An interpolating 4-point C2 ternary stationary subdivision scheme

Hassan, Mohamed; Ivrissimtzis, Ioannis; Dodgson, Neil; Sabin, Malcolm

Abstract

A novel 4-point ternary interpolatory subdivision scheme with a tension parameter is analyzed. It is shown that for a certain range of the tension parameter the resulting curve is C2. The role of the tension parameter is demonstrated by a few examples. There is a brief discussion of computational costs.

Citation

Hassan, M., Ivrissimtzis, I., Dodgson, N., & Sabin, M. (2002). An interpolating 4-point C2 ternary stationary subdivision scheme. Computer Aided Geometric Design, 19(1), 1-18. https://doi.org/10.1016/s0167-8396%2801%2900084-x

• Journal Article Type: Article
• Publication Date: 2002-01
• Deposit Date: Feb 25, 2008
• Journal: Computer Aided Geometric Design
• Print ISSN: 0167-8396
• Electronic ISSN: 1879-2332
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 19
• Issue: 1
• Pages: 1-18
• DOI: https://doi.org/10.1016/s0167-8396%2801%2900084-x
• Keywords: Subdivision, Interpolation, Curves, Ternary.
• Public URL: https://durham-repository.worktribe.com/output/1549906