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Arctangent entropy: a new fast threshold segmentation entropy for light colored character image on semiconductor chip surface

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Abstract

When using the Tsallis entropy method to segment light colored character images on the semiconductor chip surface, it consumes relatively long CPU time. In order to reduce the consumption of CPU time, a new threshold segmentation entropy is proposed on the basis of the Tsallis entropy, called arctangent entropy (Arctangent entropy).It introduces the arctangent operator and constructs a mathematical model that can effectively adjust the foreground entropy and background entropy. The foreground entropy and background entropy of the image are adjusted by adjusting the parameter k. Experiments show that compared with the Tsallis entropy, Kapur entropy, Renyi entropy, Minimum error threshold (MET) and Iterative threshold (IT),the CPU time consumed by the arctangent entropy is lowest. The total CPU time average consumed by the Kapur entropy is approximately 14.4 times that of the Arctangent entropy. The total CPU time average consumed by the MET is approximately 4.6 times that of the Arctangent entropy. The total CPU time average consumed by the Tsallis entropy, IT and Renyi entropy are approximately 2.7, 2.6, 2.5 times that of the Arctangent entropy, respectively. The arctangent entropy has the best segmentation effect on light colored character images.

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Acknowledgements

This work is supported by the Academic Resource Platform of Southeast University Library. The platform for calculating data is supported by the laboratory of Nanjing Institute of Technology. This work was supported by National Natural Science Foundation of China (Grant No.51705238).

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JL: Conceptualization, Investigation, Methodology, Validation, Software, Writing, Revision, Review & Editing, Visualization; Prof JS: Supervision, Project administration, Funding acquisition; FH: Software, Revision, Writing, Review, Conceptualization, Formal analysis; MD: Methodology, Formal analysis; Writing, Revision; Formal analysis; ZZ: Revision, Review, Formal analysis;

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Correspondence to Jianxun Liu or Jinfei Shi.

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Liu, J., Shi, J., Hao, F. et al. Arctangent entropy: a new fast threshold segmentation entropy for light colored character image on semiconductor chip surface. Pattern Anal Applic 25, 1075–1090 (2022). https://doi.org/10.1007/s10044-022-01079-y

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