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COMPGEOM
2005
ACM
13 years 9 months ago
Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaun...
Jonathan Richard Shewchuk
IMR
1998
Springer
13 years 11 months ago
Mesh Graph Structure for Longest-Edge Refinement Algorithms
In this paper we introduce and discuss a graph structure associated with longest-edge algorithms (algorithms based on the bisection of triangles by the longest-edge) which can be u...
Angel Plaza, José P. Suárez, Miguel ...
DAGSTUHL
2010
13 years 9 months ago
Generalized Swap Operation for Tetrahedrizations
Mesh optimization of 2D and 3D triangulations is used in multiple applications extensively. For example, mesh optimization is crucial in the context of adaptively discretizing geo...
Burkhard Lehner, Bernd Hamann, Georg Umlauf
SMA
2008
ACM
172views Solid Modeling» more  SMA 2008»
13 years 7 months ago
Guarding curvilinear art galleries with edge or mobile guards
In this paper we consider the problem of monitoring an art gallery modeled as a polygon, the edges of which are arcs of curves. We consider two types of guards: edge guards (these...
Menelaos I. Karavelas
ASPDAC
2001
ACM
103views Hardware» more  ASPDAC 2001»
13 years 11 months ago
Efficient minimum spanning tree construction without Delaunay triangulation
Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs o...
Hai Zhou, Narendra V. Shenoy, William Nicholls