Open AccessBregman inverse filter
Author(s) -
Deng G.,
Broadbridge P.
Publication year - 2019
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2018.7408
Subject(s) - inverse filter , bregman divergence , inverse problem , inverse , filter (signal processing) , mathematics , regular polygon , inversion (geology) , convex optimization , algorithm , signal processing , mathematical optimization , computer science , computer vision , mathematical analysis , telecommunications , geometry , paleontology , radar , structural basin , biology
An inverse problem in which the observed signal is produced by passing the original signal through a filter that is derived from a convex minimisation problem is dealt. The filter is available as a black box. It is shown that the Bregman iteration, which is a tool for convex optimisation, can be used to solve this inverse problem. This novel application of the Bregman iteration is demonstrated through successful restoration of the original image from images filtered by a low‐pass filter. Theoretical analysis is conducted to explain the inversion process.