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A approximating subdivision scheme

✍ Scribed by Shahid S. Siddiqi; Nadeem Ahmad

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
374 KB
Volume
21
Category
Article
ISSN
0893-9659

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✦ Synopsis

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 HΓΆlder exponent for the scheme is calculated. It can be observed that the method developed generates curves satisfying the variation diminishing property.

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