基于非线性扩散方程的多幅图像复原方法
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TN911.73

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国家自然科学基金 , 教育部全国优秀博士学位论文作者专项基金


Multipe Images'''' Restoration Based on Nonlinear Diffusion
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    摘要:

    讨论了光学图像中同时存在噪声与模糊时的多幅图像问题.利用一种能根据边缘方向自适应选取扩散系数的各向异性扩散方程,对图像进行复原.在权函数取值上,根据影响图像复原的降质矩阵和噪声2个因素,构造了合理的权函数.考虑了成像的归一化方程,以减小不同噪声水平的影响;采用仿真方法对不同降质矩阵在相同干扰下的扰动进行估计,获得了降质矩阵的病态程度对复原效果的影响.与传统方法相比,该方法能够选择性地根据噪声和降质获得权值,正确地衡量不同图像对复原问题的贡献,改进处理结果.数值计算结果表明,新方法能获得较传统方法更好的复原图像,权值的选择与单幅图像复原的结果一致.

    Abstract:

    This paper diseusses the restoration of multiple blurred and noised images. To construct a valid smoothness constraint, the anisotropic tensor diffusion is used,which can automatically select diffusivity according to the direction of edges. To get a valid weight function,the two aspects of restoration,noise and blur,are considered. In the processing of noise,we consider the normalized equation of the imaging, which can eliminate the influence of the difference on noise level. Especially in the processing of blur,we believe that the weight of each image is relevant to the ill-condition degree of each blur matrix. so a simulation step is set up to estimate the perturbation of each Blur matrix under certain perturbation. Compared with traditional model,the new model can get right weight according to the blur and noise,which can weigh the influence of each input image,and improve the processing results. Numerical results show that the images restored by the new method are better than those restored by traditional models,and the selected weights coincide with the restoration of single image restoration results.

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谢美华,邓立新.基于非线性扩散方程的多幅图像复原方法[J].光电子激光,2007,(8):984~987

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  • 收稿日期:2006-09-18
  • 最后修改日期:2007-01-15
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