Abstract
Tabular forms are commonly used in software. Those tabular forms are represented as rectangular dissections. In rectangular dissections, ruled line oriented operations such as cell merge, line and column operations are often used. With respect to ruled line oriented operations, 8k-ary grid graphs have been introduced as models of rectangular dissections that provide fast algorithms. This paper surveys octal and hexa-decimal grid graph models of rectangular dissections. First, octal grids, called octgrids, for single layer rectangular dissections and related algorithms are introduced. Next, hexa-decimal grid graphs for multiple layer rectangular dissections, called hexadeci-grids, and related algorithms are introduced. Furthermore, tetraicosa-grid graphs for rectangular solid dissections for CG applications, called tetraicosa-grids and related algorithms are introduced.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bentley, J.L.: Multidimensional binary search trees used for associative searching. Communications of the ACM 18(9), 509–517 (1975)
Kozminsky, K., Kinnen, E.: Rectangular Duals of Planar Graphs. Networks 16, 145–157 (1985)
Yaku, T., Futatsugi, K., Adachi, A., Moriya, E.: Hichart-A hierarchical flowchart description language. In: Proc. IEEE COMPSAC, vol. 11, pp. 157–163 (1987)
Burnett, M.M., Sheretov, A., Rothermel, G.: Scaling up a “What You See Is What You Test” Methodology to Spreadsheet Grids. In: Proc. VL, pp. 30–37 (1999)
Adachi, Y., Kobayashi, S., Tsuchida, K., Yaku, T.: An NCE Context-Sensitive Graph Grammar for Visual Design Languages. In: Proc. VL, pp. 228–235 (1999)
Yaku, T.: Representation of heterogeneous tessellation structures by graphs. Memoir of WAAP Meetings 108, 1–6 (2001), http://www.waap.gr.jp/waap-memoir/waap108/waap108_02-yaku/011201waap108tabl-e-rep-doc.pdf
Kirishima, T., Motohashi, T., Tsuchida, K., Yaku, T.: Table processing based on attribute graphs. In: Proc. 6th IASTED Internat. Conf. Software Engin. & Appli., pp. 131–136 (2002)
Arita, T., Kishira, S., Motohashi, T., Nomaki, K., Sugita, K., Tsuchida, K., Yaku, T.: Implementation of 24-ary grid representation for rectangular solid dissections. In: Proc. 4th GRAPP, pp. 103–106 (2009)
Koka, S., Anada, K., Nomaki, K., Shindo, Y., Yaku, T.: Row Manipulation in the Heterogeneous Tabular Forms with a Hexadecimal Grid Graph Model. In: Proc. ACM SAC, pp. 710–711 (2012)
Akagi, G., Anada, K., Koka, S., Nakayama, Y., Nomaki, K., Yaku, T.: A Resolution Reduction Method Multi-resolution Terrain Maps. In: SGIGRAPH 2012 Poster (2012) (to appear)
Yaku, T., Anada, K., Koka, S., Shindo, Y.: Kensei Tsuchida, Row Manipulation in the Heterogenous Tabular Forms with an Octal Grid Model. In: Proc. IEEE VL/HCC 2011, pp. 269–270 (2011)
Koka, S., Anada, K., Nomaki, K., Yaku, T.: Tabular Form Editing with a Hexadecimal Grid Graph Model. In: Proc. IEEE VL/HCC, pp. 253–254 (2011)
Shindo, Y., Anada, K., Anzai, K., Koka, S.: A Graph Grammar Model for Syntaxes of Financial Statements. In: Proc. IEEE VL/HCC, pp. 265–266 (2011)
Anada, K., Anzai, K., Koka, S., Yaku, T.: An Implementation of the 16-ary Grid Graphs for the Multiply Layered Rectangular Dissections. In: Proc. MSV 9, WORLDCOMP (2012), extended abstract
Yaku, T., Anzai, K., Anada, K., Koka, S.: 8k-ary Grid Graph Modeling of the Rectangular Meshes. In: Proc. MSV 9 (2012), extended abstract
Yaku, T., Anada, K., Anzai, K., Koka, S., Shimizu, M., Shindo, Y.: A Graph Grammar Model of Financial Statements with Heterogeneous Parts. In: Proc. MSV 9 (2012), extended abstract
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Yaku, T., Anada, K., Anzai, K., Koka, S., Miyadera, Y., Tsuchida, K. (2014). 8k-ary Grid Graph Models of Tabular Forms. In: Iida, S., Meseguer, J., Ogata, K. (eds) Specification, Algebra, and Software. Lecture Notes in Computer Science, vol 8373. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-54624-2_23
Download citation
DOI: https://doi.org/10.1007/978-3-642-54624-2_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-54623-5
Online ISBN: 978-3-642-54624-2
eBook Packages: Computer ScienceComputer Science (R0)