关键词: 图像分割, 阈值化, 二维直方图斜分, 最大交叉熵

Abstract: The method of two-dimensional oblique segmentation maximum inter-class cross entropy (TOSMICE) and the method of two-dimensional maximum cross entropy linear type (TMCELT) are effective cross entropy threshoding methods. To compare their segmentation results, the equivalence about them was discussed in this paper. First the two methods were analyzed: with different names, the cardinal segmentation principles were proved alike; then the formulae were deduced to obtain a simplest formula, the equivalence of two methods was proved, and its recurring algorithm of the formula based on 2-D histogram oblique segmentation was inferred; finally the features of 2-D histogram and the algorithm were combined to get a novel recurring algorithm. The experimental results show that there are equal thresholds in the two methods and that the proposed recurring algorithm's speed is much faster than that of the current method based on 2-D oblique segmentation.

Key words: image segmentation, thresholding, two-dimensional histogram oblique segmentation, maximum cross entropy