A generalized projective implicitization theorem is presented that can be used to solve the implicitization of rational parametric curves and surfaces in an affine space. The Groebner bases technique is used to implement the algorithm. The algorithm has the advantages that it can handle base points
Implicitization of rational surfaces by means of polynomial interpolation
✍ Scribed by A. Marco; J.J. Martı́nez
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 127 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0167-8396
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✦ Synopsis
A method for finding the implicit equation of a surface given by rational parametric equations is presented. The method is based on an efficient computation of the resultant by means of classical multivariate polynomial interpolation. The used approach considerably reduces the problem of intermediate expression swell and it can easily be implemented in parallel.
📜 SIMILAR VOLUMES
Techniques from algebraic geometry and commutative algebra are adopted to establish sufficient polynomial conditions for the validity of implicitization by the method of moving quadrics both for rectangular tensor product surfaces of bi-degree (m, n) and for triangular surfaces of total degree n in
Weighted mean convergence of generalized Jacobi series is investigated, and the results are used to prove weighted mean convergence of various interpolating polynomials based on the zeros of generalized Jacobi polynomials. C 1993 Academic Press. Inc.
Weighted mean convergence of interpolating polynomials based on the zeros of generalized Jacobi polynomials is investigated. The approach is based on generalized Jacobi series and Marcinkiewicz-Zygmund type inequality. 1994 Academic Press. Inc.