An Implicitization Algorithm for Rational Surfaces with no Base Points
We present an implicitization algorithm which is free of extraneous factors if the rational parametric surface has no base points. This algorithm is based on the method of Sylvester for computing the resultant of three homogeneous polynomials in three variables. Some examples and computations illust...
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| Vydáno v: | Journal of symbolic computation Ročník 31; číslo 4; s. 357 - 365 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Ltd
01.04.2001
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| ISSN: | 0747-7171, 1095-855X |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We present an implicitization algorithm which is free of extraneous factors if the rational parametric surface has no base points. This algorithm is based on the method of Sylvester for computing the resultant of three homogeneous polynomials in three variables. Some examples and computations illustrate the efficiency and limits of this method. |
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| ISSN: | 0747-7171 1095-855X |
| DOI: | 10.1006/jsco.1999.0436 |