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COMGEO
2006
ACM
14 years 11 months ago
On the sizes of Delaunay meshes
Let P be a polyhedral domain occupying a convex volume. We prove that the size of a graded mesh of P with bounded vertex degree is within a factor O(H3 P ) of the size of any Dela...
Siu-Wing Cheng
COMGEO
1999
ACM
14 years 10 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
COMGEO
2007
ACM
14 years 11 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
COMGEO
2006
ACM
14 years 11 months ago
Octrees with near optimal cost for ray-shooting
Predicting and optimizing the performance of ray shooting is a very important problem in computer graphics due to the severe computational demands of ray tracing and other applica...
Hervé Brönnimann, Marc Glisse
COMGEO
2006
ACM
14 years 11 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw