scholarly journals Shape preservation of 4-point interpolating non-stationary subdivision scheme

2017 ◽  
Vol 319 ◽  
pp. 480-492 ◽  
Author(s):  
Ghazala Akram ◽  
Khalida Bibi ◽  
Kashif Rehan ◽  
Shahid S. Siddiqi
Keyword(s):  
Shape Preservation ◽  
Subdivision Scheme ◽  
Stationary Subdivision

scholarly journals Shape-Preservation of the Four-Point Ternary Interpolating Non-stationary Subdivision Scheme

2020 ◽  
Vol 7 ◽  
Author(s):  
Pakeeza Ashraf ◽  
Mehak Sabir ◽  
Abdul Ghaffar ◽  
Kottakkaran Sooppy Nisar ◽  
Ilyas Khan
Keyword(s):  
Shape Preservation ◽  
Subdivision Scheme ◽  
Stationary Subdivision

An interpolating 4-point C2 ternary stationary subdivision scheme

2002 ◽  
Vol 19 (1) ◽  
pp. 1-18 ◽  
Author(s):  
M.F Hassan ◽  
I.P. Ivrissimitzis ◽  
N.A. Dodgson ◽  
M.A. Sabin
Keyword(s):  
Subdivision Scheme ◽  
Stationary Subdivision

scholarly journals A non-stationary subdivision scheme for curve interpolation

2008 ◽  
Vol 44 ◽  
pp. 216 ◽  
Author(s):  
M. K. Jena ◽  
P. Shunmugaraj ◽  
P. C. Das
Keyword(s):  
Subdivision Scheme ◽  
Curve Interpolation ◽  
Stationary Subdivision

An approximating non-stationary subdivision scheme

2009 ◽  
Vol 26 (7) ◽  
pp. 810-821 ◽  
Author(s):  
Sunita Daniel ◽  
P. Shunmugaraj
Keyword(s):  
Subdivision Scheme ◽  
Stationary Subdivision

scholarly journals Shape Preservation of Tension Controlled Ternary 4-point Non-Stationary Interpolating Subdivision Scheme

2018 ◽  
Author(s):  
Khurram Pervez ◽  
Syed Hussain Shah
Keyword(s):  
Shape Preservation ◽  
Subdivision Scheme ◽  
Control Points ◽  
Shape Preserving ◽  
Subdivision Schemes ◽  
Tension Parameter ◽  
Initial Control ◽  
Shape Preserving Properties ◽  
Limiting Case

The aim of this work is to analyze and investigate the shape preserving properties of ternary 4-point non-stationary interpolating subdivision schemes constructed by Beccari et al. [1] with a tension parameter !k+1 which can reproducing exponential. Moreover, the conditions on the initial control points are developed that allow user to generate shape preserving limit curves after a nite number of subdivision steps and generalize these results in limiting case. Signicance of derived conditions are illustrated through graphs and the whole discussion is followed by examples.

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