Syzygies for translational surfaces
| dc.citation.firstpage | 73 | en_US |
| dc.citation.journalTitle | Journal of Symbolic Computation | en_US |
| dc.citation.lastpage | 93 | en_US |
| dc.citation.volumeNumber | 89 | en_US |
| dc.contributor.author | Wang, Haohao | en_US |
| dc.contributor.author | Goldman, Ron | en_US |
| dc.date.accessioned | 2018-10-31T18:20:47Z | en_US |
| dc.date.available | 2018-10-31T18:20:47Z | en_US |
| dc.date.issued | 2018 | en_US |
| dc.description.abstract | A translational surface is a rational tensor product surface generated from two rational space curves by translating one curve along the other curve. Translational surfaces are invariant under rigid motions: translating and rotating the two generating curves translates and rotates the translational surface by the same amount. We construct three special syzygies for a translational surface from a μ-basis of one of the generating space curves, and we show how to compute the implicit equation of a translational surface from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms. | en_US |
| dc.identifier.citation | Wang, Haohao and Goldman, Ron. "Syzygies for translational surfaces." <i>Journal of Symbolic Computation,</i> 89, (2018) Elsevier: 73-93. https://doi.org/10.1016/j.jsc.2017.11.004. | en_US |
| dc.identifier.doi | https://doi.org/10.1016/j.jsc.2017.11.004 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1911/103240 | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | This is an author's peer-reviewed final manuscript, as accepted by the publisher. The published article is copyrighted by Elsevier. | en_US |
| dc.subject.keyword | Translational surface | en_US |
| dc.subject.keyword | Syzygy | en_US |
| dc.subject.keyword | μ-basis | en_US |
| dc.subject.keyword | Implicit equation | en_US |
| dc.title | Syzygies for translational surfaces | en_US |
| dc.type | Journal article | en_US |
| dc.type.dcmi | Text | en_US |
| dc.type.publication | post-print | en_US |
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