4. Mathematical Morphology

  1. Frank Y. Shih

Published Online: 4 AUG 2010

DOI: 10.1002/9780470590416.ch4

Image Processing and Pattern Recognition

Image Processing and Pattern Recognition

How to Cite

Shih, F. Y. (2010) Mathematical Morphology, in Image Processing and Pattern Recognition, John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9780470590416.ch4

Publication History

  1. Published Online: 4 AUG 2010
  2. Published Print: 12 APR 2010

ISBN Information

Print ISBN: 9780470404614

Online ISBN: 9780470590416



  • alternating sequential filters (ASFs);
  • binary morphology;
  • fuzzy morphological filters;
  • grayscale morphology;
  • hit-or-miss transform (HMT);
  • mathematical morphology;
  • order-statistic soft morphological (OSSM);
  • recursive morphological filters;
  • recursive order-statistic soft morphological filters;
  • regulated morphological filters


Image processing techniques have been tremendously developed during the past five decades, and among them, mathematical morphology has been continuously receiving a great deal of attention. In this chapter, we will introduce binary morphology, opening and closing, hit-or-miss transform (HMT), grayscale morphology, basic morphological algorithms, and several variations of morphological filters, including alternating sequential filters (ASFs), recursive morphological filters, soft morphological filters, order-statistic soft morphological (OSSM) filters, recursive soft morphological filters, recursive order-statistic soft morphological filters, regulated morphological filters, and fuzzy morphological filters.

Controlled Vocabulary Terms

filters; image processing; mathematical morphology