Proving convexity preserving properties of interpolatory subdivision schemes through reconstruction operators

2013 ◽  
Vol 219 (14) ◽  
pp. 7413-7421 ◽  
Author(s):  
S. Amat ◽  
R. Donat ◽  
J.C. Trillo
Keyword(s):  
Subdivision Schemes ◽  
Interpolatory Subdivision

scholarly journals TERNARY INTERPOLATORY SUBDIVISION SCHEMES ORIGINATED FROM SPLINES

2011 ◽  
Vol 09 (04) ◽  
pp. 611-633 ◽  
Author(s):  
AMIR Z. AVERBUCH ◽  
VALERY A. ZHELUDEV ◽  
GARY B. FATAKHOV ◽  
EDUARD H. YAKUBOV
Keyword(s):  
Arbitrary Order ◽  
Rational Points ◽  
Fast Computation ◽  
Subdivision Schemes ◽  
Rational Symbols ◽  
Interpolatory Subdivision

A generic technique for construction of ternary interpolatory subdivision schemes, which is based on polynomial and discrete splines, is presented. These schemes have rational symbols. The symbols are explicitly presented in the paper. This is accompanied by a detailed description of the design of the refinement masks and by algorithms that verify the convergence of these schemes. In addition, the smoothness of the limit functions is investigated. The ternary subdivision schemes, whose construction is based on continuous splines, become tools for fast computation ofıory s of arbitrary order at triadic rational points.

Multidimensional Interpolatory Subdivision Schemes

1997 ◽  
Vol 34 (6) ◽  
pp. 2357-2381 ◽  
Author(s):  
Sherman D. Riemenschneider ◽  
Zuowei Shen
Keyword(s):  
Subdivision Schemes ◽  
Interpolatory Subdivision

scholarly journals Fourier analysis of 2-point hermite interpolatory subdivision schemes

2001 ◽  
Vol 7 (5) ◽  
pp. 537-552 ◽  
Author(s):  
Serge Dubuc ◽  
Daniel Lemire ◽  
Jean-Louis Merrien
Keyword(s):  
Fourier Analysis ◽  
Subdivision Schemes ◽  
Interpolatory Subdivision

Analysis of some bivariate non-linear interpolatory subdivision schemes

2008 ◽  
Vol 48 (1-3) ◽  
pp. 261-278 ◽  
Author(s):  
Karine Dadourian ◽  
Jacques Liandrat
Keyword(s):  
Subdivision Schemes ◽  
Non Linear ◽  
Interpolatory Subdivision
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