Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
The NURBS book
Parametrization of algebraic curves over optimal field extensions
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Computing rational parametrizations of canal surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Rational parametrizations of nonsingular real cubic surfaces
ACM Transactions on Graphics (TOG)
Rational parametrization of real algebraic surfaces
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Rational parametrization of surfaces
Journal of Symbolic Computation
Points on Algebraic Curves and the Parametrization Problem
Selected Papers from the International Workshop on Automated Deduction in Geometry
Factorization over finitely generated fields
SYMSAC '81 Proceedings of the fourth ACM symposium on Symbolic and algebraic computation
On the factorization of polynomials over algebraic fields
On the factorization of polynomials over algebraic fields
Rational parametrisation for degree 6 Del Pezzo surfaces using lie algebras
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Surface parametrisation without diagonalisation
Proceedings of the 2006 international symposium on Symbolic and algebraic computation
Parametrizing Del Pezzo surfaces of degree 8 using Lie algebras
Journal of Symbolic Computation
Proper real reparametrization of rational ruled surfaces
Computer Aided Geometric Design
Algorithms for Del Pezzo surfaces of degree 5 (construction, parametrization)
Journal of Symbolic Computation
Construction of rational points on elliptic curves over finite fields
ANTS'06 Proceedings of the 7th international conference on Algorithmic Number Theory
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We give an algorithm for the following problem: given a surface defined over Q, and a rational pencil on it, compute a proper parametrization with coefficients in Q.