New algorithms for evaluation parametric surface

摘要

Through generalization of mathematical model of surface lofting program in the CONSURF system, the definitions for two generalized Ball surfaces and their recursive algorithms are give. Furthermore, the conversion al- gorithms from Bezier surface to these two generalized Ball surfaces are presented. On the basis of these algorithms, two more efficient algorithms for evaluating parametric surfaces are also derived. One uses generalized Ball forms directly for evaluating surface, and the other converts the given Bezier surface to a generalized Ball surface firstly, and then evalu- ates the surface.