A relatively optimal rational space curve reparametrization algorithm through canonical divisors

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A relatively optimal rational space curve reparametrization algorithm through canonical divisors

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International Conference on Symbolic and Algebraic Computation archive
Proceedings of the 1997 international symposium on Symbolic and algebraic computation table of contents

Kihei, Maui, Hawaii, United States

Pages: 349 - 355

Year of Publication: 1997

ISBN:0-89791-875-4

Authors

Carlos Andradas	Departamento de Algebra, Universidad Complutense, E-28080 Madrid, Spain
Tomás Recio	Departamento de Matemáticas, Universidad de Cantabria, E-39071 Santander, Spain
J. Rafael Sendra	Departamento de Matemáticas, Universidad de Alcaki, E28871-Madrid, Spain

Sponsors

SIGSAM: ACM Special Interest Group on Symbolic and Algebraic Manipulation
SIGNUM: ACM Special Interest Group on Numerical Mathematics

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ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 3, Downloads (12 Months): 11, Citation Count: 5

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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

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	2	Cesar Alonso , Jaime Gutierrez , Tomás Recio, A rational function decomposition algorithm by near-separated polynomials, Journal of Symbolic Computation, v.19 n.6, p.527-544, June 1995 [doi>10.1006/jsco.1995.1030]
	3	Eichler M. (1966), Introduction to the theory of Algebraic Numbers and Functions. Academic Press.
	4	J. Rafael Sendra , Franz Winkler, Parametrization of algebraic curves over optimal field extensions, Journal of Symbolic Computation, v.23 n.2-3, p.191-207, Feb./March 1997 [doi>10.1006/jsco.1996.0083]
	5	Mark van Hoeij, Computing parameterizations of rational algebraic curves, Proceedings of the international symposium on Symbolic and algebraic computation, p.187-190, July 20-22, 1994, Oxford, United Kingdom [doi>10.1145/190347.190415]
	6	Mark van Hoeij, Rational parametrizations of algebraic curves using a canonical divisor, Journal of Symbolic Computation, v.23 n.2-3, p.209-227, Feb./March 1997 [doi>10.1006/jsco.1996.0084]
	7	Loos R. (1982)Generahzed Polynomial Remainder 'Sequences. In : "Computer Algebra". Ed. Buchberger- Collins-Loos. Computing Supplementum 4. Springer- Verlag.
	8	Miiuk M., Sendra J.R., Winkler F. (1993), On the Complexity of Parametrizin9 Curves. To appear in Beitr~ige zur Algebra und Geometrie.
	9	Tomás Recio , J. Rafael Sendra, Real reparametrizations of real curves, Journal of Symbolic Computation, v.23 n.2-3, p.241-254, Feb./March 1997 [doi>10.1006/jsco.1996.0086]
	10	T W Sederberg, Improperly parametrized rational curves, Computer Aided Geometric Design, v.3 n.1, p.67-75, May 1986 [doi>10.1016/0167-8396(86)90025-7]
	11	J. Rafael Sendra , Franz Winkler, Symbolic parametrization of curves, Journal of Symbolic Computation, v.12 n.6, p.607-631, Dec. 1991 [doi>10.1016/S0747-7171(08)80144-7]
	12	J. Rafael Sendra , Franz Winkler, Parametrization of algebraic curves over optimal field extensions, Journal of Symbolic Computation, v.23 n.2-3, p.191-207, Feb./March 1997 [doi>10.1006/jsco.1996.0083]
	13	Zaxiski O., Samuel P. (1960). Commutative Algebra, Vol II. Springer Verlag.

CITED BY 5

	Tomas Recio , J. Rafael Sendra , Carlos Villarino, From hypercircles to units, Proceedings of the 2004 international symposium on Symbolic and algebraic computation, p.258-265, July 04-07, 2004, Santander, Spain
	Josef Schicho, Simplification of surface parametrizations, Proceedings of the 2002 international symposium on Symbolic and algebraic computation, p.229-237, July 07-10, 2002, Lille, France
	Carlos Andradas , Taomás Recio , J. Refael Sendra, Base field restriction techniques for parametric curves, Proceedings of the 1999 international symposium on Symbolic and algebraic computation, p.17-22, July 28-31, 1999, Vancouver, British Columbia, Canada
	J. Rafael Sendra, Normal parameterizations of algebraic plane curves, Journal of Symbolic Computation, v.33 n.6, p.863-885, June 2002
	Carlos Andradas , Tomas Recio , J. Rafael Sendra , Luis Felipe Tabera, On the simplification of the coefficients of a parametrization, Journal of Symbolic Computation, v.44 n.2, p.192-210, February, 2009