2015Unpublished venueRequires access

Biorthogonal wavelet vanishing moment increment technique

Mehmet Cemil Kale, Gizem Atac, Ömer Nezih Gerek

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Abstract

Among several lifting style biorthogonal wavelets, Daubechies and Sweldens wavelets provide the maximum number of vanishing moments for the shortest filter length. In this research we propose a method to increase the number of vanishing moments at the expense of incorporating an autoregressive reconstruction operator. Each additional vanishing moment increases tha analysis filter sizes by one. Ten test images are used to test the developed decomposition structures according to subsample energies. It is observed that decompositions with increased vanishing moments significantly reduces detail subspace energies.

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What this paper is about

Among several lifting style biorthogonal wavelets, Daubechies and Sweldens wavelets provide the maximum number of vanishing moments for the shortest filter length. In this research we propose a method to increase the number of vanishing moments at the expense of incorporating an autoregressive reconstruction operator. Each additional vanishing moment increases tha analysis filter sizes by one. Ten test images are used to test the developed decomposition structures according to subsample energies. It is observed that decompositions with increased vanishing moments significantly reduces detail subspace energies.

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Available abstract

Among several lifting style biorthogonal wavelets, Daubechies and Sweldens wavelets provide the maximum number of vanishing moments for the shortest filter length. In this research we propose a method to increase the number of vanishing moments at the expense of incorporating an autoregressive reconstruction operator. Each additional vanishing moment increases tha analysis filter sizes by one. Ten test images are used to test the developed decomposition structures according to subsample energies. It is observed that decompositions with increased vanishing moments significantly reduces detail subspace energies.

Key concepts: Biorthogonal system, Wavelet, Moment (physics), Mathematics, Biorthogonal wavelet, Operator (biology), Filter (signal processing), Autoregressive model

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