TY - GEN

T1 - Quadrangulations of planar sets

AU - Toussaint, Godfried

N1 - Publisher Copyright:
© 1995, Springer-Verlag. All rights reserved.
Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.

PY - 1995

Y1 - 1995

N2 - Given a set S such as a polygon or a set of points, a quadrangulation of S is a partition of the interior of S, if 5 is a polygon, or the interior of the convex hull of S, if 5 is a set of points, into quadrangles (quadrilaterals) obtained by inserting edges between pairs of points (diagonals between vertices of the polygon) such that the edges intersect each other only at their end points. Not all polygons or sets of points admit quadrangulations, even when the quadrangles are not required to be convex (convex quadrangulations). In this paper we briefly survey some recent results concerning the characterization of those planar sets that always admit quadrangulations (convex and non-convex) as well as some related computational problems.

AB - Given a set S such as a polygon or a set of points, a quadrangulation of S is a partition of the interior of S, if 5 is a polygon, or the interior of the convex hull of S, if 5 is a set of points, into quadrangles (quadrilaterals) obtained by inserting edges between pairs of points (diagonals between vertices of the polygon) such that the edges intersect each other only at their end points. Not all polygons or sets of points admit quadrangulations, even when the quadrangles are not required to be convex (convex quadrangulations). In this paper we briefly survey some recent results concerning the characterization of those planar sets that always admit quadrangulations (convex and non-convex) as well as some related computational problems.

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U2 - 10.1007/3-540-60220-8_64

DO - 10.1007/3-540-60220-8_64

M3 - Conference contribution

AN - SCOPUS:79960588154

SN - 3540602208

SN - 9783540602200

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 218

EP - 227

BT - Algorithms and Data Structures - 4th International Workshop, WADS 1995, Proceedings

A2 - Akl, Selim G.

A2 - Dehne, Frank

A2 - Sack, Jörg-Rüdiger

A2 - Santoro, Nicola

PB - Springer Verlag

T2 - 4th Workshop on Algorithms and Data Structures, WADS 1995

Y2 - 16 August 1995 through 18 August 1995

ER -