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» On theoretical backgrounds of CAD
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CAD
2006
Springer
13 years 8 months ago
Field modeling with sampled distances
Traditional mesh-based approaches to the modeling and analysis of physical fields within geometric models require some form of topological reconstruction and conversion in the mes...
Michael Freytag, Vadim Shapiro, Igor G. Tsukanov
CAD
2006
Springer
13 years 8 months ago
Region-expansion for the Voronoi diagram of 3D spheres
Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known....
Donguk Kim, Deok-Soo Kim
CAD
2006
Springer
13 years 8 months ago
Trimming local and global self-intersections in offset curves/surfaces using distance maps
A robust and efficient algorithm for trimming both local and global self-intersections in offset curves and surfaces is presented. Our scheme is based on the derivation of a ratio...
Joon-Kyung Seong, Gershon Elber, Myung-Soo Kim
CAD
2006
Springer
13 years 8 months ago
A sweepline algorithm for Euclidean Voronoi diagram of circles
Presented in this paper is a sweepline algorithm to compute the Voronoi diagram of a set of circles in a two-dimensional Euclidean space. The radii of the circles are non-negative...
Li Jin, Donguk Kim, Lisen Mu, Deok-Soo Kim, Shi-Mi...
CAD
2006
Springer
13 years 8 months ago
Approximating curves and their offsets using biarcs and Pythagorean hodograph quintics
This paper compares two techniques for the approximation of the offsets to a given planar curve. The two methods are based on approximate conversion of the planar curve into circu...
Zbynek Sír, Robert Feichtinger, Bert Jü...