Solution of morphological operator relations with invariance boundary conditions

Edward R. Dougherty

doi:10.1117/12.146675

23 June 1993 Solution of morphological operator relations with invariance boundary conditions

Edward R. Dougherty

Proceedings Volume 2030, Image Algebra and Morphological Image Processing IV; (1993) https://doi.org/10.1117/12.146675
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

Abstract

The present paper formulates increasing, translation-invariant filter design for the subtractive-noise restoration problem in terms of the classical boundary-value-problem paradigm. The boundary-value problem involves both operator relations and invariant (fixed-point) boundary conditions. A design approach is formulated that derives the morphological basis expansion directly from the statement of the boundary-value problem. Solutions are found that possess both minimal bases and minimal structuring elements.

Citation Download Citation

Edward R. Dougherty "Solution of morphological operator relations with invariance boundary conditions", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); https://doi.org/10.1117/12.146675

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