Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces
type: Item
instance of: scholarly article
title: Symbolic computation of the orthogonal projection of rational curves onto rational parameterized surfaces
zbMATH Open document ID: 1394.65016
DOI: 10.1155/2015/394246
author: Zhiwang Gan
author: Meng Zhou
published in: Mathematical Problems in Engineering
publication date: 2018-08-27T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6926259
Wikidata QID: Q59118465
describes a project that uses: CASA
describes a project that uses: Epsilon
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2015/394246
OpenAlex ID: W1591768780
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description: scientific article; zbMATH DE number 6926259