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NURBS solid modeling for the three-dimensional limit analysis of curved rigid block structures
In this paper, we present a novel computational approach for the generalized three-
dimensional upper bound limit analysis of curved rigid block structures. This approach …
dimensional upper bound limit analysis of curved rigid block structures. This approach …
Singularity computation for rational parametric surfaces using moving planes
Singularity computation is a fundamental problem in Computer Graphics and Computer
Aided Geometric Design, since it is closely related to topology determination, intersection …
Aided Geometric Design, since it is closely related to topology determination, intersection …
[HTML][HTML] Survey on the theory and applications of μ-bases for rational curves and surfaces
Abstract μ-Bases are new representations for rational curves and surfaces which serve as a
bridge between their parametric forms and implicit forms. Geometrically, μ-bases are …
bridge between their parametric forms and implicit forms. Geometrically, μ-bases are …
μ-bases and singularities of rational planar curves
We provide a technique to detect the singularities of rational planar curves and to compute
the correct order of each singularity including the infinitely near singularities without …
the correct order of each singularity including the infinitely near singularities without …
Role of moving planes and moving spheres following Dupin cyclides
We provide explicit representations of three moving planes that form a μ-basis for a standard
Dupin cyclide. We also show how to compute μ-bases for Dupin cyclides in general position …
Dupin cyclide. We also show how to compute μ-bases for Dupin cyclides in general position …
Computing the singularities of rational surfaces
Given a rational projective parametrization $\mathcal {P}(\mathfrak {s},\mathfrak {t},\mathfrak
{v}) $ of a rational projective surface $\mathcal {S} $ we present an algorithm such that, with …
{v}) $ of a rational projective surface $\mathcal {S} $ we present an algorithm such that, with …
Computing μ-bases from algebraic ruled surfaces
We find a μ-basis for a rational ruled surface, starting from its implicit representation. A
parametrization for this ruled surface is then deduced form this μ-basis. This parametrization …
parametrization for this ruled surface is then deduced form this μ-basis. This parametrization …
Implicitization, parameterization and singularity computation of Steiner surfaces using moving surfaces
A Steiner surface is a quadratically parameterizable surface without base points. To make
Steiner surfaces more applicable in Computer Aided Geometric Design and Geometric …
Steiner surfaces more applicable in Computer Aided Geometric Design and Geometric …
Computing μ-Bases of Univariate Polynomial Matrices Using Polynomial Matrix Factorization
This paper extends the notion of μ-bases to arbitrary univariate polynomial matrices and
present an efficient algorithm to compute a μ-basis for a univariate polynomial matrix based …
present an efficient algorithm to compute a μ-basis for a univariate polynomial matrix based …
B-Lift curves and its ruled surfaces
In this paper, we have described the B-Lift curve in Euclidean space as a curve obtained by
combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we …
combining the endpoints of the binormal vector of a unit speed curve. Subsequently, we …