Approximation of Catmull-Clark subdivision surfaces by...

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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C345S442000

Reexamination Certificate

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06950099

ABSTRACT:
A method for converting a subdivision surface, such as a Catmull-Clark subdivision surface, into a cubic Bezier surface defined by sixteen control points. The method includes (a) converting a subdivision face to Bezier control points using a conversion matrix using fifteen points and a dummy value for an unavailable sixteenth point; and (b) replacing one of the Bezier control points which corresponds to an extraordinary point on the subdivision face with the extraordinary point's limit point.

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Bartels, et al. “An Introduction to Splines For Use In Computer Graphics and Geometric Modeling.” 1987. pp. 243-245.
E. Catmull, et al. “Recursively Generated B-Spline Surfaces on Arbitrary Topological Meshes.” 1978. pp. 350-355.
Jos Stam. “Exact Evaluation of Catmull-Clark Subdivision Surfaces At Arbitrary Parameter Values.” Alias/Wavefront, Inc.

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