| 一种基于偏微分方程的图像去噪方法 |
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| 引用本文： | 徐书方,刘婧,沈立新. 一种基于偏微分方程的图像去噪方法[J]. 大连海事大学学报(自然科学版), 2010, 36(4) |
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| 作者姓名： | 徐书方 刘婧 沈立新 |
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| 作者单位： | 大连海事大学数学系,辽宁,大连,116026;大连海事大学交通运输管理学院,辽宁,大连,116026 |
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| 摘 要： | 为有效去噪,基于全变分及四阶偏微分方程图像去噪模型,提出一种图像综合去噪模型.该模型克服了全变分去噪模型带来的块效应以及四阶偏微分方程去噪模型在处理平滑区域时带来的不平坦现象.仿真结果表明,图像清晰度有了较大改善.
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| 关 键 词： | 图像去噪 偏微分方程(PDE) 全变分 中值滤波 |
An image denoising method based on partial differential equations |
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| XU Shufanga,LIU Jinga,SHEN Lixinb. An image denoising method based on partial differential equations[J]. Journal of Dalian Maritime University, 2010, 36(4) |
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| Authors: | XU Shufanga LIU Jinga SHEN Lixinb |
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| Affiliation: | XU Shufanga,LIU Jinga,SHEN Lixinb (a.Department of Mathematics,b.Transportation Management College,Dalian Maritime University,Dalian 116026,China) |
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| Abstract: | An integrated image denoising model was proposed based on total variation(TV) and the fourth-order partial differential equations(PDEs) denoising models to remove noises effectively.The model overcomes blocky effect which is inherent in the TV denoising model,while avoids the uneven phenomenon in the smooth region which is inherent in the improved fourth-order PDEs.Simulation results show that the fidelity of the image is improved a lot. |
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| Keywords: | image denoising partial differential denoising(PDE) total variation median filter |
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