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» Flipping Edges in Triangulations
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CCCG
2006
13 years 9 months ago
Polygons Flip Finitely: Flaws and a Fix
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
ICALP
1991
Springer
13 years 11 months ago
The Expected Extremes in a Delaunay Triangulation
We give an expected-case analysis of Delaunay triangulations. To avoid edge effects we consider a unit-intensity Poisson process in Euclidean d-space, and then limit attention to...
Marshall W. Bern, David Eppstein, F. Frances Yao
JAL
2006
114views more  JAL 2006»
13 years 7 months ago
A wide-range algorithm for minimal triangulation from an arbitrary ordering
We present a new algorithm, called LB-Triang, which computes minimal triangulations. We give both a straightforward O(nm0) time implementation and a more involved O(nm) time imple...
Anne Berry, Jean Paul Bordat, Pinar Heggernes, Gen...
VISUALIZATION
1999
IEEE
13 years 12 months ago
Spiraling Edge: Fast Surface Reconstruction from Partially Organized Sample Points
Many applications produce three-dimensional points that must be further processed to generate a surface. Surface reconstruction algorithms that start with a set of unorganized poi...
Patricia Crossno, Edward Angel
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 7 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov