The equivalence problem of parameterized surfaces with respect to linear changes of parameters is considered. Separating systems of invariants and uniqueness theorem are offered. The field of invariant differential rational functions over the constant field is described as a differentialfield by giving a finite system of generators
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
AbstractThe present paper investigates two-parameter families of spheres in R3 and their correspondi...
Abstract In this paper, we present a proper reparametrization algorithm for rational ruled surfaces....
The equivalence problem of parameterized surfaces with respect to linear changes of parameters is co...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
It is shown that curves and surfaces with a linear field of normal vectors are dual to graphs of uni...
AbstractThe main result of this paper is an upper bound for the degree of the smallest parameterizat...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Let C be a plane rational curve of degree d and p : ˜C →C be its normalization.We are interested in ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
"Reprinted from 'Proceedings of the London mathematical society' series 2, vol. 11, nos. 1140-1142, ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
Rational parameterizations of curves and surfaces are frequently used in Computer Aided Geometric De...
We propose a definition of regularity of a linear differential system with coefficients in a monomia...
The μ-basis of a rational ruled surface P(s, t) = P0(s +tP1 (s) is defined in Chen et al. (Comput. A...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
AbstractThe present paper investigates two-parameter families of spheres in R3 and their correspondi...
Abstract In this paper, we present a proper reparametrization algorithm for rational ruled surfaces....
The equivalence problem of parameterized surfaces with respect to linear changes of parameters is co...
AbstractWe discuss rational parameterizations of surfaces whose support functions are rational funct...
It is shown that curves and surfaces with a linear field of normal vectors are dual to graphs of uni...
AbstractThe main result of this paper is an upper bound for the degree of the smallest parameterizat...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Let C be a plane rational curve of degree d and p : ˜C →C be its normalization.We are interested in ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
"Reprinted from 'Proceedings of the London mathematical society' series 2, vol. 11, nos. 1140-1142, ...
It is shown that polynomial (or rational) parametric surfaces with a linear field of normal vectors ...
Rational parameterizations of curves and surfaces are frequently used in Computer Aided Geometric De...
We propose a definition of regularity of a linear differential system with coefficients in a monomia...
The μ-basis of a rational ruled surface P(s, t) = P0(s +tP1 (s) is defined in Chen et al. (Comput. A...
AbstractThe concept of a μ-basis was introduced in the case of parametrized curves in 1998 and gener...
AbstractThe present paper investigates two-parameter families of spheres in R3 and their correspondi...
Abstract In this paper, we present a proper reparametrization algorithm for rational ruled surfaces....
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