Otsu’s Thresholding Method Based on Plane
Intercept Histogram and Geometric Analysis
Leyi Xiao1,
Honglin Ouyang1, and Chaodong Fan2
1College
of Electrical and Information Engineering, Hunan University, China
2Foshan
Green Intelligent Manufacturing Research Institute, Xiangtan University, China
Abstract: The Three-Dimensional (3-D) Otsu’s
method is an effective improvement on the traditional Otsu’s method. However, it
not only has high computational complexity, but also needs to improve its
anti-noise ability. This paper presents a new Otsu’s method based on 3-D
histogram. This method transforms 3-D histogram into a 1-D histogram by a plane
that is perpendicular to the main diagonal of the 3-D histogram, and designs a
new maximum variance criterion for threshold selection. In order to enhance its
anti-noise ability, a method based on geometric analysis, which can correct noise,
is used for image segmentation. Simulation experiments show that this method
has stronger anti-noise ability and less time consumption, comparing with the
conventional 3-D Otsu’s method, the recursive 3-D Otsu’s method, the 3-D Otsu’s
method with SFLA, the equivalent 3-D Otsu’s method and the improved 3-D Otsu’s
method.
Keywords: 3-D Otsu’s method, threshold selection, Otsu’s method, 3-D histogram, image segmentation.
Received October 27, 2018; accepted January 28,
2020