Approximate Rational Parameterization of Implicitly Defined Surfaces

نویسندگان

  • Elmar Wurm
  • Bert Jüttler
  • Myung-Soo Kim
چکیده

We present a method for approximate rational parameterization of algebraic surfaces of arbitrary degree and genus (or more general implicitly defined surfaces), based on numerical optimization techniques. The method computes patches of maximal size on these surfaces subject to certain quality constraints. It can be used to generate local low degree approximations and rational approximations of non-parameterisable surfaces.

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تاریخ انتشار 2005