Convolution surfaces of quadratic triangular Bézier surfaces

  • Authors:
  • Martin Peternell;Boris Odehnal

  • Affiliations:
  • University of Technology Vienna, Department of Mathematics, Wiedner Hauptstrasse 8-10, Vienna, Austria;University of Technology Vienna, Department of Mathematics, Wiedner Hauptstrasse 8-10, Vienna, Austria

  • Venue:
  • Computer Aided Geometric Design
  • Year:
  • 2008

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Abstract

In the present paper we prove that the polynomial quadratic triangular Bezier surfaces are LN-surfaces. We demonstrate how to reparameterize the surfaces such that the normals obtain linear coordinate functions. The close relation to quadratic Cremona transformations is elucidated. These reparameterizations can be effectively used for the computation of convolution surfaces.