基于分解的三维Otsu图像分割快速算法

摘要：针对三维Otsu图像分割算法计算复杂度高，运算量大的问题，本文提出一种基于分解的三维Otsu图像分割快速算法。该算法，首先将三维Otsu分解为三个一维Otsu；然后，在分析一维Otsu的基础上，结合类间距离和类内距离，提出一种新的阈值识别函数设计算法，并给出了快速实现方法。实验结果表明，该算法不仅可以取得较好的分割效果，而且计算量较小，比三维Otsu阈值分割递推算法快1400倍左右。

Fast three-dimensional Otsu image segmentation algorithm based on decomposition

Concerning the high the computational complexity and huge calculation of the three-dimensional Otsu,a fast three-dimensional Otsu image segmentation algorithm based on decomposition was presented in this paper.Firstly,the original three-dimensional Otsu algorithm was decomposed into three one-dimensional Otsu algorithms.Then,based on the one-dimensional Otsu algorithm,a new algorithm with a new threshold recognition function was proposed,which combined between-class distance with within-class distance,and the fast realization method was also presented.The experimental results show that the proposed algorithm does not only get satisfactory segmentation result,but also improves the calculation speed,about 1 400 times the recursive algorithm for the three-dimensional Otsu method.