A Linear Shift Invariant Multiscale Transform

Details A Linear Shift Invariant Multiscale Transform A Linear Shift Invariant Multiscale Transform

1998-10-02

arxiv.org/abs/cs/9810003v1

Proceedings 1998 International Conference on Image Processing, Chicago, 4-7 October 1998

Computer Science

Computer Vision and Pattern Recognition

4 pages, 5 figures

Scientific paper

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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