation to other pyramidal representations, Proceedings of the Fifth International Conference on Pattern Recognition, Miami Beach, December 1980, 822–827. [region representation]

    Google Scholar 

  118. G. Kedem, The Quad-CIF tree: a data structure for hierarchical on-line algorithms, TR 91, Computer Science Department, The University of Rochester, Rochester, New York, September 1981. [rectangles]

    Google Scholar 

  119. M.D. Kelly, Edge detection in pictures by computer using planning, Machine Intelligence 6 (1971), 397–409. [image processing]

    Google Scholar 

  120. D. Kirkpatrick, Optimal search in planar subdivisions, SI AM Journal on Computing 12, 1 (February 1983), 28–35. [line data]

    Article  MathSciNet  MATH  Google Scholar 

  121. A. Klinger, Patterns and Search Statistics, in Optimizing Methods in Statistics, J.S. Rustagi, Ed., Academic Press, New York, 1971, 303–337. [region representation]

    Google Scholar 

  122. A. Klinger and C.R. Dyer, Experiments in picture representation using regular decomposition, Computer Graphics and Image Processing 5, 1 (March 1976), 68–105. [region representation]

    Article  Google Scholar 

  123. A. Klinger and M.L. Rhodes, Organization and access of image data by areas, IEEE Transactions on Pattern Analysis and Machine Intelligence 1, 1 (January 1979), 50–60. [region representation]

    Article  Google Scholar 

  124. G.D. Knott, Expandable open addressing hash table storage and retrieval, Proceedings of SIGFIDET Workshop on Data Description, Access, and Control, San Diego, November 1971, 187–206. [point data]

    Chapter  Google Scholar 

  125. K. Knowlton, Progressive transmission of grey-scale and binary pictures by simple, efficient, and lossless encoding schemes, Proceedings of the IEEE 68, 7 (July 1980) 885–896. [coding; approximation]

    Article  Google Scholar 

  126. D.E. Knuth, The Art of Computer Programming, vol. 3, Sorting and Searching, Addison-Wesley, Reading, MA, 1973. [general]

    Google Scholar 

  127. P. Koistinen, M. Tamminen, and H. Samet, Viewing solid models by bintree conversion, Proceedings of the EUROGRAPHICS’85 Conference, Nice, September 1985. [CSG; three-dimensional data]

    Google Scholar 

  128. T.L. Kunii, T. Satoh, and K. Yamaguchi, Generation of topological boundary representations from octree encoding, IEEE Computer Graphics and Applications 5, 3 (March 1985), 29–38. [three-dimensional data]

    Article  Google Scholar 

  129. J.P. Lauzon, D.M. Mark, L. Kikuchi, and J.A. Guevara, Two-dimensional run-encoding for quadtree representation, Computer Vision, Graphics, and Image Processing 30, l (April 1985), 56–69. [region representation]

    Article  Google Scholar 

  130. D.T. Lee and B.J. Shacter, Two algorithms for constructing a Delaunay triangulation, International Journal of Computer and Information Sciences 9, 3 (June 1980), 219–242. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  131. D.T. Lee and C.K. Wong, Worst-case analysis for region and partial region searches in multidimensional binary search trees and quad trees, Acta Informatica 9, 1 (1977), 23–29. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  132. D.T. Lee and C.K. Wong, Quintary trees: a file structure for multidimensional database systems, ACM Transactions on Database Systems 5, 4 (September 1980), 339–353. [point data]

    Article  MATH  Google Scholar 

  133. P. Letelier, Transmission d’ images a’bas debit pour un systeme de communication telephonique adapte’ aux sourds, These de docteuringehieur, Université de Paris-Sud, Paris, September 1983. [region representation]

    Google Scholar 

  134. M. Li, W.I. Grosky, and R. Jain, Normalized quadtrees with respect to translations, Computer Graphics and Image Processing 20, 1 (September 1982), 72–81. [storage requirements]

    Article  MATH  Google Scholar 

  135. J. Linn, General methods for parallel searching, Technical Report 81, Digital Systems Laboratory, Stanford University, Stanford, CA, May 1973. [point data]

    Google Scholar 

  136. R.J. Lipton and R.E. Tarjan, Application of a planar separator theorem, Proceedings of the Eighteenth Annual IEEE Symposium on the Foundations of Computer Science, Providence, October 1977, 162–170. [point data]

    Google Scholar 

  137. W. Litwin, Linear hashing: a new tool for file and table addressing, Proceedings of the Sixth International Conference on Very Large Data Bases, Montreal, October 1980, 212–223. [point data]

