Speckle Noise Removal by Energy Models with New Regularization Setting

In this paper, we introduce two novel total variation models to deal with speckle noise in ultrasound image in order to retain the fine details more effectively and to improve the speed of energy diffusion during the process. Firstly, two new convex functions are introduced as regularization term in...

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Main Authors: Bo Chen, Jinbin Zou, Weiqiang Zhang
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/3936975
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author Bo Chen
Jinbin Zou
Weiqiang Zhang
author_facet Bo Chen
Jinbin Zou
Weiqiang Zhang
author_sort Bo Chen
collection DOAJ
description In this paper, we introduce two novel total variation models to deal with speckle noise in ultrasound image in order to retain the fine details more effectively and to improve the speed of energy diffusion during the process. Firstly, two new convex functions are introduced as regularization term in the adaptive total variation model, and then, the diffusion performances of Hypersurface Total Variation (HYPTV) model and Logarithmic Total Variation (LOGTV) model are analyzed mathematically through the physical characteristics of local coordinates. We have shown that the larger positive parameter in the model is set, the greater energy diffusion speed appears to be, but it will cause the image to be too smooth that required adequate attention. Numerical experimental results show that our proposed LOGTV model for speckle noise removal is superior to traditional models, not only in visual effect but also in quantitative measures.
format Article
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institution Kabale University
issn 2314-8896
2314-8888
language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces
spelling doaj-art-231bd96bd5a54dcaa98cee2ac8ae5e9b2025-02-03T06:06:54ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/39369753936975Speckle Noise Removal by Energy Models with New Regularization SettingBo Chen0Jinbin Zou1Weiqiang Zhang2Shenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaShenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaShenzhen Key Laboratory of Advanced Machine Learning and Applications, College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, ChinaIn this paper, we introduce two novel total variation models to deal with speckle noise in ultrasound image in order to retain the fine details more effectively and to improve the speed of energy diffusion during the process. Firstly, two new convex functions are introduced as regularization term in the adaptive total variation model, and then, the diffusion performances of Hypersurface Total Variation (HYPTV) model and Logarithmic Total Variation (LOGTV) model are analyzed mathematically through the physical characteristics of local coordinates. We have shown that the larger positive parameter in the model is set, the greater energy diffusion speed appears to be, but it will cause the image to be too smooth that required adequate attention. Numerical experimental results show that our proposed LOGTV model for speckle noise removal is superior to traditional models, not only in visual effect but also in quantitative measures.http://dx.doi.org/10.1155/2020/3936975
spellingShingle Bo Chen
Jinbin Zou
Weiqiang Zhang
Speckle Noise Removal by Energy Models with New Regularization Setting
Journal of Function Spaces
title Speckle Noise Removal by Energy Models with New Regularization Setting
title_full Speckle Noise Removal by Energy Models with New Regularization Setting
title_fullStr Speckle Noise Removal by Energy Models with New Regularization Setting
title_full_unstemmed Speckle Noise Removal by Energy Models with New Regularization Setting
title_short Speckle Noise Removal by Energy Models with New Regularization Setting
title_sort speckle noise removal by energy models with new regularization setting
url http://dx.doi.org/10.1155/2020/3936975
work_keys_str_mv AT bochen specklenoiseremovalbyenergymodelswithnewregularizationsetting
AT jinbinzou specklenoiseremovalbyenergymodelswithnewregularizationsetting
AT weiqiangzhang specklenoiseremovalbyenergymodelswithnewregularizationsetting