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» Real Parametrization of Algebraic Curves
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WEA
2009
Springer
104views Algorithms» more  WEA 2009»
14 years 2 months ago
Univariate Algebraic Kernel and Application to Arrangements
We present a cgal-based univariate algebraic kernel, which provides certied real-root isolation of univariate polynomials with integer coecients and standard functionalities such...
Sylvain Lazard, Luis Mariano Peñaranda, Eli...
VW
2009
Springer
130views Virtual Reality» more  VW 2009»
14 years 1 days ago
Towards a Definition of Virtual Objects Using Partial Differential Equations
—We propose an efficient alternative to commonly used parametric surfaces such as NURBS surfaces for definition of complex geometry in shared virtual spaces. Our mathematical mod...
Hassan Ugail, Gabriela González Castro, Ale...
ISSAC
1995
Springer
125views Mathematics» more  ISSAC 1995»
13 years 11 months ago
Numeric-Symbolic Algorithms for Evaluating One-Dimensional Algebraic Sets
: We present e cient algorithms based on a combination of numeric and symbolic techniques for evaluating one-dimensional algebraic sets in a subset of the real domain. Given a desc...
Shankar Krishnan, Dinesh Manocha
ECCV
2002
Springer
14 years 8 months ago
Using Robust Estimation Algorithms for Tracking Explicit Curves
The context of this work is lateral vehicle control using a camera as a sensor. A natural tool for controlling a vehicle is recursive filtering. The well-known Kalman fil...
Jean-Philippe Tarel, Sio-Song Ieng, Pierre Charbon...
EJC
2000
13 years 7 months ago
Cyclic Polytopes and Oriented Matroids
Consider the moment curve in the real Euclidean space Rd defined parametrically by the map : R Rd , t (t) = (t, t2 , . . . , td ). The cyclic d-polytope Cd(t1, . . . , tn) is t...
Raul Cordovil, Pierre Duchet