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An interpolating 4-point C2 ternary stationary subdivision scheme

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


Mohamed Hassan

Neil Dodgson

Malcolm Sabin


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.


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.

Journal Article Type Article
Publication Date 2002-01
Deposit Date Feb 25, 2008
Journal Computer Aided Geometric Design
Print ISSN 0167-8396
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 19
Issue 1
Pages 1-18
Keywords Subdivision, Interpolation, Curves, Ternary.