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Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-07-16
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper focuses on the orthogonal projection of rational curves onto rational parameterized surface.
Three symbolic algorithms are developed and studied.
One of them, based on regular systems, is able to compute the exact parametric loci of projection.
The one based on Gröbner basis can compute the minimal variety that contains the parametric loci.
The remaining one computes a variety that contains the parametric loci via resultant.
Examples show that our algorithms are efficient and valuable.
American Psychological Association (APA)
Gan, Zhiwang& Zhou, Meng. 2015. Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073728
Modern Language Association (MLA)
Gan, Zhiwang& Zhou, Meng. Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1073728
American Medical Association (AMA)
Gan, Zhiwang& Zhou, Meng. Symbolic Computation of the Orthogonal Projection of Rational Curves onto Rational Parameterized Surfaces. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1073728
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073728