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CAD
2006
Springer
13 years 4 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
13 years 10 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
14 years 6 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»
13 years 4 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»
13 years 5 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