AbstractA canal surface is the envelope of a one-parameter set of spheres with radiir(t) and centersm(t). It is shown that any canal surface to a rational spine curvem(t) and a rational radius functionr(t) possesses rational parametrizations. We derive algorithms for the computation of these parametrizations and put particular emphasis on low degree representations
There is reviewed the construction of a rational blending surface between cylinders and cones in som...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
AbstractA canal surface is the envelope of a one-parameter set of spheres with radiir(t) and centers...
AbstractA canal surface in R3, generated by a parametrized curveC=m(t), is the Zariski closure of th...
AbstractThe envelope of a one-parameter set of spheres with radii r(t) and centers m(t) is a canal s...
We develop a characterization for the existence of symmetries of canal surfaces defined by a rationa...
In this paper we will continue in investigating ‘contour method’ and its using for the computation o...
In this paper we will continue in investigating ‘contour method’ and its using for the computation o...
AbstractThe present paper investigates two-parameter families of spheres in R3 and their correspondi...
Given an implicit polynomial equation or a rational parametrization, we develop algorithms to determ...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
AbstractA canal surface is an envelope of a one-parameter family of spheres. In this paper we presen...
This paper focuses on the orthogonal projection of rational curves onto rational parameterized surfa...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
There is reviewed the construction of a rational blending surface between cylinders and cones in som...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
AbstractA canal surface is the envelope of a one-parameter set of spheres with radiir(t) and centers...
AbstractA canal surface in R3, generated by a parametrized curveC=m(t), is the Zariski closure of th...
AbstractThe envelope of a one-parameter set of spheres with radii r(t) and centers m(t) is a canal s...
We develop a characterization for the existence of symmetries of canal surfaces defined by a rationa...
In this paper we will continue in investigating ‘contour method’ and its using for the computation o...
In this paper we will continue in investigating ‘contour method’ and its using for the computation o...
AbstractThe present paper investigates two-parameter families of spheres in R3 and their correspondi...
Given an implicit polynomial equation or a rational parametrization, we develop algorithms to determ...
Real cubic algebraic surfaces may be described by either implicit or parametric equations. Each of t...
AbstractA canal surface is an envelope of a one-parameter family of spheres. In this paper we presen...
This paper focuses on the orthogonal projection of rational curves onto rational parameterized surfa...
AbstractThe parametrization problem asks for a parametrization of an implicitly given surface, in te...
There is reviewed the construction of a rational blending surface between cylinders and cones in som...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
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