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

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 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

An Improved Four Point Interpolatory Subdivision Scheme

2013 ◽  
Vol 380-384 ◽  
pp. 1555-1557
Author(s):  
Xin Fen Zhang ◽  
Yu Zhen Liu
Keyword(s):  
Chord Length ◽  
Subdivision Scheme ◽  
Shape Preserving ◽  
Curve Interpolation ◽  
Interpolatory Polynomial ◽  
Interpolatory Subdivision

In this paper we propose a new kind of geometry driven subdivision scheme for curve interpolation. We use cubic Lagrange interpolatory polynomial to construct a new point, selecting parameters by accumulated chord length method. The new scheme is shape preserving. It can overcome the shortcoming of the initial four point subdivision scheme proposed.

A Generalized Four Point Interpolatory Subdivision Scheme for Curve Design

2012 ◽  
Vol 586 ◽  
pp. 378-383
Author(s):  
Xin Fen Zhang
Keyword(s):  
Subdivision Scheme ◽  
Curve Design ◽  
Curve Interpolation ◽  
Interpolatory Subdivision

ßIn this paper we propose a new kind of nonlinear and geometry driven subdivision scheme for curve interpolation. We introduce serval parameters in the new scheme.When the parameter ß is taken as 0, the new scheme presented in this paper regresses to the initial four point subdivision scheme, and when ß→∞ , the new scheme is convexity preserving. With proper choices of the subdßivision parameters,it can overcome the shortcoming of the initial four point subdivision scheme proposed.

Incenter subdivision scheme for curve interpolation

2010 ◽  
Vol 27 (1) ◽  
pp. 48-59 ◽  
Author(s):  
Chongyang Deng ◽  
Guozhao Wang
Keyword(s):  
Subdivision Scheme ◽  
Curve Interpolation

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
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