Implicit curve and surface design using smooth unit step functions

Authors:
Qingde Li;Roger Phillips
Affiliations:
University of Hull, Hull, UK;University of Hull, Hull, UK
Venue:
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Year:
2004

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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.