Smooth Spline Surfaces over Irregular Meshes
Charles Loop
Proceedings of SIGGRAPH 94, July 1994, pp. 303--310.
Abstract: An algorithm for creating smooth spline surfaces over irregular meshes is presented. The algorithm is a generalization of quadratic B-splines; that is, if a mesh is (locally) regular, the resulting surface is equivalent to a B-spline. Otherwise, the resulting surface has a degree 3 or 4 parametric polynomial representation. A construction is given for representing the surface as a collection of tangent plane continuous triangular Bézier patches. The algorithm is simple, efficient, and generates aesthetically pleasing shapes.
Keyword(s): Computer-aided geometric design, B-spline surfaces, Triangular patches, Geometric continuity, Irregular meshes, Aribitrary topology
@inproceedings{Loop:1994:SSS,
author = {Charles Loop},
title = {Smooth Spline Surfaces over Irregular Meshes},
booktitle = {Proceedings of SIGGRAPH 94},
pages = {303--310},
month = jul,
year = {1994},
}
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