Multi-Resolution Deconvolution

J.L. Starck; A. Bijaoui

doi:10.1364/SRS.1992.TuD4

Signal Recovery and Synthesis IV
Technical Digest Series (Optica Publishing Group, 1992),
paper TuD4
•https://doi.org/10.1364/SRS.1992.TuD4

Multi-Resolution Deconvolution

J.L. Starck and A. Bijaoui

Signal Recovery and Synthesis 1992

New Orleans, Louisiana United States
14–15 April 1992
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Superresolution and Deconvolution (TuD)

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J. L. Starck and A. Bijaoui, "Multi-Resolution Deconvolution," in Signal Recovery and Synthesis IV, Technical Digest Series (Optica Publishing Group, 1992), paper TuD4.

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Abstract

The continuous wavelet transform of a function f(x) is [1]: where a (> 0) is a dilatation parameter and b is translation parameter. The transform is characterized by three main properties: i/ it is a linear transformation, ii/ it is unvariant under translations, iii/ it is unvariant under dilatations.

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