Given a parametric polynomial representation of an algebraic Hypersurface S in the projective space we give a new algorithm for finding the implicit cartesian equation of S. The algorithm is based on finding a suitable finite number of points on S and computing, bylinear algebra, the equation of the hypersurface of least degree that passes through the points. In particular the algorithm works for plane curves and surfaces in the ordinary three-dimensional space. Using C++ the algorithm has been implemented on an intel Pentium running Linux. Since our algorithm is based only on computations of linear algebra it reveals very efficient if compared with others that do not use linear algebra for the computations
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
In this paper, we present a new algorithm for computing the implicit equation of a rational surface ...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
Given a parametric polynomial representation of an algebraic Hypersurface S in the projective space ...
AbstractThis paper is devoted to present new algorithms computing the implicit equation of a paramet...
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a p...
Abstract. We present a new method for implicitization of paramet-ric curves, surfaces and hypersurfa...
Given a parametric representation of an algebraic projective surface $S$ of the ordinary space we gi...
Given a parametric representation of an algebraic projective surface $S$ of the ordinary space we gi...
AbstractWe reconduct the computation of the equations defining a union V of parametric varieties, up...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
AbstractThis paper presents a simple method for converting rational parametric equations of curves a...
In many applications we need to compute the implicit representation of rational parametric surfaces....
AbstractA generalized projective implicitization theorem is presented that can be used to solve the ...
AbstractIn this article we analyze the implicitization problem of the image of a rational map ϕ:X⇢Pn...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
In this paper, we present a new algorithm for computing the implicit equation of a rational surface ...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
Given a parametric polynomial representation of an algebraic Hypersurface S in the projective space ...
AbstractThis paper is devoted to present new algorithms computing the implicit equation of a paramet...
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a p...
Abstract. We present a new method for implicitization of paramet-ric curves, surfaces and hypersurfa...
Given a parametric representation of an algebraic projective surface $S$ of the ordinary space we gi...
Given a parametric representation of an algebraic projective surface $S$ of the ordinary space we gi...
AbstractWe reconduct the computation of the equations defining a union V of parametric varieties, up...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
AbstractThis paper presents a simple method for converting rational parametric equations of curves a...
In many applications we need to compute the implicit representation of rational parametric surfaces....
AbstractA generalized projective implicitization theorem is presented that can be used to solve the ...
AbstractIn this article we analyze the implicitization problem of the image of a rational map ϕ:X⇢Pn...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...
In this paper, we present a new algorithm for computing the implicit equation of a rational surface ...
We reduce implicitization of rational planar parametric curves and (hyper)surfaces to linear algebra...