Title
Rational hypersurfaces with rational convolutions
Abstract
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.
Year
DOI
Venue
2007
10.1016/j.cagd.2007.04.006
Computer Aided Geometric Design
Keywords
Field
DocType
quadratic triangular bézier surfaces,convolution surface,special case,rational curves and surfaces,14q10,rational hypersurfaces,grc hypersurfaces,offsets,convolution hypersurfaces,13p10,68u07,arbitrary rational surface,rational convolution,parametrized hypersurfaces,well-known curve,14q05,68q40
Parametric surface,Topology,Developable surface,Algebra,Convolution,Commutative algebra,Quadratic equation,Rational surface,Bézier curve,Hypersurface,Mathematics
Journal
Volume
Issue
ISSN
24
7
Computer Aided Geometric Design
Citations 
PageRank 
References 
19
0.76
6
Authors
2
Name
Order
Citations
PageRank
Miroslav LáVičKa115811.36
Bohumír Bastl213610.49