    Google Scholar 

  138. T. Lozano-Perez, Automatic planning of manipulator transfer movements, IEEE Transactions on Systems, Man, and Cybernetics 11, 10 (October 1981), 681–698. [three-dimensional data; path planning]

    Article  Google Scholar 

  139. G. Lueker, A data structure for orthogonal range queries, Proceedings 19th Symposium on Foundations of Computer Science, IEEE, October 1978, 28–34. [point data]

    Google Scholar 

  140. V.Y. Lum, Multi-attribute retrieval with combined indexes, Communications of the ACM 13, 11 (November 1970), 660–665. [point data]

    Article  Google Scholar 

  141. R. Lumia, L.Shapiro, and O. Zuniga, A new connected components algorithm for virtual memory computers, Computer Vision, Graphics, and Image Processing 22, 2 (May 1983), 287–300. [geometric property measurement]

    Article  Google Scholar 

  142. R. Lumia, A new three-dimensional connected components algorithm, Computer Vision, Graphics, and Image Processing 23, 2 (August 1983), 207–217. [geometric property measurement]

    Article  Google Scholar 

  143. E.M. McCreight, Priority search trees, SIAM Journal on Computing 14, 2 (May 1985), 257–276. [rectangles]

    Article  MathSciNet  MATH  Google Scholar 

  144. D.M. McKeown Jr. and J.L. Denlinger, Map-guided feature extraction from aerial imagery, Proceedings of the Workshop on Computer Vision: Representation and Control, Annapolis, April 1984, 205–213. [image processing]

    Google Scholar 

  145. D.M. Mark and D.J. Abel, Linear quadtrees from vector representations of polygons, IEEE Transactions on Pattern Analysis and Machine Intelligence 7, 3 (May 1984), 344–349. [region data]

    Article  Google Scholar 

  146. J.J. Martin, Organization of geographical data with quad trees and least square approximation, Proceedings of the IEEE Conference on Pattern Recognition and Image Procesbmg, Las Vegas, 1982, 458–463. [line data]

    Google Scholar 

  147. T. Matsuyama, L.V. Hao, and M. Nagao, A file organization for geographic information systems based on spatial proximity, Computer Vision, Graphics, and Image Processing 26, 3 (June 1984), 303–318. [region data]

    Article  Google Scholar 

  148. D. Meagher, Geometric modeling using octree encoding, Computer Graphics and Image Processing 19, 2 (June 1982), 129–147. [three-dimensional data]

    Article  Google Scholar 

  149. D. Meagher, The Solids engine: a processor for interactive solid modeling, Proceedings of the NICOGRAPH ’84 Conference, Tokyo, November 1984. [three-dimensional data]

    Google Scholar 

  150. K. Mehlhorn, Multi-dimensional Searching and Computational Geoemtry, Springer-Verlag, Berlin, 1984. [point data]

    Google Scholar 

  151. T.H. Merrett, Multidimensional paging for efficient database querying, Proceedings of the International Conference on Management of Data, Milan, June 1978, 277–289. [point data]

    Google Scholar 

  152. T.H. Merrett and E.J. Otoo, Dynamic multipaging: a storage structure for large shared data banks, in Improving Database Usability and Responsiveness, P. Scheuermann, Ed., Academic Press, New York, 1982, 237–254. [point data]

    Google Scholar 

  153. R.D. Merrill, Representations of contours and regions for efficient computer search, Communications of the ACM 16, 2 (February 1973), 69–82. [line data]

    Article  MathSciNet  Google Scholar 

  154. D.J. Milford and P.C. Willis, Quad encoded display, IEE Proceedings 131, E3 (May 1984), 70–75. [hardware]

    Google Scholar 

  155. G.M. Morton, A computer oriented geodetic data base and a new technique in file sequencing, IBM Ltd., Ottawa, Canada, 1966. [region representation]

    Google Scholar 

  156. S.P. Mudur and P.A. Koparkar, Interval methods for processing geometric objects, IEEE Computer Graphics and Applications 4, 2 (February 1984), 7–17. [general]

    Article  Google Scholar 

  157. G. Nagy and S. Wagle, Geographic data processing, ACM Computing Surveys 11, 2 (June 1979), 139–181. [line data]

    Article  Google Scholar 

  158. J. Nievergelt, H. Hinterberger, and K.C. Sevcik, The Grid File: an adaptable, symmetric multikey file structure, ACM Transactions on Database Systems 9, 1 (March 1984), 38–71. [point data]

    Article  Google Scholar 

  159. J. Nievergelt and F.P. Preparata, Plane-sweep algorithms for intersecting geometric figures, Communications of the ACM 25, 10 (October 1982), 739–746. [line data]

