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» Regularity Criteria for the Topology of Algebraic Curves and...
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IMAMS
2007
157views Mathematics» more  IMAMS 2007»
8 years 7 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 deļ¬ned by polynomial equations in a domain. We describe regularity criteria which allow us to determine...
Lionel Alberti, Bernard Mourrain
CORR
2008
Springer
116views Education» more  CORR 2008»
8 years 6 months ago
On the Computation of the Topology of a Non-Reduced Implicit Space Curve
An algorithm is presented for the computation of the topology of a non-reduced space curve defined as the intersection of two implicit algebraic surfaces. It computes a Piecewise ...
Daouda Niang Diatta, Bernard Mourrain, Olivier Rua...
PG
2007
IEEE
9 years 16 days ago
Visualisation of Implicit Algebraic Curves
We describe a new algorithm for the visualisation of implicit algebraic curves, which isolates the singular points, compute the topological degree around these points in order to ...
Lionel Alberti, Bernard Mourrain
CVGIP
2002
174views more  CVGIP 2002»
8 years 6 months ago
Computing quadric surface intersections based on an analysis of plane cubic curves
Computing the intersection curve of two quadrics is a fundamental problem in computer graphics and solid modeling. We present an algebraic method for classifying and parameterizin...
Wenping Wang, Barry Joe, Ronald N. Goldman
CGF
2008
113views more  CGF 2008»
8 years 6 months ago
Surface sampling and the intrinsic Voronoi diagram
We develop adaptive sampling criteria which guarantee a topologically faithful mesh and demonstrate an improvement and simplification over earlier results, albeit restricted to 2D...
Ramsay Dyer, Hao Zhang 0002, Torsten Möller
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