Abstract | ||
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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. |
Year | DOI | Venue |
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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 LáVičKa | 1 | 158 | 11.36 |
Bohumír Bastl | 2 | 136 | 10.49 |