    Article  MATH  Google Scholar 

  160. N.J. Nilsson, A mobile automaton: an application of artificial intelligence techniques, Proceedings of the First International Joint Conference on Artificial Intelligence, Washington D.C., 1969, 509–520. [artificial intelligence]

    Google Scholar 

  161. M.A. Oliver, Two display algorithms for octrees, in Proceedings of the EURO-GRAPHICS’84 Conference, K. Bo and H.A. Tucker, Eds., North-Holland, 1984, 251–264. [three-dimensional data]

    Google Scholar 

  162. M.A. Oliver, T.R. King, and N.E. Wiseman, Quadtree scan conversion, in Proceedings of the EUROGRAPHICS’84 Conference, K. Bo and H.A. Tucker, Eds., North-Holland, 1984, 265–276. [region data]

    Google Scholar 

  163. M.A. Oliver and N.E. Wiseman, Operations on quadtree-encoded images, Computer Journal 26, l(February 1983), 83–91. [region representation]

    Article  Google Scholar 

  164. M.A. Oliver and N.E. Wiseman, Operations on quadtree leaves and related image areas, Computer Journal 26, 4(November 1983), 375–380. [region representation]

    MATH  Google Scholar 

  165. J.O. Omolayole and A. Klinger, A hierarchical data structure scheme for storing pictures, in Pictorial Information Systems, S.K. Chang and K.S. Fu, Eds., Springer-Verlag, 1980. [region representation]

    Google Scholar 

  166. J.A. Orenstein, Multidimensional tries used for associative searching, Information Processing Letters 14, 4(June 1982), 150–157. [point data]

    Article  Google Scholar 

  167. J.A. Orenstein, A dynamic hash file for random and sequential accessing, Proceedings of the Sixth International Conference on Very Large Data Bases, Florence, October 1983, 132–141. [point data]

    Google Scholar 

  168. J.A. Orenstein and T.H. Merrett, A class of data structures for associative searching, Proceedings of the Third ACM SIGACT-SIGMOD Symposium on Principles of Database Systems, Waterloo, April 1984, 181–190. [point data]

    Google Scholar 

  169. J. O’Rourke, Dynamically quantized spaces for focusing the Hough Transform, Proceedings of the Sixth International Joint Conference on Artificial Intelligence, Vancouver, August 1981, 737–739. [point data]

    Google Scholar 

  170. J. O’Rourke and K.R. Sloan Jr., Dynamic quantization: two adaptive data structures for multidimensional squares, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 3(May 1984), 266–280. [point data]

    Article  Google Scholar 

  171. T. Ottmann and D. Wood, 1–2 brother trees or AVL trees revisited, The Computer Journal 23, 3(August 1980), 248–255. [point data]

    MathSciNet  MATH  Google Scholar 

  172. M. Ouksel and P. Scheuermann, Storage mappings for multidimensional linear dynamic hashing, Proceedings of the Second ACM SIGACT-SIGMOD Symposium on Principles of Database Systems, Atlanta, March 1983, 90–105. [point data]

    Google Scholar 

  173. M.H. Overmars, The Design of Dynamic Data Structures, Lecture Notes in Computer Science 156, Springer-Verlag, New York, 1983. [point data]

    Google Scholar 

  174. M.H. Overmars and J. van Leeuwen, Dynamic multi-dimensional data structures based on quad- and k-d trees, Acta Informatica 17, 3(1982), 267–285. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  175. C.M. Park and A. Rosenfeld, Connectivity and genus in three dimensions, Computer Science TR-156, University of Maryland, College Park, MD, May 1971. [geometric property measurement]

    Google Scholar 

  176. F. Peters, An algorithm for transformations of pictures represented by quadtrees, to appear in Computer Vision, Graphics, and Image Processing (also Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands, 1984). [region representation; computer graphics]

    Google Scholar 

  177. T. Peucker, A theory of the cartographic line, International Yearbook of Cartography 16, 1976, 134–143. [line data]

    Google Scholar 

  178. D.J. Peuquet, Raster processing: an alternative approach to automated cartographic data handling, American Cartographer 6 2(April 1979), 129–139. [region data]

    Article  Google Scholar 

  179. D.J. Peuquet, A hybrid data structure for the storage and manipulation of very large spatial data sets, Computer Vision, Graphics, and Image Processing 24, (October 1983), 14–27. [region data]

    Article  Google Scholar 

  180. J.L. Pfaltz and A. Rosenfeld, Computer representation of planar regions by their skeletons, Communications of the ACM 10, 3(February 1967), 119–122. [medial axis transforms]

    Article  Google Scholar 

  181. M. Pietikainen, A. Rosenfeld, and I. Walter, Split-and-link algorithms for image segmentation, Pattern Recognition 15, 4(1982), 287–298. [pyramids]

    Article  Google Scholar 

  182. C. Puech and H. Yahia, Quadtrees, octrees, hyperoctrees: a unified analytical approach to tree data structures used in graphics, geometric modeling, and image processing, Proceedings of the Symposium on Computational Geometry, Baltimore, June 1985, 272–280. [region data]

    Google Scholar 

  183. V.V. Raghvan and C.T. Yu, A note on a multidimensional searching problem, Information Processing Letters 6, 4(August 1977), 133–135. [point data]

    Article  Google Scholar 

  184. V. Raman and S.S. Iyengar, Properties and applications of forests of quadtrees for pictorial data representation, BIT 23, 4(1983), 472–486. [region data]

    Article  MATH  Google Scholar 

  185. S. Ranade, Use of quadtrees for edge enhancement, IEEE Transactions on Systems, Man, and Cybernetics 11, 5(May 1981), 370–373. [image processing]

    Article  Google Scholar 

  186. S. Ranade, A. Rosenfeld, and J.M.S. Prewitt, Use of quadtrees for image segmentation, Computer Science TR-878, University of Maryland, College Park, MD, February 1980. [image processing]

    Google Scholar 

  187. S. Ranade, A. Rosenfeld, and H. Samet, Shape approximation using quadtrees, Pattern Recognition 25, 1(1982), 31–40. [image processing]

    Article  Google Scholar 

  188. S. Ranade and M. Shneier, Using quadtrees to smooth images, IEEE Transactions on Systems, Man, and Cybernetics 11, 5(May 1981), 373–376. [image processing]

    Article  Google Scholar 

  189. D.R. Reddy and S. Rubin, Representation of three-dimensional objects, CMU-CS-78–113, Computer Science Department, Carnegie-Mellon University, Pittsburgh, April 1978. [three-dimensional data]

    Google Scholar 

  190. E.M. Reingold and R.E. Tarjan, On the greedy heuristic for complete matching, SIAM Journal on Computing 10, 4(November 1981), 676–681. [point data; Euclidean matching]

    Article  MathSciNet  MATH  Google Scholar 

  191. A.A.G. Requicha, Representations of rigid solids: theory, methods, and systems, ACM Computing Surveys 12, 4(December 1980), 437–464. [three-dimensional data]

    Article  Google Scholar 

  192. W.C. Rheinboldt and C.K. Mesztenyi, On a data structure for adaptive finite element mesh refinements, ACM Transactions on Mathematical Software 6, 2(June 1980), 166–187. [numerical analysis]

    Article  MATH  Google Scholar 

  193. E.M. Riseman and M.A. Arbib, Computational techniques in the visual segmentation of static scenes, Computer Graphics and Image Processing 6, 3(June 1977), 221–276. [image processing]

    Article  Google Scholar 

  194. J.T. Robinson, The k-d-B-tree: a search structure for large multidimensional dynamic indexes, Proceedings of the SIGMOD Conference, Ann Arbor, Michigan, April 1981, 10–18. [point data]

    Google Scholar 

  195. J.B. Rosenberg, Geographical data structures compared: a study of data structures supporting region queries, IEEE Transactions on Computer-Aided Design 4, 1 (January 1985), 53–67. [rectangles]

    Article  Google Scholar 

  196. A. Rosenfeld, Ed., Multiresolution Image Processing and Analysis, Springer-Verlag, Berlin, 1983. [general]

    Google Scholar 

  197. Rosenfeld, A., Picture processing 1984, Computer Vision, Graphics, and Image Processing 26, 3(June 1984), 347–384. [general]

    Article  MathSciNet  Google Scholar 

  198. A. Rosenfeld and A.C. Kak, Digital Picture Processing, Second Edition, Academic Press, New York, 1982. [general]

    Google Scholar 

  199. A. Rosenfeld and J.L. Pfaltz, Sequential operations in digital image processing, Journal of the ACM 13, 4(October 1966), 471–494. [image processing]

    Article  MATH  Google Scholar 

  200. A. Rosenfeld, H. Samet, C. Shaffer, and R.E. Webber, Application of hierarchical data structures to geographical information systems, Computer Science TR-1197, University of Maryland, College Park, MD, June 1982. [geographic information systems]

