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Analytic Definition of Curves and Surfaces by Parabolic Blending

03/22/2005

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by A. W. Overhauser, et al.

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A procedure for interpolating between specified points of a curve or surface is described. The method guarantees slope continuity at all junctions. A surface panel divided into p x q contiguous patches is completely specified by the coordinates of (p+1) x (q+1) points. Each individual patch, however, depends parametrically on the coordinates of 16 points, allowing shape flexibility and global conformity.

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