多通道SAR图像滤波的向量总变分模型
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国防科大 理学院 数学与系统科学系,国防科大 理学院 数学与系统科学系,国防科大 理学院 数学与系统科学系

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国家自然科学基金(批准号:61072142,60802079);博士后科学基金(批准号:20080440218,20080441289)


Vectorial total variation model for multi-channel SAR image denoising
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Dept. of Mathematics and Systems Science, Science College, National University of Defense Technology,Dept. of Mathematics and Systems Science, Science College, National University of Defense Technology,Dept. of Mathematics and Systems Science, Science College, National University of Defense Technology

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    摘要:

    研究多通道SAR图像滤波的向量总变分模型与算法.通过引入向量总变分模型,设计了模型快速求解的不动点迭代算法,证明了迭代算法的收敛性.通过改进不动点算法迭代过程中滤波系数的构造方法,建立了保分辨率的多通道SAR图像的自适应向量总变分模型,给出了相应的迭代求解算法和收敛定理.通过处理RADARSAT-2多极化、多时相图像分析了本文模型的滤波性能和分辨率保持性能,并验证了本文迭代算法的收敛性和快速收敛速度.

    Abstract:

    The vectorial total variation model and algorithm are studied for multi-channel SAR image denoising. After introducing the vectorial total variation model, an accelerative fix-point iterative algorithm was proposed and its convergence was proved. By improving the filter coefficient of the fix-point iterative process, an adaptive vectorial total variation model was developed for multi-channel SAR image denoising, whose iterative algorithm and convergence theorem were present. The performance of denoising and resolution preservation of our models was tested by multi-polarimetric, multi-temporal RADARSAT-2 images, in addition to the validation of the convergence and the convergent speed of the proposed algorithms.

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李文屏,王正明,谢美华.多通道SAR图像滤波的向量总变分模型[J].红外与毫米波学报,2012,31(1):61~66]. LI Wen-Ping, WANG Zheng-Ming, XIE Mei-Hua. Vectorial total variation model for multi-channel SAR image denoising[J]. J. Infrared Millim. Waves,2012,31(1):61~66.]

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  • 收稿日期:2010-11-03
  • 最后修改日期:2010-12-02
  • 录用日期:2010-12-03
  • 在线发布日期: 2012-02-28
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