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Decomposing polygonal regions into convex quadrilaterals

Published: 01 June 1985 Publication History
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References

[1]
{AHU} A. V. Aho, J. E. Hopcroft, and J. P. Ullman, The Design and Analysis of Computer Algorithms, Addison-Wesley, Reading MA, 1974.
[2]
{CD} B. Chazelle and D. Dobkin, Decomposing a polygon into its convex parts, Proc. 11th Annual ACM Symp. on Theory of Computing, 1979, 34-48.
[3]
{EOW} H. Edelsbrunner, J. O'Rourke, E. Welzl. Stationing guards in rectilinear art galleries, Computer Vision, Graphics, and Image Processing 27, 1984, 167-176.
[4]
{F} S. Fisk, A short proof of Chvátal's watchman theorem, J. Combinatorial Theory B 24, 1978, 374.
[5]
{GJ} M. R. Garey and D. S. Johnson, Computers and Intractability: A Guide to the Theory of NP-completeness , Freeman, San Francisco, 1979.
[6]
{GJPT} M. R. Garey, D. S. Johnson, F. P. Preparata and R. E. Tarjan, Triangulating a simple polygon, Information Processing Letters 7, 1978, 175- 179.
[7]
{K} J. M. Keil, Decomposing Polygons into Simpler Components, Ph.D. thesis, Dept. Computer Science, U. of Toronto, 1983.
[8]
{KKK} J. Kahn, M. Klawe and D. Kleitman. Traditional galleries require fewer watchmen, SIAM J. Algebraic and Discrete Methods 4, 1983, 194- 206.
[9]
{L} D. Lichtenstein, Planar satisfiability and its uses, SIAM J. Computing 11, 1982, 329-343.
[10]
{Ln} A. Lingas, The power of non-rectilinear holes, Proc. 9th Coll. on Automata, Languages, and Programming, Lecture Notes in Computer Science 140, Springer-Verlag, New York, 1982, 369-383.
[11]
{LPRS} A. Lingas, R. Y. Pinter, R. L. Rivest, A. Shamir, Minimum edge length decomposition of rectilinear polygons, unpublished manuscript.
[12]
{O} J. O'Rourke, An alternate proof of the rectilinear art gallery theorem, J. Geometry 21, 1983, 118-130.
[13]
{PS} W. Paul and J. Simon, Decision trees and random access machines, Logic and Algorithmic, Monograph 30, L'Enseignement Mathematique, 1980.
[14]
{PLLML} L. Pagli, E. Lodi, F. Luccio, C. Mugnai, W. Lipski, On two dimensional data organization 2, Fundamenta Informaticae, Vol. 2, No. 3, 1979.
[15]
{S} J.-R. Sack, An O(nlogn) algorithm for decomposing simple rectilinear polygons into convex quadrilaterals, Proc. 20th Allerton Conf., 1982, 64-74.
[16]
{SH} M. I. Shamos and D. J. Hoey, Geometric intersection problems, Proc. 17th Annual IEEE Symp. on Foundations of Computer Science, 1976, 208-215.
[17]
{T} G. T. Toussaint. Pattern recognition and geometric complexity, 5th Internat. Conf. on Pattern Recognition, 1980, 1324-1347.
[18]
{Ta} R. E. Tarjan, Data Structures and Network Algorithms, CBMS-NSF Regional Conf. Series in Applied Math., SIAM, Philadelphia, 1983.

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cover image ACM Conferences
SCG '85: Proceedings of the first annual symposium on Computational geometry
June 1985
322 pages
ISBN:0897911636
DOI:10.1145/323233
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 01 June 1985

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  • (2023)Rectangularization of Digital Objects and Its Relation with Straight SkeletonsCombinatorial Image Analysis10.1007/978-3-031-23612-9_2(31-45)Online publication date: 1-Jan-2023
  • (2022)Vertex Guarding for Dynamic Orthogonal Art GalleriesInternational Journal of Computational Geometry & Applications10.1142/S021819592150006031:02n03(123-140)Online publication date: 25-Jan-2022
  • (2020)Convex Quadrangulations of Bichromatic Point SetsInternational Journal of Computational Geometry & Applications10.1142/S021819591950010929:04(289-299)Online publication date: 6-May-2020
  • (2020)Counting Polygon Triangulations is HardDiscrete & Computational Geometry10.1007/s00454-020-00251-7Online publication date: 13-Oct-2020
  • (2019)Guarding Orthogonal Art Galleries with Sliding k-TransmittersAlgorithmica10.1007/s00453-018-0433-681:1(69-97)Online publication date: 1-Jan-2019
  • (2017)On Guarding Orthogonal Polygons with Sliding CamerasWALCOM: Algorithms and Computation10.1007/978-3-319-53925-6_5(54-65)Online publication date: 21-Feb-2017
  • (2016)The Orthogonal Art Gallery Theorem with Constrained GuardsElectronic Notes in Discrete Mathematics10.1016/j.endm.2016.09.00654(27-32)Online publication date: Oct-2016
  • (2016)How to Guard Orthogonal PolygonsDiscrete & Computational Geometry10.1007/s00454-015-9756-055:2(410-422)Online publication date: 1-Mar-2016
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