Characterization of gray-scale morphological granulometries

Edward R. Dougherty

doi:10.1117/12.23581

1 November 1990 Characterization of gray-scale morphological granulometries

Edward R. Dougherty

Proceedings Volume 1350, Image Algebra and Morphological Image Processing; (1990) https://doi.org/10.1117/12.23581
Event: 34th Annual International Technical Symposium on Optical and Optoelectronic Applied Science and Engineering, 1990, San Diego, CA, United States

Abstract

Use of granulometric size distributions to generate features for binary images was first studied by Matheron. Of late the method has been employed for numerous purposes including analysis of particle dispersion analysis of texture and image segmentation. Fundamental to the Matheron theory is his characterization of the most important class of granulometries the Euclidean granulometries. This characterization takes place in the context of his fundamental representation theorem for general binary tau-openings. The present paper provides a full extension of the Matheron theory of Euclidean granulometries to the gray scale.

Citation Download Citation

Edward R. Dougherty "Characterization of gray-scale morphological granulometries", Proc. SPIE 1350, Image Algebra and Morphological Image Processing, (1 November 1990); https://doi.org/10.1117/12.23581

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