Filling polygonal holes with bicubic patches

Filling polygonal holes with bicubic patches

Consider a bicubic rectangular patch complex which surrounds an n-sided hole in R. Then the problem of filling the hole with n bicubic rectangular patches is studied.

Approximating catmull-clark subdivision surfaces with bicubic patches

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...

AVLSI Chip for Ray Tracing Bicubic Patches

A VLSI chip for ray tracing bicubic patches in Bezier form is explored. The purpose of the chip is to calculate the intersection point of a ray with the bicubic patch to a specified level of accuracy, returning the location of the intersection on the patch and on the ray. This is done by computing the intersection of the ray with a bounding volume of the patch and repeatedly subdividing the pat...

Smoothing Polyhedra Using Trimmned 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...