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DGCI
2005
Springer
14 years 1 months ago
Reversible Polygonalization of a 3D Planar Discrete Curve: Application on Discrete Surfaces
Abstract. Reversible polyhedral modelling of discrete objects is an important issue to handle those objects. We propose a new algorithm to compute a polygonal face from a discrete ...
Isabelle Sivignon, Florent Dupont, Jean-Marc Chass...
CCCG
1998
13 years 9 months ago
On point covers of c-oriented polygons
Let S be any family of n c-oriented polygons of the two-dimensional Euclidean plane E2 , i.e., bounded intersection of halfplanes whose normal directions of edges belong to a
Frank Nielsen
WADS
2007
Springer
165views Algorithms» more  WADS 2007»
14 years 1 months ago
A Near Linear Time Approximation Scheme for Steiner Tree Among Obstacles in the Plane
We present a polynomial-time approximation scheme (PTAS) for the Steiner tree problem with polygonal obstacles in the plane with running time O(n log2 n), where n denotes the numb...
Matthias Müller-Hannemann, Siamak Tazari
SMI
2006
IEEE
186views Image Analysis» more  SMI 2006»
14 years 1 months ago
BSP Shapes
We discuss a shape representation based on a set of disconnected (planar) polygons. The polygons are computed by creating a BSP that contains approximately linear surface patches ...
Carsten Stoll, Hans-Peter Seidel, Marc Alexa
COMPGEOM
2004
ACM
14 years 1 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu