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» Topology determination and isolation for implicit plane curv...
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COMPGEOM
2009
ACM
13 years 12 months ago
On the topology of planar algebraic curves
We revisit the problem of computing the topology and geometry of a real algebraic plane curve. The topology is of prime interest but geometric information, such as the position of...
Jinsan Cheng, Sylvain Lazard, Luis Mariano Pe&ntil...
MICS
2010
107views more  MICS 2010»
13 years 3 months ago
The Newton Polygon of a Rational Plane Curve
The Newton polygon of the implicit equation of a rational plane curve is explicitly determined by the multiplicities of any of its parametrizations. We give an intersection-theoret...
Carlos D'Andrea, Martín Sombra
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
SMA
2003
ACM
170views Solid Modeling» more  SMA 2003»
13 years 10 months ago
Contour generators of evolving implicit surfaces
The contour generator is an important visibility feature of a smooth object seen under parallel projection. It is the curve on the surface which seperates front-facing regions fro...
Simon Plantinga, Gert Vegter
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