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» Real Parametrization of Algebraic Curves
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JSC
2007
63views more  JSC 2007»
14 years 11 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»
14 years 11 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
14 years 11 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»
14 years 6 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
15 years 6 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...