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• W2952989118 abstract "In this paper, we construct wavelet tight frames with n vanishing moments for Dubuc-Deslauriers 2npoint semi-regular interpolatory subdivision schemes. Our motivation for this construction is its practical use for further regularity analysis of wide classes of semi-regular subdivision. Our constructive tools are local eigenvalue convergence analysis for semi-regular Dubuc-Deslauriers subdivision, the Unitary Extension Principle and the generalization of the Oblique Extension Principle to the irregular setting by Chui, He and Stockler. This group of authors derives suitable approximation of the inverse Gramian for irregular Bspline subdivision. Our main contribution is the derivation of the appropriate approximation of the inverse Gramian for the semi-regular Dubuc-Deslauriers scaling functions ensuring n vanishing moments of the corresponding framelets." @default.
• W2952989118 created "2019-06-27" @default.
• W2952989118 creator A5018528393 @default.
• W2952989118 date "2018-07-26" @default.
• W2952989118 modified "2023-09-23" @default.
• W2952989118 title "Semi-regular Dubuc-Deslauriers wavelet tight frames." @default.
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• W2952989118 hasPublicationYear "2018" @default.
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