Vector multivariate subdivision schemes: Comparison of spectral methods for their regularity analysis
نویسندگان
چکیده
منابع مشابه
Regularity of Non-Stationary Multivariate Subdivision
In this paper, we study scalar multivariate non-stationary subdivision schemes with integer dilation matrixM = mI, m ≥ 2, and present a general approach for checking their convergence and for determining their Hölder regularity. The combination of the concepts of asymptotic similarity and approximate sum rules allows us to link stationary and nonstationary settings and to employ recent advances...
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We study convergent scalar d-variate subdivision schemes satisfying sum rules of order k ∈ N, with dilation matrix 2I . Using the results of Möller and Sauer in [18], stated for general expanding dilation matrices, we characterize the structure of the mask symbols of such schemes by showing that they must be linear combinations of shifted box spline generators of a quotient polynomial ideal J ....
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Vector subdivision schemes and multiple wavelets
We consider solutions of a system of refinement equations written in the form φ = ∑ α∈Z a(α)φ(2 · −α), where the vector of functions φ = (φ1, . . . , φr)T is in (Lp(R)) and a is a finitely supported sequence of r × r matrices called the refinement mask. Associated with the mask a is a linear operator Qa defined on (Lp(R)) by Qaf := ∑ α∈Z a(α)f(2 · −α). This paper is concerned with the convergen...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2012
ISSN: 1063-5203
DOI: 10.1016/j.acha.2011.03.005