Interpolatory Subdivision Schemes and Wavelets
نویسندگان
چکیده
منابع مشابه
Hermite-interpolatory subdivision schemes
Stationary interpolatory subdivision schemes for Hermite data that consist of function values and first derivatives are examined. A general class of Hermite-interpolatory subdivision schemes is proposed, and some of its basic properties are stated. The goal is to characterise and construct certain classes of nonlinear (and linear) Hermite schemes. For linear Hermite subdivision, smoothness cond...
متن کاملInterpolatory Subdivision and Wavelets on an Interval
We consider a method of adapting Dubuc-Deslauriers sudivision, which is de ̄ned for bi-in ̄nite sequences, to accommodate sequences of ̄nite length. After deriving certain useful properties of the Dubuc-Deslauriers re ̄nable function on R, we de ̄ne a multi-scale ̄nite sequence of functions on a bounded interval, which are then proved to be re ̄nable. Using this fact, the resulting adapted interpolato...
متن کاملMonotonicity preserving interpolatory subdivision schemes
A class of local nonlinear stationary subdivision schemes that interpolate equidistant data and that preserve monotonicity in the data is examined. The limit function obtained after repeated application of these schemes exists and is monotone for arbitrary monotone initial data. Next a class of rational subdivision schemes is investigated. These schemes generate limit functions that are continu...
متن کاملTernary interpolatory Subdivision Schemes Originated from splines
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, ...
متن کاملAnalysis of Hermite interpolatory subdivision schemes
The theory of matrix subdivision schemes provides tools for the analysis of general uniform stationary matrix schemes The special case of Hermite interpolatory subdivision schemes deals with re nement algorithms for the function and the derivatives values with matrix masks depending upon the re nement level i e non stationary matrix masks Here we rst show that a Hermite interpolatory subdivisio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1996
ISSN: 0021-9045
DOI: 10.1006/jath.1996.0054