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pro vyhledávání: '"S. Siddiqi"'
Autor:
Kashif Rehan, Shahid S. Siddiqi
Publikováno v:
Applied Mathematics and Computation. 270:114-123
A family of ternary 3-point subdivision schemes is introduced and has a degree of smoothness C1 continuity. A family of ternary 4-point subdivision schemes is derived and has degrees of smoothness C1 and C2 continuities. Also a ternary 4-point approx
Autor:
Kashif Rehan, Shahid S. Siddiqi
Publikováno v:
Applied Mathematics and Computation. 249:444-452
Ternary 2N-point Lagrange subdivision schemes with a tension parameter are analyzed. It is shown that the resulting curves are C 3 , C 4 and C 5 continuous for the values of N =2, 3 and 4 respectively. The role of the tension parameter in subdivision
Publikováno v:
Research Journal of Applied Sciences, Engineering and Technology. 7:1765-1771
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 C 5 continuity and its limit fun
Publikováno v:
Research Journal of Applied Sciences, Engineering and Technology. 6:1556-1561
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 C 2 continuity using a global control
Autor:
Muhammad Younis, Shahid S. Siddiqi
Publikováno v:
American Journal of Computational Mathematics. :6-10
In this article, the objective is to introduce an algorithm to produce the quaternary m-point (for any integer m>1) approximating subdivision schemes, which have smaller support and higher smoothness, comparing to binary and ternary schemes. The prop
Autor:
Kashif Rehan, Shahid S. Siddiqi
Publikováno v:
International Journal of Computer Mathematics. 88:851-863
A new binary four-point approximating subdivision scheme has been presented that generates the limiting curve of C1 continuity. A global tension parameter has been introduced to improve the performance of the binary four-point approximating subdivisi
Autor:
Kashif Rehan, Shahid S. Siddiqi
Publikováno v:
International Journal of Computer Mathematics. 87:1709-1715
In this paper, a stationary ternary three-point approximating subdivision scheme is presented, which generates C2 limiting curve and its limiting function has a support on [-3, 2]. The analysis of the scheme is shown using the Laurent polynomial meth
Autor:
Nadeem Ahmad, Shahid S. Siddiqi
Publikováno v:
Applied Mathematics Letters. 21:722-728
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 ne
Autor:
Nadeem Ahmad, Shahid S. Siddiqi
Publikováno v:
International Journal of Computer Mathematics. 85:65-72
In this paper a new five-point approximating subdivision scheme is presented, generating the C4 curves, which is the extension of the four-point approximating subdivision scheme developed by Siddiqi and Ahmad. The limit function of the new five-point
Autor:
Muhammad Younis, Shahid S. Siddiqi
Publikováno v:
Open Engineering, Vol 4, Iss 4, Pp 371-378 (2014)
In this paper, an algorithm has been introduced to produce ternary 2m-point (for any integer m ≥ 1) approximating non-stationary subdivision schemes which can generate the linear spaces spanned by {1; cos(α.); sin(α.)}. The theory of asymptotic e