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A Unified Subdivision Scheme for Arcs and Circles

[+] Author Affiliations
Shanglong Wang, Kwun-Lon Ting

Tennessee Technological University, Cookeville, TN

Paper No. DETC2006-99730, pp. 83-87; 5 pages
doi:10.1115/DETC2006-99730
From:
  • ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 3: 26th Computers and Information in Engineering Conference
  • Philadelphia, Pennsylvania, USA, September 10–13, 2006
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 0-7918-4257-8 | eISBN: 0-7918-3784-X
  • Copyright © 2006 by ASME

abstract

This paper proposes a subdivision scheme that is capable of expressing arcs and circles in a consistent form. This curve scheme is based on the unified subdivision rules for cubic B-splines, splines-in-tension, and some trigonometric splines that are capable of generating circles. The most important feature of the scheme is to change the end point rule such that the end points are forced to locate on lines connecting the center to the start point as well as the end point. With the proposed scheme, generating arcs and circles also becomes much more intuitive.

Copyright © 2006 by ASME
Topics: Splines , Tension , B-splines

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