Name
Abstract | ||
|---|---|---|
Given two parametric planar curves or surfaces we find their new parameterizations (which we call coherent) permitting to compute their convolution by simply adding the points with the same parameter values. Several approaches based on rational reparameterization of one or both input objects or direct computation of new parameterizations are shown. Using the Gröbner basis theory we decide the simplest possible way for obtaining coherent parametrizations. We also show that coherent parameterizations exist whenever the convolution hypersurface is rational. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/978-3-642-11620-9_19 | MMCS |
Keywords | Field | DocType |
parameter value,direct computation,bner basis theory,rational reparameterization,coherent parametrizations,coherent parameterizations,new parameterizations,convolution hypersurface,parametric planar curve,input object | Applied mathematics,Discrete mathematics,Support function,Convolution,Geometric design,Parametric statistics,Hypersurface,Gröbner basis,Hermite interpolation,Mathematics,Computation | Conference |
Volume | ISSN | ISBN |
5862 | 0302-9743 | 3-642-11619-1 |
Citations | PageRank | References |
10 | 0.55 | 21 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Miroslav LáVičKa | 1 | 158 | 11.36 |
| Bohumír Bastl | 2 | 136 | 10.49 |
| Zbyněk Šír | 3 | 29 | 1.72 |