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» Computational geometry: a retrospective
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COMPGEOM
2001
ACM
15 years 10 months ago
PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation
: Many geometric problems like generalized Voronoi diagrams, medial axis computations and boundary evaluation involve computation and manipulation of non-linear algebraic primitive...
Shankar Krishnan, Mark Foskey, Tim Culver, John Ke...
COMPGEOM
2009
ACM
16 years 1 months ago
Computing hereditary convex structures
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...
Bernard Chazelle, Wolfgang Mulzer
COMPGEOM
2000
ACM
15 years 10 months ago
Fast computation of generalized Voronoi diagrams using graphics hardware
: We present a new approach for computing generalized Voronoi diagrams in two and three dimensions using interpolation-based polygon rasterization hardware. The input primitives ma...
Kenneth E. Hoff III, Tim Culver, John Keyser, Ming...
IMR
2005
Springer
15 years 12 months ago
A Computational Framework for Generating Sizing Function in Assembly Meshing
This paper proposes a framework for generating sizing function in meshing assemblies. Size control is crucial in obtaining a high-quality mesh with a reduced number of elements, w...
William Roshan Quadros, Ved Vyas, Michael L. Brewe...
GMP
2010
IEEE
214views Solid Modeling» more  GMP 2010»
15 years 10 months ago
Efficient Computation of 3D Clipped Voronoi Diagram
The Voronoi diagram is a fundamental geometry structure widely used in various fields, especially in computer graphics and geometry computing. For a set of points in a compact 3D d...
Dong-Ming Yan, Wenping Wang, Bruno Lévy, Ya...