    Google Scholar 

  201. A. Rosenfeld, H. Samet, C. Shaffer, and R.E. Webber, Application of hierarchical data structures to geographical information systems phase II, Computer Science TR 1327, University of Maryland, College Park, MD, September 1983. [geographic information systems]

    Google Scholar 

  202. S.D. Roth, Ray casting for modeling solids, Computer Graphics and Image Processing 18, 2(February 1982), 109–144. [computer graphics]

    Article  Google Scholar 

  203. D. Rutovitz, Data structures for operations on digital images, in Pictorial Pattern Recognition, G.C. Cheng et al., Eds., Thompson Book Co., Washington D.C., 1968, 105–133. [region representation]

    Google Scholar 

  204. H. Samet, Region representation: quadtrees from boundary codes, Communications of the ACM 23, 3(March 1980), 163–170. [region data]

    Article  MATH  Google Scholar 

  205. H. Samet, Region representation: quadtrees from binary arrays, Computer Graphics and Image Processing 13, l(May 1980), 88–93. [region data]

    Article  Google Scholar 

  206. H. Samet, Deletion in two-dimensional quad trees, Communications of the ACM 23, 12(December 1980), 703–710. [point data]

    Article  Google Scholar 

  207. H. Samet, An algorithm for converting rasters to quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 3, 1 (January 1981), 93–95. [region data]

    Article  Google Scholar 

  208. H. Samet, Connected component labeling using quadtrees, Journal of the ACM 28, 3(July 1981), 487–501. [geometric property measurement]

    Article  MathSciNet  MATH  Google Scholar 

  209. H. Samet, Computing perimeters of images represented by quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 3, 6(November 1981), 683–687. [geometric property measurement]

    Article  Google Scholar 

  210. H. Samet, Neighbor finding techniques for images represented by quadtrees, Computer Graphics and Image Processing 18, 1 (January 1982), 37–57. [region data]

    Article  MATH  Google Scholar 

  211. H. Samet, Distance transform for images represented by quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 4, 3(May 1982), 298–303. [medial axis transforms]

    Article  Google Scholar 

  212. H. Samet, A quadtree medial axis transform, Communications of the ACM 26, 9(September 1983), 680–693 (see also corrigendum, Communications of the ACM 27, 2(February 1984), 151). [medial axis transforms]

    Article  Google Scholar 

  213. H. Samet, Algorithms for the conversion of quadtrees to rasters, Computer Vision, Graphics, and Image Processing 26, 1(April 1984), 1–16. [region data]

    Article  MathSciNet  Google Scholar 

  214. H. Samet, The quadtree and related hierarchical data structures, ACM Computing Surveys 16, 2(June 1984), 187–260. [general]

    Article  MathSciNet  Google Scholar 

  215. H. Samet, A top-down quadtree traversal algorithm, IEEE Transactions on Pattern Analysis and Machine Intelligence 7, 1 (January 1985), 94–98 (also University of Maryland Computer Science TR-1237). [region data]

    Article  Google Scholar 

  216. H. Samet, Reconstruction of quadtrees from quadtree medial axis transforms, Computer Vision, Graphics, and Image Processing 29, 3(March 1985), 311–328 (also University of Maryland Computer Science TR-1224). [medial axis transforms]

    Article  Google Scholar 

  217. H. Samet, Data structures for quadtree approximation and compression, Communications of the ACM 28, 9(September 1985), 973–993 (also University of Maryland Computer Science TR-1209). [coding; approximation]

    Article  Google Scholar 

  218. H. Samet and A. Rosenfeld, Quadtree structures for image processing, Proceedings of the Fifth International Conference on Pattern Recognition, Miami Beach, December 1980, 815–818. [region data]

    Google Scholar 

  219. H. Samet, A. Rosenfeld, C. Shaffer, and R.E. Webber, Quadtree region representation in cartography: experimental results, IEEE Transactions on Systems, Man, and Cybernetics 13, 6(November/December 1983), pp. 1148–1154. [geographic information systems]

    Google Scholar 

  220. H. Samet, A. Rosenfeld, C. Shaffer, and R.E. Webber, A geographic information system using quadtrees, Pattern Recognition 17, 6(November/December 1984), 647–656. [geographic information systems]

    Article  Google Scholar 

  221. H. Samet, A. Rosenfeld, C.A. Shaffer, R.C. Nelson, and Y.G. Huang, Application of hierarchical data structures to geographical information systems Phase III, Computer Science TR 1457, University of Maryland, College Park, MD, November 1984. [geographic information systems]

    Google Scholar 

  222. H. Samet and C.A. Shaffer, A model for the analysis of neighbor finding in pointer-based quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 7, 6(November 1985) (also University of Maryland Computer Science TR-1432). [region data]

