A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials-Reference-Cited by-同舟云学术

A non-linear structure-preserving matrix method for the computation of the coefficients of an approximate greatest common divisor of two Bernstein polynomials

Published:2017-08 Issue: Volume:320 Page:221-241
ISSN:0377-0427
Container-title:Journal of Computational and Applied Mathematics
language:en
Short-container-title:Journal of Computational and Applied Mathematics

Author:

Bourne Martin,Winkler Joab R.,Su Yi

Funder

The Agency for Science, Technology and Research

The University of Sheffield

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference26 articles.

1. The Complexity of Robot Motion Planning;Canny,1988

2. Three-Dimensional Computer Vision: A Geometric Viewpoint;Faugeras,1993

3. Implicitizing rational surfaces using moving quadrics constructed from moving planes;Lai;J. Symbolic Comput.,2016

4. The Viro method for construction of Bernstein-Bézier algebraic hypersurfaces;Lai;Sci. China Math.,2012

5. The Viro method for construction of piecewise algebraic hypersurfaces;Lai;Abstr. Appl. Anal.,2013

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