论文信息 - A C6 approximating subdivision scheme

A C6 approximating subdivision scheme

Abstract The approximating subdivision scheme, recently developed by Shahid S. Siddiqi and Nadeem Ahmad [An approximating C 4 stationary subdivision scheme, European Journal of Scientific Research 15 (1) (2006) 97–102], is extended. It is proved that the new scheme generates C 6 curves. Its limit function has a support on [ − 6 , 5 ] . The smoothness of the new scheme is shown using the Laurent polynomial method, and the usefulness of the scheme is illustrated in the examples. The Holder exponent for the scheme is calculated. It can be observed that the method developed generates curves satisfying the variation diminishing property.

Shahid S. Siddiqi | Nadeem Ahmad

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