Shape preservation of 4-point interpolating non-stationary subdivision scheme
| Autor: | Khalida Bibi, Shahid S. Siddiqi, Kashif Rehan, Ghazala Akram |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
business.industry
Applied Mathematics Mathematical analysis Binary number Monotonic function 010103 numerical & computational mathematics 01 natural sciences Convexity 010101 applied mathematics Computational Mathematics Scheme (mathematics) Point (geometry) Limit (mathematics) 0101 mathematics business Finite set Mathematics Subdivision |
| Zdroj: | Journal of Computational and Applied Mathematics. 319:480-492 |
| ISSN: | 0377-0427 |
| Popis: | In this paper, the shape preserving properties of the binary four-point interpolating non-stationary scheme (Beccari etal., 2007) are analyzed, which we obtain for the hyperbolic case of the scheme, when 0>1. Sufficient conditions on the original control points are developed that allow to generate positivity, monotonicity and convexity preserving curves after a finite number of subdivision steps. Moreover, the results are generalized to derive conditions for the shape preservation of the limit curves. Also the limit curves with specific shape preserving properties are depicted by significant application of derived conditions on the initial data. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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