A class of nonlinear four-point subdivision schemes
✍ Scribed by Guessab, Allal; Moncayo, María; Schmeisser, Gerhard
- Book ID
- 113060278
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 607 KB
- Volume
- 37
- Category
- Article
- ISSN
- 1019-7168
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A binary 4-point approximating subdivision scheme, presented by Siddiqi and Ahmad (2006) [9], has been improved by introducing a global tension parameter. An improved form of the scheme generates a family of C n , n = 1, 2, 3, 4 limiting curves for certain range of global tension parameter and a C 5
Linear interpolatory subdivision schemes of C r smoothness have approximation order at least r + 1. The present paper extends this result to nonlinear univariate schemes which are in proximity with linear schemes in a certain specific sense. The results apply to nonlinear subdivision schemes in Lie