Generating Bézier points for curves and surfaces from boundary information
Computer-Aided Design(1995)
Abstract
This paper presents efficient methods for directly generating Bézier points of curves and surfaces explicitly from the given compatible arbitrary order boundary information of Hermite curves, Coons-Hermite Cartesian sum patches and Coons-Boolean sum patches. The explicit expressions for the generalized Hermite functions are also developed. Furthermore, a method for determining the twist control points and higher level sets of interior control points from their boundary and lower level sets of control points by using the Coons-Boolean sum schema presented. Many interesting and useful examples are also given in this paper.
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Key words
product data exchange,change of basis,Bézier curves,Bézier patches,Hermite curves,Coons-Hermite Cartesian sum patches,Coons-Boolean sum patches
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