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» Visualisation of Implicit Algebraic Curves
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CG
2011
Springer
12 years 8 months ago
Feature based volumes for implicit intersections
The automatic generation of volumes bounding the intersection of two implicit surfaces (isosurfaces of real functions of 3D point coordinates) or Feature Based Volumes (FBV) is pr...
Oleg Fryazinov, Pierre-Alain Fayolle, Turlif Vilbr...
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 6 months ago
Regularity Criteria for the Topology of Algebraic Curves and Surfaces
In this paper, we consider the problem of analysing the shape of an object defined by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
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
CVPR
1998
IEEE
14 years 6 months ago
A New Complex Basis for Implicit Polynomial Curves and its Simple Exploitation for Pose Estimation and Invariant Recognition
New representations are developed for 2D IP (implicit polynomial) curves ofarbitrary degree. These representations permit shape recognition and pose estimation with essentially sin...
David B. Cooper, Jean-Philippe Tarel
PG
2007
IEEE
13 years 11 months ago
A Subdivision Arrangement Algorithm for Semi-Algebraic Curves: An Overview
We overview a new method for computing the arrangement of semi-algebraic curves. A subdivision approach is used to compute the topology of the algebraic objects and to segment the...
Julien Wintz, Bernard Mourrain