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Abstract
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Article Information:
A Univariate Symmetric C5 Subdivision Scheme
Shahid S. Siddiqi and Kashif Rehan
Corresponding Author: Shahid S. Siddiqi
Submitted: March 28, 2013
Accepted: April 22, 2013
Published: March 05, 2014 |
Abstract:
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Subdivision schemes play a vital role in Computer Aided Geometric Design these days. A new univariate symmetric ternary 6-point approximating subdivision scheme has been introduced that generates the limiting curve of C5 continuity and its limit functions has a support on (-9, 8). The Laurent polynomial method has been used to investigate the continuity of the subdivision scheme. To determine the maximum degree of smoothness of the subdivision scheme, Holder exponent of the scheme has been calculated. The behavior of the proposed subdivision scheme has been depicted through four examples.
Key words: Approximating subdivision scheme, convergence and smoothness, Laurent polynomial, mask, ternary, ,
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Abstract
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Cite this Reference:
Shahid S. Siddiqi and Kashif Rehan, . A Univariate Symmetric C5 Subdivision Scheme. Research Journal of Applied Sciences, Engineering and Technology, (9): 1765-1771.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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