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CAD
2006
Springer
14 years 9 months ago
Computing minimum distance between two implicit algebraic surfaces
The minimum distance computation problem between two surfaces is very important in many applications such as robotics, CAD/CAM and computer graphics. Given two implicit algebraic ...
Xiao-Diao Chen, Jun-Hai Yong, Guo-Qin Zheng, Jean-...
HLK
2003
IEEE
15 years 2 months ago
Generic Deformable Implicit Mesh Models for Automated Reconstruction
Deformable 3–D models can be represented either as explicit or implicit surfaces. Explicit surfaces, such as triangulations or wire-frame models, are widely accepted in the Comp...
Slobodan Ilic, Pascal Fua
ICPR
2006
IEEE
15 years 10 months ago
Geodesic Curves for Analysis of Continuous Implicit Shapes
A method is proposed for performing shape analysis of m-surfaces, e.g. planar curves and surfaces, with a geometric interpretation. The analysis uses an implicit surface represent...
Jan Erik Solem
CAGD
2006
103views more  CAGD 2006»
14 years 9 months ago
The implicit structure of ridges of a smooth parametric surface
Given a smooth surface, a blue (red) ridge is a curve such that at each of its points, the maximum (minimum) principal curvature has an extremum along its curvature line. Ridges a...
Frédéric Cazals, Jean-Charles Faug&e...
AAECC
2007
Springer
117views Algorithms» more  AAECC 2007»
14 years 9 months ago
A predictor-corrector-type technique for the approximate parameterization of intersection curves
Abstract We describe a method to approximate a segment of the intersection curve of two implicitly defined surfaces by a rational parametric curve. Starting from an initial soluti...
Bert Jüttler, Pavel Chalmovianský