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» Real Parametrization of Algebraic Curves
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JSC
2007
63views more  JSC 2007»
13 years 7 months ago
On the geometry of parametrized bicubic surfaces
We start the study of the problem of describing the double point locus of a bicubic surface. Our motivation is to determine, whether a real bicubic patch over the unit square will...
André Galligo, Michael Stillman
CAGD
2006
103views more  CAGD 2006»
13 years 7 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...
CG
2004
Springer
13 years 7 months ago
A barcode shape descriptor for curve point cloud data
In this paper, we present a complete computational pipeline for extracting a compact shape descriptor for curve point cloud data. Our shape descriptor, called a barcode, is based ...
Anne D. Collins, Afra Zomorodian, Gunnar Carlsson,...
CORR
2011
Springer
206views Education» more  CORR 2011»
13 years 2 months ago
Arrangement Computation for Planar Algebraic Curves
We present a new certified and complete algorithm to compute arrangements of real planar algebraic curves. Our algorithm provides a geometric-topological analysis of the decompos...
Eric Berberich, Pavel Emeliyanenko, Alexander Kobe...
COMPGEOM
2009
ACM
14 years 2 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...