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A 4-point interpolatory subdivision scheme for curve design |
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| Authors: | Nira Dyn David Levin John A. Gregory |
| Affiliation: | a School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv 69978, Israel b Department of Mathematics, Brunel University, Uxbridge, Middlesex UB8 3PH, UK |
| Abstract: | A 4-point interpolatory subdivision scheme with a tension parameter is analysed. It is shown that for a certain range of the tension parameter the resulting curve is C1. The role of the tension parameter is demonstrated by a few examples. The application to surfaces and some further potential generalizations are discussed. |
| Keywords: | Subdivision interpolation curves surfaces point insertion |
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