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» Algorithms on negatively curved spaces
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IWCIA
2004
Springer
13 years 11 months ago
Minimum-Length Polygon of a Simple Cube-Curve in 3D Space
We consider simple cube-curves in the orthogonal 3D grid of cells. The union of all cells contained in such a curve (also called the tube of this curve) is a polyhedrally bounded s...
Fajie Li, Reinhard Klette
SMA
2009
ACM
219views Solid Modeling» more  SMA 2009»
14 years 2 days ago
Log-aesthetic space curve segments
For designing aesthetic surfaces, such as the car bodies, it is very important to use aesthetic curves as characteristic lines. In such curves, the curvature should be monotonical...
Norimasa Yoshida, Ryo Fukuda, Takafumi Saito
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 5 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...
CAGD
2010
118views more  CAGD 2010»
13 years 5 months ago
Topology of 2D and 3D rational curves
In this paper we present algorithms for computing the topology of planar and space rational curves defined by a parametrization. The algorithms given here work directly with the p...
Juan Gerardo Alcázar, Gema María D&i...
ANTS
2006
Springer
93views Algorithms» more  ANTS 2006»
13 years 9 months ago
Classification of Genus 3 Curves in Special Strata of the Moduli Space
Abstract. We describe the invariants of plane quartic curves -- nonhyperelliptic genus 3 curves in their canonical model -- as determined by Dixmier and Ohno, with application to t...
Martine Girard, David R. Kohel