Rational hypersurfaces with rational convolutions
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. (C) 2007 Elsevier B.V. All rights reserved.
rational curves and surfaces convolution hypersurfaces offsets grc hypersurfaces quadratic triangular bezier surfaces