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| The Selection of Optimal Stopping Time Based on Synchronous Iteration of Noise and Image in Diffusion Image De-noise |
| Liu Peng①②; Liu Ding-sheng①; Li Guo-qing①; Li Jing-shan① |
| ①Center for Earth Observation and Digital Earth Chinese Academy of Science, Beijing 100086, China; ②Institute of Electronics Chinese Academy of Sciences, Beijing 100190, China |
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Abstract This paper de-noises in image by diffusion filter. And a method of finding optimal stopping time is proposed. The criterion of stopping time is that the variance of image smoothed out is bigger than the variance of noise smoothed out. In order to estimate the variance of noise in iteration correctly, a pure synthesis noise as an image is synchronously iterated with the observation image in iteration, and the variance of pure noise image is taken as the estimation of the variance of noise in estimated image. According to the anisotropy of the regularization, a novel regularization term that can ensure the synchronous changing of the synthesis noise and real noise was proposed in this article. The new regularization term is put into use only in iteration of pure noise image, and the similarity of statistical properties between real noise and synthesis noise can be kept in iteration. Experiment confirms the effectiveness of proposed method to select optimal stopping time.
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Received: 06 October 2008
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2009, Vol. 31 
