IBM Journal of Research and Development
Gro¨bner bases: a computational approach to commutative algebra
Gro¨bner bases: a computational approach to commutative algebra
Rational curves and surfaces with rational offsets
Computer Aided Geometric Design
A Laguerre geometric approach to rational offsets
Computer Aided Geometric Design
Polynomial Algorithms in Computer Algebra
Polynomial Algorithms in Computer Algebra
Rational surfaces with linear normals and their convolutions with rational surfaces
Computer Aided Geometric Design
Computing exact rational offsets of quadratic triangular Bézier surface patches
Computer-Aided Design
On rationally supported surfaces
Computer Aided Geometric Design
PN surfaces and their convolutions with rational surfaces
Computer Aided Geometric Design
Computing Isophotes on Free-Form Surfaces Based on Support Function Approximation
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
On convolutions of algebraic curves
Journal of Symbolic Computation
Hermite interpolation by hypocycloids and epicycloids with rational offsets
Computer Aided Geometric Design
A unified Pythagorean hodograph approach to the medial axis transform and offset approximation
Journal of Computational and Applied Mathematics
Reparameterization of curves and surfaces with respect to their convolution
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
G2 hermite interpolation with curves represented by multi-valued trigonometric support functions
Proceedings of the 7th international conference on Curves and Surfaces
On a special class of polynomial surfaces with pythagorean normal vector fields
Proceedings of the 7th international conference on Curves and Surfaces
Algebraic curves of low convolution degree
Proceedings of the 7th international conference on Curves and Surfaces
Exploring hypersurfaces with offset-like convolutions
Computer Aided Geometric Design
Parameterizing rational offset canal surfaces via rational contour curves
Computer-Aided Design
Reducibility of offsets to algebraic curves
Computer Aided Geometric Design
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The aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational convolutions generally, or in some special cases. Examples of such hypersurfaces are presented and their properties are discussed. We also aim to examine links between well-known curves and surfaces (PH/PN or LN) and objects defined and explored in this article. In addition, the paper brings a proof that the convolution surfaces of non-developable quadratic Bezier surfaces and an arbitrary rational surface are always rational.