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» Fairness Criteria for Algebraic Curves
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COMPUTING
2004
108views more  COMPUTING 2004»
13 years 4 months ago
Fairness Criteria for Algebraic Curves
We develop methods for the variational design of algebraic curves. Our approach is based on truly geometric fairness criteria, such as the elastic bending energy. In addition, we ...
Pavel Chalmovianský, Bert Jüttler
IMAMS
2007
157views Mathematics» more  IMAMS 2007»
13 years 5 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
AISC
1998
Springer
13 years 8 months ago
Real Parametrization of Algebraic Curves
There are various algorithms known for deciding the parametrizability (rationality) of a plane algebraic curve, and if the curve is rational, actually computing a parametrization....
J. Rafael Sendra, Franz Winkler
CORR
2008
Springer
116views Education» more  CORR 2008»
13 years 4 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...
TSP
2008
114views more  TSP 2008»
13 years 4 months ago
Zero-Forcing Precoding and Generalized Inverses
Abstract--We consider the problem of linear zero-forcing precoding design and discuss its relation to the theory of generalized inverses in linear algebra. Special attention is giv...
Ami Wiesel, Yonina C. Eldar, Shlomo Shamai