Abstract
Several efficient constructions of smooth surfaces generate three-sided patches. To demonstrate that these constructions are compatible with existing software based on tensor-product patches, the particular scheme in [3] is expressed in terms of linearly-trimmed bicubic patches. Explicit formulas relating the coefficients of the patches to the vertices of an arbitrary input polyhedron are given. Four of these patches can be grouped together into a NURBS surface.
Supported by NSF National Young Investigator grant 9457806-CCR.
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© 1998 Springer-Verlag Wien
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Peters, J. (1998). Smoothing Polyhedra Using Trimmed Bicubic Patches. In: Farin, G., Bieri, H., Brunnett, G., De Rose, T. (eds) Geometric Modelling. Computing Supplement, vol 13. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6444-0_16
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DOI: https://doi.org/10.1007/978-3-7091-6444-0_16
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83207-3
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