Add to ORKGThe paper describes a concept of induced rational parametrisation for curves. Parametrisations of curves are defined in terms of rational parametrisations of simpler or `primitive' curves. The technique has applications in computer graphics and geometric modeling. A range of examples is given
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
It is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if it...
AbstractIf algebraic varieties like curves or surfaces are to be manipulated by computers, it is ess...
AbstractA canal surface is the envelope of a one-parameter set of spheres with radiir(t) and centers...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
Rational parameterizations of curves and surfaces are frequently used in Computer Aided Geometric De...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
We study the rationality of each of the components of the conchoid to an irreducible algebraic affin...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
It is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if it...
AbstractIf algebraic varieties like curves or surfaces are to be manipulated by computers, it is ess...
AbstractA canal surface is the envelope of a one-parameter set of spheres with radiir(t) and centers...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
Rational parameterizations of curves and surfaces are frequently used in Computer Aided Geometric De...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
We study the rationality of each of the components of the conchoid to an irreducible algebraic affin...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
It is well known that irreducible algebraic plane curves having a singularity of maximum multiplici...
In this paper, we provide a method that allows to construct parametric curves having (or not) non-or...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
It is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if it...