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CAGD
2002
61views more  CAGD 2002»
13 years 5 months ago
Polynomial parametrization of curves without affine singularities
This paper gives an algorithm for computing proper polynomial parametrizations for a particular class of curves. This class is characterized by the existence of a polynomial param...
Jaime Gutierrez, Rosario Rubio, Josef Schicho
CAGD
2008
99views more  CAGD 2008»
13 years 5 months ago
Topology and arrangement computation of semi-algebraic planar curves
We describe a new subdivision method to efficiently compute the topology and the arrangement of implicit planar curves. We emphasize that the output topology and arrangement are g...
Lionel Alberti, Bernard Mourrain, Julien Wintz
PG
2007
IEEE
13 years 11 months 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
COMPGEOM
2005
ACM
13 years 7 months ago
On the exact computation of the topology of real algebraic curves
We consider the problem of computing a representation of the plane graph induced by one (or more) algebraic curves in the real plane. We make no assumptions about the curves, in p...
Raimund Seidel, Nicola Wolpert
GMP
2006
IEEE
161views Solid Modeling» more  GMP 2006»
13 years 11 months ago
Tracking Point-Curve Critical Distances
This paper presents a novel approach to continuously and robustly tracking critical (geometrically, perpendicular and/or extremal) distances from a moving plane point p ∈ R2 to a...
Xianming Chen, Elaine Cohen, Richard F. Riesenfeld