Smooth spline surfaces over irregular meshes

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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.

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APA

Loop, C. (1994). Smooth spline surfaces over irregular meshes. In Proceedings of the 21st Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1994 (pp. 303–310). Association for Computing Machinery, Inc. https://doi.org/10.1145/192161.192238

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