Equations of Parametric Surfaces with Base Points via Syzygies

Suppose $S$ is a parametrized surface in complex projective 3-space $mathbf{P}^3$ given as the image of $phi: mathbf{P}^1 imes mathbf{P}^1 o mathbf{P}^3$. The implicitization problem is to compute an implicit equation $F=0$ of $S$ using the parametrization $phi$. An algorithm using syzygies exists f...

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Bibliographic Details
Main Author: Wang, Haohao
Other Authors: Leszek Czarnecki
Format: Others
Language:en
Published: LSU 2003
Subjects:
Online Access:http://etd.lsu.edu/docs/available/etd-0515103-151156/