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2013 (Vol. 6, Issue: 09)
Article Information:

Ternary 4-Point Interpolating Scheme for Curve Sketching

Shahid S. Siddiqi, Nadeem Ahmad and Kashif Rehan
Corresponding Author:  Shahid S. Siddiqi 

Key words:  Convergence and smoothness, interpolating subdivision scheme, Laurent polynomial, mask, ternary, ,
Vol. 6 , (09): 1556-1561
Submitted Accepted Published
November 08, 2012 January 14, 2013 July 15, 2013

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.
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  Cite this Reference:
Shahid S. Siddiqi, Nadeem Ahmad and Kashif Rehan, 2013. Ternary 4-Point Interpolating Scheme for Curve Sketching.  Research Journal of Applied Sciences, Engineering and Technology, 6(09): 1556-1561.
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ISSN (Online):  2040-7467
ISSN (Print):   2040-7459
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