Abstract:
In the present paper we prove that the polynomial quadratic triangular Bézier 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.
Bibtex:
@article{peternell-2008-cqbt,
author = {M. Peternell and B. Odehnal},
title = "{C}onvolution surfaces of quadratic triangular Bezier surfaces",
journal = {Comput. Aided Geom. Design},
year = {2008},
volume={25},
pages = "116-129",
url = "http://www.geometrie.tuwien.ac.at/peternell/peternell_odehnal_rev2.pdf",
}
}
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