Abstract
Thinning on binary images is an iterative layer by layer erosion until only the “skeletons” of the objects are left. This paper presents an efficient parallel 3D surface–thinning algorithm. A three–subiteration strategy is proposed: the thinning operation is changed from iteration to iteration with a period of three according to the three deletion directions.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arcelli, C., Sanniti di Baja, G., Serino, L.: New removal operators for surface skeletonization. In: Kuba, A., Nyúl, L.G., Palágyi, K. (eds.) DGCI 2006. LNCS, vol. 4245, pp. 555–566. Springer, Heidelberg (2006)
Bertrand, G., Aktouf, Z.: A 3D thinning algorithms using subfields. In: Proc. SPIE Conf. on Vision Geometry III, vol. 2356, pp. 113–124 (1994)
Bertrand, G.: A parallel thinning algorithm for medial surfaces. Pattern Recognition Letters 16, 979–986 (1995)
Blum, H.: A transformation for extracting new descriptors of shape. In: Models for the Perception of Speech and Visual Form, pp. 362–380. MIT Press, Cambridge (1967)
Gong, W.X., Bertrand, G.: A simple parallel 3D thinning algorithm. In: Proc. 10th Int. Conf. on Pattern Recognition, pp. 188–190 (1990)
Hall, R.W.: Parallel connectivity–preserving thinning algorithms. In: Kong, T.Y., Rosenfeld, A. (eds.) Topological algorithms for digital image processing, pp. 145–179. Elsevier Science, Amsterdam (1996)
Kong, T.Y., Rosenfeld, A.: Digital topology: Introduction and survey. Computer Vision, Graphics, and Image Processing 48, 357–393 (1989)
Lee, T., Kashyap, R.L., Chu, C.: Building skeleton models via 3–D medial surface/axis thinning algorithms. CVGIP: Graphical Models and Image Processing 56, 462–478 (1994)
Lohou, C., Bertrand, G.: A 3D 6-subiteration curve thinning algorithm based on P-simple points. Discrete Applied Mathematics 151, 198–228 (2005)
Malandain, G., Bertrand, G.: Fast characterization of 3D simple points. In: Proc. 11th IEEE Internat. Conf. on Pattern Recognition, pp. 232–235 (1992)
Manzanera, A., Bernard, T.M., Pretêux, F., Longuet, B.: Medial faces from a concise 3D thinning algorithm. In: Proc. 7th IEEE Internat. Conf. Computer Vision, ICCV 1999, pp. 337–343 (1999)
Mukherjee, J., Das, P.P., Chatterjee, B.N.: On connectivity issues of ESPTA. Pattern Recognition Letters 11, 643–648 (1990)
Palágyi, K., Kuba, A.: A 3D 6–subiteration thinning algorithm for extracting medial lines. Pattern Recognition Letters 19, 613–627 (1998)
Palágyi, K., Kuba, A.: Directional 3D thinning using 8 subiterations. In: Bertrand, G., Couprie, M., Perroton, L. (eds.) DGCI 1999. LNCS, vol. 1568, pp. 325–336. Springer, Heidelberg (1999)
Palágyi, K., Kuba, A.: A parallel 3D 12–subiteration thinning algorithm. Graphical Models and Image Processing 61, 199–221 (1999)
Palágyi, K.: A 3-subiteration 3D thinning algorithm for extracting medial surfaces. Pattern Recognition Letters 23, 663–675 (2002)
Palágyi, K.: Efficient implementation of 3D thinning algorithms. In: Proc. 6th Conf. Hungarian Association for Image Processing and Pattern Recognition, pp. 266–274 (2007)
Tsao, Y.F., Fu, K.S.: A parallel thinning algorithm for 3–D pictures. Computer Graphics and Image Processing 17, 315–331 (1981)
Xie, W., Thompson, R.P., Perucchio, R.: A topology-preserving parallel 3D thinning algorithm for extracting the curve skeleton. Pattern Recognition 36, 1529–1544 (2003)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Palágyi, K. (2007). A Subiteration-Based Surface-Thinning Algorithm with a Period of Three. In: Hamprecht, F.A., Schnörr, C., Jähne, B. (eds) Pattern Recognition. DAGM 2007. Lecture Notes in Computer Science, vol 4713. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74936-3_30
Download citation
DOI: https://doi.org/10.1007/978-3-540-74936-3_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74933-2
Online ISBN: 978-3-540-74936-3
eBook Packages: Computer ScienceComputer Science (R0)