Implicit curve and surface design using smooth unit step functions

Li, Qingde; Phillips, Roger

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.

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)

• Conference Name: ACM Symposium on Solid and Physical Modeling
• Conference Location: Genoa, Italy
• Start Date: Jun 9, 2004
• End Date: Jun 11, 2004
• Acceptance Date: Dec 31, 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
• Public URL: https://hull-repository.worktribe.com/output/423866