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A Linear Shift Invariant Multiscale Transform

1998/10/02 by Andreas Siebert
Computer Science · #cs.CV

paper · pdf

published as Proceedings 1998 International Conference on Image Processing, Chicago, 4-7 October 1998 · 4 pages, 5 figures

arxiv created 1998/10/02 · arxiv updated 2009/11/30

Abstract

This paper presents a multiscale decomposition algorithm. Unlike standard wavelet transforms, the proposed operator is both linear and shift invariant. The central idea is to obtain shift invariance by averaging the aligned wavelet transform projections over all circular shifts of the signal. It is shown how the same transform can be obtained by a linear filter bank.

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