In this work

a novel Otsu thresholding algorithm based on rebuilding and dimension reduction of the three-dimensional(3-D) was proposed with the consideration of the poor anti-noise performance in 3-D Otsu's method due to the obviously wrong region division.Firstly

our method rebuilt the 3-D histogram based on the distribution of noise points

which reduced the noise interference.And then

we transfer the region division in 3-D histogram from eight partitions into two partitions

thus reducing the search space of threshold from 3-dimension to 1-dimension

which saved a lot of processing time and memory space.Finally

segmentation result and running time were given at the end of this paper.In addition

comparations with those of 3-D Otsu's method

2-D decomposing approach and 2-D oblique algorithm were given as well.The results show that the presented method has better anti-noise performance and visual quality compared with the above three approaches

and lower time complexity compared with 3-D Otsu's method.