| 一种基于分数阶变分的乘性噪声图像去噪模型 |
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| 引用本文： | 王田芳,李浩,Asmat Ullah,周弈. 一种基于分数阶变分的乘性噪声图像去噪模型[J]. 测绘工程, 2016, 25(5): 20-24,31. DOI: 10.3969/j.issn.1006-7949.2016.05.005 |
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| 作者姓名： | 王田芳 李浩 Asmat Ullah 周弈 |
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| 作者单位： | 河海大学 地球科学与工程学院,江苏 南京,210098;河海大学 力学与材料学院,江苏 南京,210098 |
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| 基金项目： | 国土资源部地质信息技术重点实验室开放课题(20141526);江苏省高校优势学科建设工程资助项目(PAPD) |
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| 摘 要： | 经典变分模型在去除乘性噪声的同时会产生纹理细节信息丢失现象。为解决这一问题,将分数阶变分模型与经典的TV模型相结合提出一种新的分数阶变分去噪模型,并利用梯度下降法求解该模型,数值实验表明:该模型较经典的去噪模型在去噪的同时可很好地保持图像边缘和纹理信息,同时对阶梯效应也有所抑制。
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| 关 键 词： | 分数阶变分 乘性噪声 阶梯效应 边缘保持 纹理细节 |
A multiplicative fractional-order variation based on noise removal model |
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| WANG Tianfang,LI Hao,ASMAT ULLAH,ZHOU Yi. A multiplicative fractional-order variation based on noise removal model[J]. Engineering of Surveying and Mapping, 2016, 25(5): 20-24,31. DOI: 10.3969/j.issn.1006-7949.2016.05.005 |
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| Authors: | WANG Tianfang LI Hao ASMAT ULLAH ZHOU Yi |
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| Affiliation: | WANG Tianfang;LI Hao;ASMAT ULLAH;ZHOU Yi;College of Earth Science and Engineering,Hohai University;College of Mechanics and Materials,Hohai University; |
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| Abstract: | A new fraction‐order variational model combined with TV model is proposed to solve the problem that the staircase effect and lossing texture details based on the classical variational models for multiplicative noise removal .By using the gradient descent method to solve it ,the numerical experimental results show that the proposed model can not only remove noise effectively but also preserve edges ,keep the texture and other details as well .At the same time ,the staircase effect can be suppressed and the signal‐to‐noise ratio of the image can be improved . |
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| Keywords: | fraction-order variation multiplicative noise staircase effect edge preserving texture information |
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