Otsu’s Thresholding Method Based on Plane Intercept Histogram and Geometric Analysis

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

https://doi.org/10.34028/iajit/17/5/2
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