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» Approximate convex decomposition of polygons
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COMPGEOM
2004
ACM
14 years 4 months ago
Approximate convex decomposition of polygons
We propose a strategy to decompose a polygon, containing zero or more holes, into “approximately convex” pieces. For many applications, the approximately convex components of ...
Jyh-Ming Lien, Nancy M. Amato
COMGEO
2008
ACM
13 years 10 months ago
Decomposing a simple polygon into pseudo-triangles and convex polygons
In this paper we consider the problem of decomposing a simple polygon into subpolygons that exclusively use vertices of the given polygon. We allow two types of subpolygons: pseud...
Stefan Gerdjikov, Alexander Wolff
COCOON
2006
Springer
14 years 2 months ago
A PTAS for Cutting Out Polygons with Lines
We present a simple O(m+n6 / 12 ) time (1+ )-approximation algorithm for the problem of cutting a convex n-gon out of a convex m-gon with line cuts of minimum total cutting length....
Sergey Bereg, Ovidiu Daescu, Minghui Jiang
GC
2007
Springer
13 years 10 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
14 years 2 months ago
Polygon Decomposition for Efficient Construction of Minkowski Sums
Several algorithms for computing the Minkowski sum of two polygons in the plane begin by decomposing each polygon into convex subpolygons. We examine different methods for decompo...
Pankaj K. Agarwal, Eyal Flato, Dan Halperin