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- Title
SET-THEORETIC GENERATORS FOR RATIONAL SPHERICAL CURVES.
- Authors
Haohao Wang; Goldman, Ron
- Abstract
We investigate rational spherical curves, rational space curves that lie on a sphere in 3-dimensions. Every rational spherical curve is related to a simpler rational space curve, which we call the generating curve of the rational space curve. We construct three special syzygies for a rational spherical curve from a μ-basis of the corresponding generating space curve, and we show how to compute settheoretic generators for a rational spherical curve from these three special syzygies. Examples are provided to illustrate our theorems and flesh out our algorithms.
- Subjects
SPHERES; SYZYGIES (Mathematics); GENERATORS (Computer programs); MATHEMATICS theorems; ALGORITHMS
- Publication
Algebras, Groups & Geometries, 2018, Vol 35, Issue 1, p29
- ISSN
0741-9937
- Publication type
Article
- DOI
10.29083/AGG.35.01.2018