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Implicit curve and surface design using smooth unit step functions

Li, Qingde; Phillips, Roger

Authors

Roger Phillips



Abstract

This paper presents an implicit curve and surface design technique that uses smooth unit step functions. With the proposed method, an implicit curve or surface can be generated by inputting a sequence of points together with the normals at these points of the curve or surface to be designed. By choosing appropriate smooth unit step functions, these curves and surfaces can be designed to any required degree of smoothness.

Start Date Jun 9, 2004
Publication Date Sep 6, 2004
Journal ACM Symposium on Solid Modeling and Applications, SM
Pages 237 - 242
Book Title SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
ISBN 3-905673-55-X
APA6 Citation Li, Q., & Phillips, R. (2004). Implicit curve and surface design using smooth unit step functions. In SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications, 237 - 242
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