Mohamed Hassan
An interpolating 4-point C2 ternary stationary subdivision scheme
Hassan, Mohamed; Ivrissimtzis, Ioannis; Dodgson, Neil; Sabin, Malcolm
Authors
Dr Ioannis Ivrissimtzis ioannis.ivrissimtzis@durham.ac.uk
Associate Professor
Neil Dodgson
Malcolm Sabin
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 |
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. |
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