Ilias Kotsireas: "Symbolic and numeric implicitization of parametric curves, surfaces and hypersurfaces"
Ontario Research Centre for Computer Algebra, University of Western Ontario, London, Ontario, Canada
ilias@scl.csd.uwo.ca
http://www.csd.uwo.ca/~ilias

We present a new method for implicitization of parametric curves, surfaces and hypersurfaces using essentially numerical linear algebra. The method is applicable for quite general parametric representations. The method can also handle monoparametric families of parametric curves, surfaces and hypersurfaces with a small additional amount of human interaction. We illustrate the method with a number of examples. The efficiency of the method compares well with the other available methods for implicitization.

Joint work with Rob Corless, Mark Giesbrecht, Stephen Watt in the context of the SNAP project.