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July 1, 1987IEEE Transactions on Pattern Analysis and Machine Intelligence

Image Analysis Using Mathematical Morphology

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Authors

RHRobert M. HaralickThe Graduate Center, CUNYSSS. SternbergUniversität HamburgXZXinhua ZhuangQingdao University

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Overview

Methodological review demonstrates mathematical morphology operations for defect detection in industrial vision, highlighting their shape-based advantages over linear convolution.

Key Points

  • Review the core principles and operations of mathematical morphology for shape-based object and defect recognition in industrial machine vision.
  • Evaluated the mathematical formulations of binary morphology and grayscale morphology against traditional linear convolution techniques.
  • Systematically analyzed four primary morphological operators: dilation, erosion, opening, and closing, along with their algebraic interrelationships.
  • Established that morphological operators relate directly to geometric structure, providing superior shape-based feature extraction compared to signal processing convolution.
  • Characterized the algebraic dualities and complementary properties linking dilation, erosion, opening, and closing across both binary and grayscale image domains.

Cite This Study

Haralick et al. (1987) studied this question.

synapsesocial.com/papers/69f88d2ebcfc91ffbfa63854https://doi.org/10.1109/tpami.1987.4767941
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