    Google Scholar 

  223. H. Samet, C.A. Shaffer, and R.E. Webber, The segment quadtree: a linear quadtreebased representation for linear features, Proceedings of Computer Vision and Pattern Recognition 85, San Francisco, June 1985, 385–389. [line data]

    Google Scholar 

  224. H. Samet and M. Tamminen, Efficient component labeling of images of arbitrary dimension, Computer Science TR-1480, University of Maryland, College Park, MD, February 1985 (subsumes TR-1420). [geometric property measurement]

    Google Scholar 

  225. H. Samet and M. Tamminen, Computing geometric properties of images represented by linear quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 7, 2(March 1985), 229–240 (also University of Maryland Computer Science TR 1359). [geometric property measurement]

    Article  Google Scholar 

  226. H. Samet and M. Tamminen, Bintrees, CSG trees, and time, Computer Graphics 19, 3(July 1985), pp. 121–130 (also Proceedings of the SIGGRAPH’85 Conference, San Francisco, July 1985 and University of Maryland Computer Science TR-1472). [three-dimensional data]

    Article  Google Scholar 

  227. H. Samet and R.E. Webber, On encoding boundaries with quadtrees, Computer Science TR-1162, University of Maryland, College Park, MD, February 1982. [line data]

    Google Scholar 

  228. H. Samet and R. E. Webber, Using quadtrees to represent polygonal maps, Proceedings of Computer Vision and Pattern Recognition 83, Washington, DC, June 1983, 127–132. [line data]

    Google Scholar 

  229. H. Samet and R.E. Webber, On encoding boundaries with quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 6, 3(May 1984), 365–369. [line data]

    Article  Google Scholar 

  230. H. Samet and R.E. Webber, Storing a collection of polygons using quadtrees, to appear in ACM Transactions on Graphics (also University of Maryland Computer Science TR-1372). [line data]

    Google Scholar 

  231. J.B. Saxe, On the number of range queries in k-space, Discrete Applied Math I, 3(1979), 217–225. [point data]

    Article  MathSciNet  Google Scholar 

  232. D.S. Scott and S.S. Iyengar, A new data structure for efficient storing of images, Pattern Recognition Letters 3, 3(May 1985), 211–214. [region representation]

    Article  Google Scholar 

  233. M.I. Shamos, Computational geometry, Ph.D. dissertation, Department of Computer Science, Yale University, New Haven, Connecticut, 1978. [point data]

    Google Scholar 

  234. M.I. Shamos and D. Hoey, Closest-point problems, Proceedings of the Sixteenth Annual IEEE Symposium on the Foundations of Computer Science, Berkeley, October 1975, 151–162. [point data]

    Google Scholar 

  235. M. Shneier, Path-length distances for quadtrees, Information Sciences 23, l(February 1981), 49–67. [region data]

    Article  MathSciNet  MATH  Google Scholar 

  236. M. Shneier, Calculations of geometric properties using quadtrees, Computer Graphics and Image Processing 16, 3(July 1981), 296–302. [region data]

    Article  Google Scholar 

  237. M. Shneier, Two hierarchical linear feature representations: edge pyramids and edge quadtrees, Computer Graphics and Image Processing 17, 3(November 1981), 211–224. [line data]

    Article  Google Scholar 

  238. Y.V. Silva Filho, Average case analysis of region search in balanced k-d trees, Information Processing Letters 8, 5(June 1979), 219–223. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  239. Y.V. Silva Filho, Optimal choice of discriminators in a balanced k-d binary search tree, Information Processing Letters 13, 2(November 1981), 67–70. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  240. K.R. Sloan Jr., Dynamically quantized pyramids, Proceedings of the Sixth International Joint Conference on Artificial Intelligence, Vancouver, August 1981, 734–736. [point data]

    Google Scholar 

  241. K.R. Sloan Jr. and S.L. Tanimoto, Progressive refinement of raster images, IEEE Transactions on Computers 28, 11 (November 1979), 871–874. [coding; approximation]

    Article  Google Scholar 

  242. N. Solntseff and D. Wood, Pyramids: A data type for matrix representation in PASCAL, BIT 17, (1977), 344–350. [point data; matrix representation]

    Article  MATH  Google Scholar 

  243. S.N. Srihari, Representation of three-dimensional digital images, ACM Computing Surveys 13, l(December 1981), 399–424. [three-dimensional data]

    Article  Google Scholar 

  244. Q. Stout, Linear-time component labeling and distance transforms in quadtrees, University of Michigan, Ann Arbor, 1985. [geometric property measurement]

