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GC
2007
Springer
13 years 4 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...
COMGEO
2008
ACM
13 years 4 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
CAIP
2007
Springer
132views Image Analysis» more  CAIP 2007»
13 years 11 months ago
Decomposing a Simple Polygon into Trapezoids
Chazelle’s triangulation [1] forms today the common basis for linear-time Euclidean shortest path (ESP) calculations (where start and end point are given within a simple polygon)...
Fajie Li, Reinhard Klette
COMPGEOM
2004
ACM
13 years 10 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
FOCS
2009
IEEE
13 years 11 months ago
Decomposing Coverings and the Planar Sensor Cover Problem
We show that a k-fold covering using translates of an arbitrary convex polygon can be decomposed into Omega(k) covers (using an efficient algorithm). We generalize this result to ...
Matt Gibson, Kasturi R. Varadarajan