Name
Abstract | ||
|---|---|---|
Rationally parameterized hypersurfaces can be classified with respect to their RC properties (Rational Convolutions) with the help of the Grobner bases theory. This classification focuses on special classes of rational parameterizations which provide a rational description of convolution hypersurfaces generally (GRC parameterizations), or just in some special cases (SRC parameterizations). The main aim of this paper is to bring the theory of the so-called PN surfaces (surfaces with Pythagorean Normal vectors) and their PN parameterizations (parameterizations fulfilling the PN condition) in relation to the theory of SRC parameterizations and to show that this type of parameterizations can be further classified with respect to the degree of the construction of convolution surfaces. The connection of SRC PN parameterizations to the well-known concepts of proper and square-root parameterizations is also investigated. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.cagd.2008.06.011 | Computer Aided Geometric Design |
Keywords | Field | DocType |
pn parameterizations,src parameterizations,14q10,offsets,convolution surfaces,grobner bases theory,13p10,68u07,so-called pn surface,rational parameterizations,proper parameterizations,src pn parameterizations,convolution hypersurfaces,square-root parameterizations,14q05,rational surface,68q40,pn surfaces,pn condition,grc parameterizations | Topology,Parameterized complexity,Parametrization,Algebra,Convolution,Computational geometry,Commutative algebra,Hypersurface,Gröbner basis,Mathematics,Normal | Journal |
Volume | Issue | ISSN |
25 | 9 | Computer Aided Geometric Design |
Citations | PageRank | References |
12 | 0.58 | 25 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miroslav LáVičKa | 1 | 158 | 11.36 |
| Bohumír Bastl | 2 | 136 | 10.49 |