Thresholding Based Image Segmentation Aided by Kleene Algebra (Special Issue on Multiple-Valued Logic and Its Applications)

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概要

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• This paper proposes a thresholding based segmentation method aided by Kleene Algebra. For a given image including some regions of interest (ROIs for short) with the coherent intensity level, assume that we can segment each ROI on applying thresholding technique. Three segmented states are then derived for every ROI: Shortage denoted by logic value 0, Correct denoted by 1 and Excess denoted by 2. The segmented states for every ROI in the image can be then expressed on a ternary logic system. Our goal is then set to find "Correct (1)" state for every ROI. First, unate function, which is a model of Kleene Algebra, based procedure is proposed. However, this method is not complete for some cases, that is, correctly segmented ratio is about 70% for three and four ROI segmentation. For the failed cases, Brzozowski (sperations, which are defined on De Morgan algebra, can accommodate to completly find all "Correct" states. Finally, we apply these procedures to segmentation problems of a human brain MR image and a foot CT image. As the result, we can find all "1" states for the ROIs, i.e., we can correctly segment the ROIs.

• 社団法人電子情報通信学会の論文
• 1999-05-25

著者

• Ishikawa Makoto

  Ishikawa Hospital

• Hata Yutaka

  Dept. Of Computer Engineering Himeji Institute Of Technology:bisc Group Cs Division University Of Ca

• KAMIURA Naotake

  Dept. of Computer Engineering, Himeji Institute of Technology

• Kamiura Naotake

  Dept. Of Computer Engineering Himeji Institute Of Technology

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