Year: 2021
Author: Yinghui Zhang, Xiaojuan Deng, Xing Zhao, Hongwei Li
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 276–300
Abstract
A simple cutting-off strategy for the augmented Lagrangian formulation for minimising the Euler's elastica energy is introduced. It is connected to a discovered internal inconsistency of the model and helps to decouple the tricky dependence between auxiliary splitting variables, thus fixing the problem mentioned. Numerical experiments show that the method converges much faster than conventional algorithms, provides a better parameter-tuning and ensures the higher quality of image restorations.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.200520.191020
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 2 : pp. 276–300
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 25
Keywords: Euler's elastica augmented Lagrangian image denoising.