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Abstract
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Article Information:
Ternary 4-Point Interpolating Scheme for Curve Sketching
Shahid S. Siddiqi, Nadeem Ahmad and Kashif Rehan
Corresponding Author: Shahid S. Siddiqi
Submitted: November 08, 2012
Accepted: January 14, 2013
Published: July 15, 2013 |
Abstract:
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Subdivision schemes as an alternative approach in computer graphics are very much appreciated, a new ternary 4-point interpolating subdivision scheme has been proposed that generates the smooth limiting curves of C2 continuity using a global control tension parameter. A comparison of the proposed subdivision scheme along with examples has been demonstrated with the existing schemes. Comparison established that the proposed subdivision scheme behaves better than the existing schemes for a wider range of tension parameter. The limiting curve of the scheme has been observed to be close to the control polygon.
Key words: Convergence and smoothness, interpolating subdivision scheme, Laurent polynomial, mask, ternary, ,
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Cite this Reference:
Shahid S. Siddiqi, Nadeem Ahmad and Kashif Rehan, . Ternary 4-Point Interpolating Scheme for Curve Sketching. Research Journal of Applied Sciences, Engineering and Technology, (09): 1556-1561.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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