Rational hypersurfaces with rational convolutions

نویسندگان

  • Miroslav Lávicka
  • Bohumír Bastl
چکیده

The aim of this article is to focus on the investigation of such rationally parametrized hypersurfaces which admit rational convolution (RC) 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 general objects defined and explored in this article. In addition, the paper brings a proof that the convolution surfaces of quadratic Bézier surfaces and arbitrary rational surface are always rational.

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عنوان ژورنال:
  • Computer Aided Geometric Design

دوره 24  شماره 

صفحات  -

تاریخ انتشار 2007