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arXiv 1208.2655cs.CV
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数字图像的稳定分割

Stable Segmentation of Digital Image

St. Petersburg Institute for Informatics and Automation of Russian Academy of Sciences (SPIIRAS)(俄罗斯科学院圣彼得堡信息学与自动化研究所)

M. Kharinov

摘要:

本文研究了用分段常数逼近法进行图像最优分割的问题。最优性由总平方误差的最小值或由来自图像的近似的标准偏差的等效值定义。最佳近似值的定义与其获得方法无关,并且可能在不同的算法中生成。我们调查的最佳逼近的稳定性相对于一组给定的修改的理由的计算。为了获得最佳逼近的Mumford-Shuh模型进行了推广和发展,在计算部分结合了多阈值版本中的Otsu方法。所提出的解决方案是证明了分析和实验上的标准图像的例子。

英文摘要:

In the paper the optimal image segmentation by means of piecewise constant approximations is considered. The optimality is defined by a minimum value of the total squared error or by equivalent value of standard deviation of the approximation from the image. The optimal approximations are defined independently on the method of their obtaining and might be generated in different algorithms. We investigate the computation of the optimal approximation on the grounds of stability with respect to a given set of modifications. To obtain the optimal approximation the Mumford-Shuh model is generalized and developed, which in the computational part is combined with the Otsu method in multi-thresholding version. The proposed solution is proved analytically and experimentally on the example of the standard image.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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