Rational hypersurfaces with rational convolutions

@article{Lvicka2007RationalHW,
  title={Rational hypersurfaces with rational convolutions},
  author={Miroslav L{\'a}vicka and Bohum{\'i}r Bastl},
  journal={Computer Aided Geometric Design},
  year={2007},
  volume={24},
  pages={410-426}
}
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… CONTINUE READING

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