The computation of the topological shape of a real algebraic plane curve is usually driven by the study of the behavior of the curve around its critical points (which includes also the singular… (More)

We discuss rational parameterizations of surfaces whose support functions are rational functions of the coordinates specifying the normal vector and of a given non-degenerate quadratic form. The… (More)

In Computer Algebra, Subresultant Theory provides a powerful method to construct algorithms solving problems for polynomials in one variable in an optimal way. For instance, using this method, we can… (More)

In this paper a new algorithm for computing the intersection of two rational ruled surfaces, given in parametric/parametric or implicit/parametric form, is presented. This problem can be considered… (More)

This paper is devoted to present a new algorithm to compute the implicit equation of a parametric plane curve and several classes of parametric surfaces in the three dimensional euclidean space. This… (More)

Minors of Bezout matrices, subresultants and the parameterization of the degree of the polynomial greatest common divisor J. Abdeljaoued a , G. M. Diaz-Toca b & L. Gonzalez-Vega c a Ecole Supérieure… (More)

We introduce a unifying formulation of a number of related problems which can all be solved using a contour integral formula. Each of these problems requires finding a non-trivial linear combination… (More)