Smoothing Polyhedra Using Trimmned Bicubic Patches
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چکیده
Several efficient constructions of smooth surfaces following the outlines of a polyhedral mesh are based on three-sided patches. To demonstrate that these constructions arc 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.
منابع مشابه
Smoothing Polyhedra Using Trimmed Bicubic Patches
Several efficient constructions of smooth surfaces following the outlines of a polyhedral mesh are based on three-sided patches. To demonstrate that these constructions arc 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 ver...
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تاریخ انتشار 2013