Implicitization of High Degree Tensor Product Cagd Entities

نویسندگان

  • Maharavo Randrianarivony
  • MAHARAVO RANDRIANARIVONY
چکیده

We focus on the implicitization of parametric CAGD entities which are supposed to be of tensor product type. The presented approach is featured by its ability to treat polynomial or rational splines having a great number of control points. For B-splines, we describe a method of exactly obtaining the Fourier coefficients without using quadrature rules. As for NURBS, a preprocessing step is necessary to convert them into an easy structure. The implicitization is obtained from the convolutions of the parametric CAGD entities. To speed the computations, one can use FFT based algorithms.

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تاریخ انتشار 2009