    Google Scholar 

  245. I.E. Sutherland, R.F. Sproull, and R.A. Schumacker, A characterization of ten hidden-surface algorithms, ACM Computing Surveys 6, 1 (March 1974), 1–55. [computer graphics]

    Article  MATH  Google Scholar 

  246. M. Tamminen, The EXCELL method for efficient geometric access to data, Acta Polytechnica Scandinavica, Mathematics and Computer Science Series No. 34, Helsinki, 1981. [point data]

    Google Scholar 

  247. M. Tamminen, Hidden lines using the EXCELL method, Computer Graphics Forum 11, No. 3, 1982, 96–105. [computer graphics]

    Article  Google Scholar 

  248. M. Tamminen, Performance analysis of cell based geometric file organizations, Computer Vision, Graphics, and Image Processing 24, 2(November 1983), 168–181. [region data]

    Article  Google Scholar 

  249. M. Tamminen, Comment on quad- and octtrees, Communications of the ACM 27, 3(March 1984), 248–249. [region data]

    Article  Google Scholar 

  250. M. Tamminen, Encoding pixel trees, Computer Vision, Graphics, and Image Processing 28, 1(October 1984), 44–57. [region data]

    Article  Google Scholar 

  251. M. Tamminen and H. Samet, Efficient octree conversion by connectivity labeling, Computer Graphics 18, 3(July 1984), pp. 43–51 (also Proceedings of the SIGGRAPH’84 Conference, Minneapolis, July 1984). [three-dimensional data]

    Article  Google Scholar 

  252. S. Tanimoto, Pictorial feature distortion in a pyramid, Computer Graphics and Image Processing 5, 3(September 1976), 333–352. [pyramids]

    Article  Google Scholar 

  253. S.L. Tanimoto, Image transmission with gross information first, Computer Graphics and Image Processing 9, 1 (January 1979), 72–76. [coding; approximation]

    Article  Google Scholar 

  254. S. Tanimoto and A. Klinger, Eds., Structured Computer Vision, Academic Press, New York, 1980. [general]

    Google Scholar 

  255. S. Tanimoto and T. Pavlidis, A hierarchical data structure for picture processing, Computer Graphics and Image Processing 4, 2(June 1975), 104–119. [image processing]

    Article  Google Scholar 

  256. G.T. Toussaint, Pattern recognition and geometrical complexity, Proceedings of the Fifth International Conference on Pattern Recognition, Miami Beach, December 1980, 1324–1346. [general]

    Google Scholar 

  257. H. Tropf and H. Herzog, Multidimensional range search in dynamically balanced trees, Angewandte Informatik, 2(1981), 71–77. [point data]

    Google Scholar 

  258. L.W. Tucker, Control strategy for an expert vision system using quadtree refinement, Proceedings of the Workshop on Computer Vision: Representation and Control, Annapolis, April 1984, 214–218. [image processing]

    Google Scholar 

  259. L.W. Tucker, Computer vision using quadtree refinement, Ph.D. dissertation, Department of Electrical Engineering and Computer Science, Polytechnic Institute of New York, Brooklyn, NY, May 1984. [image processing]

    Google Scholar 

  260. L. Uhr, Layered “recognition cone” networks that preprocess, classify, and describe, IEEE Transactions on Computers 21, 7(July 1972), 758–768. [pyramids]

    Article  MATH  Google Scholar 

  261. A. Unnikrishnan and Y.V. Venkatesh, On the conversion of raster to linear quadtrees, Department of Electrical Engineering, Indian Institute of Science, Bangalore, India, May 1984. [region data]

    Google Scholar 

  262. V.K. Vaishnavi, Multidimensional height-balanced trees, IEEE Transactions on Computers 33, 4(April 1984), 334–343. [point data]

    Article  MATH  Google Scholar 

  263. V.K. Vaishnavi, H.P. Kriegel, and D. Wood, Space and time optimal algorithms for a class of rectangle intersection problems, Information Sciences 21, (1980), 59–67. [point data]

    Article  MATH  Google Scholar 

  264. V. Vaishnavi and D. Wood, Data structures for the rectangle containment and enclosure problems, Computer Graphics and Image Processing 13, (1980) 372–384. [point data]

    Article  Google Scholar 

  265. J. van Leeuwen and D. Wood, The measure problem for rectangular ranges in d-space, Journal of Algorithms 2, 3(September 1981), 282–300. [rectangles]

