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Journal of Convex Analysis 27 (2020), No. 2, 697--704
Copyright Heldermann Verlag 2020

Does Deconvolution Exist?

Michel Valadier
IMAG, Université Montpellier II, Place Eugène Bataillon, 34095 Montpellier, France

Blurring of a photographic image by a wrong focus can be modeled by convolution. This paper discusses some points for the inverse operation with particular interest on the set of integers Z.

Keywords: Image deblurring, convolution, zero divisors, ill-posed problems, pixels.

MSC: 65R30, 94A08

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