scholarly journals Shape Preserving Interpolatory Subdivision Schemes for Nonuniform Data

2002 ◽  
Vol 114 (1) ◽  
pp. 1-32 ◽  
Author(s):  
Frans Kuijt ◽  
Ruud van Damme
Keyword(s):  
Shape Preserving ◽  
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

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.

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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