    Article  MathSciNet  MATH  Google Scholar 

  266. M.L.P. van Lierop, Transformations on pictures represented by leafcodes, Department of Mathematics and Computing Science, Eindhoven University of Technology, Eindhoven, The Netherlands, 1984. [region representation; computer graphics]

    Google Scholar 

  267. J. Veenstra and N. Ahuja, Octree generation from silhouette views of an object, Proceedings of the International Conference on Robotics, St. Louis, March 1985, 843–848. [three-dimensional data]

    Google Scholar 

  268. J.L. Warnock, A hidden surface algorithm for computer generated half tone pictures, Computer Science Department TR 4–15, University of Utah, Salt Lake City, June 1969. [computer graphics]

    Google Scholar 

  269. R.E. Webber, Analysis of quadtree algorithms, Ph.D. dissertation, Computer Science Department, University of Maryland, College Park, MD, March 1984 (also University of Maryland Computer Science TR-1376). [general]

    Google Scholar 

  270. W. Weber, Three types of map data structures, their ANDs and NOTs, and a possible OR, in Proceedings of the First International Advanced Study Symposium on Topological Data Structures for Geographic Information Systems, G. Dutton, Ed., Harvard Papers on Geographic Information Systems, 1978. [region representation]

    Google Scholar 

  271. M. White, N-trees: large ordered indexes for multi-dimensional space, U.S. Bureau of the Census, Statistical Research Division, 1982. [point data]

    Google Scholar 

  272. D.E. Willard, Balanced forests of #roman {k-d sup ∗# trees as a dynamic data structure, Aiken Computation Lab TR-23–78, Harvard University, Cambridge, 1978. [point data]

    Google Scholar 

  273. D.E. Willard, Polygon retrieval, SI AM Journal on Computing 11, 1 (February 1982), 149–165. [point data]

    Article  MathSciNet  MATH  Google Scholar 

  274. D.E. Willard, New data structures for orthogonal range queries, SI AM Journal on Computing 14, l(February 1982), 232–253. [point data]

    MathSciNet  Google Scholar 

  275. D.S. Wise, Representing matrices as quadtrees for parallel processors, Information Processing Letters 20, 4(May 1985), 195–199. [numerical analysis]

    Article  MathSciNet  Google Scholar 

  276. E.K. Wong and K.S. Fu, A hierarchical-orthogonal-space approach to collision-free path planning, Proceedings of the International Conference on Robotics, St. Louis, March 1985, 506–511. [three-dimensional data, path planning]

    Google Scholar 

  277. T.C. Woo, A combinatorial analysis of boundary data structure schemata, IEEE Computer Graphics and Applications 5, 3(March 1985), 19–27. [three-dimensional data]

    Article  MathSciNet  Google Scholar 

  278. J.R. Woodwark, The explicit quad tree as a structure for computer graphics, Computer Journal 25, 2(May 1982), 235–238. [region representation]

    Article  Google Scholar 

  279. J.R. Woodwark, Compressed quad trees, Computer Journal 27, 3(August 1984), 225–229. [region representation]

    Article  Google Scholar 

  280. A.Y. Wu, T.H. Hong, and A. Rosenfeld, Threshold selection using quadtrees, IEEE Transactions on Pattern Analysis and Machine Intelligence 4, 1 (January 1982), 90–94. [image processing]

    Article  MATH  Google Scholar 

  281. K. Yamaguchi, T.L. Kunii, K. Fujimura, and H. Toriya, Octree-related data structures and algorithms, IEEE Computer Graphics and Applications 4, 1 (January 1984), 53–59. [three-dimensional data]

    Article  Google Scholar 

  282. M. Yau, Generating quadtrees of cross-sections from octrees, Computer Vision, Graphics, and Image Processing 27, 2(August 1984), 211–238. [three-dimensional data]

    Article  Google Scholar 

  283. M. Yau and S.N. Srihari, A hierarchical data structure for multidimensional digital images, Communications of the ACM 26, 7(July 1983), 504–515. [three-dimensional data]

    Article  Google Scholar 

  284. M.A. Yerry and M.S. Shepard, A modified quadtree approach to finite element mesh generation, IEEE Computer Graphics and Applications 3, 1(January/February 1983), 39–46. [numerical analysis]

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1986 EUROGRAPHICS The European Association for Computer Graphics

About this paper

Cite this paper

Samet, H. (1986). Bibliography on quadtrees and related hierarchical data structures. In: Kessener, L.R.A., Peters, F.J., van Lierop, M.L.P. (eds) Data Structures for Raster Graphics. EurographicSeminars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-71071-1_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-71071-1_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-71073-5

  • Online ISBN: 978-3-642-71071-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics