Add to ORKGIt is shown that curves and surfaces with a linear field of normal vectors are dual to graphs of univariate and bivariate polynomials. We discuss the geometric properties of these curves and surfaces. In particular, it is shown that the convolution with general rational curves and surfaces yields again rational curves and surfaces
We will deal with the translation surfaces which are the shapes generated by translating one curve a...
We provide algorithms to reconstruct rational ruled surfaces in three-dimensional projective space f...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
We investigate the computation of parametrizations of convolution surfaces of paraboloids and arbitr...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the fi...
The conchoid of a surface F with respect to given fixed point O is roughly speaking the surface obta...
We present algorithms to compute the genus and rational parametric equations, for implicitly defined...
In this paper, rational and logarithmico-rational minimal surfaces are defined and some of their pro...
AbstractWe focus on the investigation of relations between plane algebraic curves and their convolut...
We investigate the duality between local (complex analytic) projective structures on surfaces and tw...
The conchoid surface Fd of a surface F with respect to a fixed reference point O is a surface obtain...
This paper focuses on the orthogonal projection of rational curves onto rational parameterized surfa...
We will deal with the translation surfaces which are the shapes generated by translating one curve a...
We provide algorithms to reconstruct rational ruled surfaces in three-dimensional projective space f...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
We investigate the computation of parametrizations of convolution surfaces of paraboloids and arbitr...
Given the implicit equation for degree two curves (conics) and degree two surfaces (conicoids), algo...
Ruled surfaces, i.e., surfaces generated by a one-parametric set of lines, are widely used in the fi...
The conchoid of a surface F with respect to given fixed point O is roughly speaking the surface obta...
We present algorithms to compute the genus and rational parametric equations, for implicitly defined...
In this paper, rational and logarithmico-rational minimal surfaces are defined and some of their pro...
AbstractWe focus on the investigation of relations between plane algebraic curves and their convolut...
We investigate the duality between local (complex analytic) projective structures on surfaces and tw...
The conchoid surface Fd of a surface F with respect to a fixed reference point O is a surface obtain...
This paper focuses on the orthogonal projection of rational curves onto rational parameterized surfa...
We will deal with the translation surfaces which are the shapes generated by translating one curve a...
We provide algorithms to reconstruct rational ruled surfaces in three-dimensional projective space f...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...