An interpolating 4-point C2 ternary stationary subdivision scheme

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

doi:10.1016/s0167-8396(01)00084-x

An interpolating 4-point C2 ternary stationary subdivision scheme

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

Authors

Mohamed Hassan

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.