Surface parametrisation without diagonalisation

Proceedings of the International Symposium on Symbolic and Algebraic Computation, ISSAC

Volumn 2006, Issue , 2006, Pages 340-344

  Van De Woestijne, Christiaan ^a  

^a GRAZ UNIVERSITY OF TECHNOLOGY   (Austria)

Author keywords

Parametrisation; Quadratic forms; Rational surfaces

Indexed keywords

ALGORITHMS; FUNCTION EVALUATION; FUNCTIONS; NONLINEAR EQUATIONS;

DIAGONALISATION; PARAMETRISATION; QUADRATIC FORMS; RATIONAL SURFACES;

SURFACE MEASUREMENT;

EID: 33748976694     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1145768.1145823     Document Type: Conference Paper

References (7)

1. J. W. S. Cassels. Rational quadratic forms. London Mathematical Society Monographs, vol. 13. Academic Press Inc., London, 1978.
2. Friedrich Eisenbrand and Günter Rote. Fast reduction of ternary quadratic forms. In Cryptography and lattices (Providence, RI, 2001), volume 2146 of Lecture Notes in Comput. Sci., pages 32-44. Springer, Berlin, 2001.
3. T. Mulders and A. Storjohann. On lattice reduction for polynomial matrices. J. Symbolic Comput., 35(4):377-401, 2003.
4. Josef Schicho. Proper parametrization of surfaces with a rational pencil. In Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation (St. Andrews), pages 292-300 (electronic), New York, 2000. ACM.
5. Denis Simon. Quadratic equations in dimensions 4, 5 and more. Preprint, 2005. URL: http: //www.math.unicaen.fr/~simon/maths/dim4.html.
6. Denis Simon. Solving quadratic equations using reduced unimodular quadratic forms. Math. Comp., 74(251):1531-1543 (electronic), 2005.
7. Joachim von zur Gathen and Jürgen Gerhard. Modern computer algebra. Cambridge University Press, Cambridge, second edition, 2003.