Shape preserving $C^2$ interpolatory subdivision schemes


Kuijt, F. and Damme, R.M.J. van (1998) Shape preserving $C^2$ interpolatory subdivision schemes. [Report]

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Abstract:Stationary interpolatory subdivision schemes which preserve shape properties such as convexity or monotonicity are constructed. The schemes are rational in the data and generate limit functions that are at least $C^2$. The emphasis is on a class of six-point convexity preserving subdivision schemes that generate $C^2$ limit functions. In addition, a class of six-point monotonicity preserving schemes that also leads to $C^2$ limit functions is introduced. As the algebra is far too complicated for an analytical proof of smoothness, validation has been performed by a simple numerical methodology.
Item Type:Report
Additional information:Imported from MEMORANDA
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Metis ID: 141121