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arXiv · 1511.09442

Non-local image deconvolution by Cauchy sequence

Jack Dyson·Gianni Albertini
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Abstract

We present the deconvolution between two smooth function vectors as a Cauchy sequence of weight functions. From this we develop a Taylor series expansion of the convolution problem that leads to a non-local approximation for the deconvolution in terms of continuous function spaces. Optimisation of this form against a given measure of error produces a theoretically more exact algorithm. The discretization of this formulation provides a deconvolution iteration that deconvolves images quicker than the Richardson-Lucy algorithm.

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Jack Dyson, Gianni Albertini. 2015-11-23. Non-local image deconvolution by Cauchy sequence. https://arxiv.org/abs/1511.09442

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