Paper Info
Title
Numerical Implicitization of Parametric Hypersurfaces with Linear Algebra
Abstract
We present a new method for implicitization of parametric curves, surfaces and hypersurfaces usingessen tially numerical linear algebra. The method is applicable for polynomial, rational as well as trigonometric parametric representations. The method can also handle monoparametric families of parametric curves, surfaces and hypersurfaces with a small additional amount of human interaction. We illustrate the method with a number of examples. The efficiency of the method compares well with the other available methods for implicitization.
Year
DOI
Venue
2000
10.1007/3-540-44990-6_13
AISC
Keywords
Field
DocType
monoparametric family,parametric curve,parametric hypersurfaces,numerical implicitization,tially numerical linear algebra,small additional amount,trigonometric parametric representation,new method,available method,linear algebra,human interaction,numerical linear algebra
Parametric surface,Linear algebra,Applied mathematics,Discrete mathematics,Parametric equation,Polynomial,Mathematical analysis,Symbolic computation,Parametric statistics,Hypersurface,Numerical linear algebra,Mathematics
Conference
Volume
ISSN
ISBN
1930
0302-9743
3-540-42071-1
Citations 
PageRank 
References 
36
1.85
22
Authors
4
Name
Order
Citations
PageRank
Robert M. Corless11239127.79
Mark W. Giesbrecht2774.54
Ilias S. Kotsireas316829.72
Stephen M. Watt467184.72