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Semi-stationary subdivision operators in geometric modeling *

Hongxin Zhang、Guojin Wang

2002Engineering被引 2

摘要

Based on the view of operator, a novel class of uniform subdivision construction method is proposed for free form curve and surface design. This method can give an appropriate manner of parameter change in the subdivision iteration with less parameters and better shape control, such as building local revolving surfaces. The convergent property of order 2 subdivision surface is elegantly analyzed using computing techniques of matrix. This method is promised to be much valuable in Computer Aided Design and computer graphics, due to the simplicity both in mathematical theory and practical implementation, the similarity to the B-spline curve and surface, G 1 continuity, the affine invariability and local flexible control.

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