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ISSAC
1995
Springer
119views Mathematics» more  ISSAC 1995»
13 years 11 months ago
The Singular Value Decomposition for Polynomial Systems
This paper introduces singular value decomposition (SVD) algorithms for some standard polynomial computations, in the case where the coefficients are inexact or imperfectly known....
Robert M. Corless, Patrizia M. Gianni, Barry M. Tr...
GMP
2006
IEEE
137views Solid Modeling» more  GMP 2006»
14 years 1 months ago
Theoretically Based Robust Algorithms for Tracking Intersection Curves of Two Deforming Parametric Surfaces
Abstract. This paper presents the mathematical framework, and develops algorithms accordingly, to continuously and robustly track the intersection curves of two deforming parametri...
Xianming Chen, Richard F. Riesenfeld, Elaine Cohen...
DSSCV
2005
Springer
14 years 1 months ago
Pre-symmetry Sets of 3D Shapes
We show that the pre-symmetry set of a smooth surface in 3-space has the structure of the graph of a function from R2 to R2 in many cases of interest, generalising known results fo...
André Diatta, Peter J. Giblin
ISSAC
1998
Springer
101views Mathematics» more  ISSAC 1998»
13 years 11 months ago
Efficient Algorithms for Computing the Nearest Polynomial with Constrained Roots
Continuous changes of the coefficients of a polynomial move the roots continuously. We consider the problem finding the minimal perturbations to the coefficients to move a root to...
Markus A. Hitz, Erich Kaltofen
MICCAI
2006
Springer
14 years 8 months ago
Brain Surface Conformal Parameterization with Algebraic Functions
In medical imaging, parameterized 3D surface models are of great interest for anatomical modeling and visualization, statistical comparisons of anatomy, and surface-based registrat...
Yalin Wang, Xianfeng Gu, Tony F. Chan, Paul M. Tho...