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Fractional-Order Multi-scale Variation PDE Model and Adaptive Algorithm for SAR Image Denoising
SAR图像去噪的分数阶多尺度变分PDE模型及自适应算法

Keywords: Synthetic Aperture Radar (SAR),Speckle noise removal,Fractional-order derivative,Multi-scale,Detail preserving,Staircase effect
合成孔径雷达
,相干斑噪声抑制,分数阶导数,多尺度,细节保持,阶梯效应

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Abstract:

In the processing of Synthetic Aperture Radar (SAR) image speckle noise reduction, maintaining the edges and textures of image are very important. This paper proposes a fractional-order multi-scale Partial Differential Equation (PDE) model by modeling the image with fractional-order derivative and negative Sobolev space, and then gives the adaptive selection method for the model parameters and the region-scale adaptive algorithm for SAR image denoising. Numerical experiments show that the new method can achieve better results in removing the noise, restraining the staircase effect and preserving edges and textures.

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