Design of morphological operators based on selective morphology

Yury V. Visilter

doi:10.1117/12.467983

22 May 2002 Design of morphological operators based on selective morphology

Yury V. Visilter

Proceedings Volume 4667, Image Processing: Algorithms and Systems; (2002) https://doi.org/10.1117/12.467983
Event: Electronic Imaging, 2002, San Jose, California, United States

Abstract

The most famous morphological filters are the morphological opening and closing, produced by superposition of morphological dilation and erosion implemented as Minkovsky addition and subtraction with structuring elements. And in practice the modern image processing uses no other morphological filters. However, it is possible to design some other and different morphological filters satisfying the Serra's definition of morphological filter and having some useful and meaningful properties. In the previous work the new 'selective morphology' (SM) was proposed based on 'monotonization' technique. SM allows designing special morphological operators different from operators of classic MM Serra. This paper describes the further results of this approach: It is proved, that the classic and selective morphological filters are corresponding bottom and top bounds for any other morphological filters of some kind. The required and enough conditions are determined those guarantee operators designed by 'monotonization' scheme to be morphological filters in Serra's sense. The new constructive scheme is proposed that makes it possible to design a wide range of alternative morphological filters between classic and selective morphological operators. Some examples of morphological filters design based on selective morphology are given. In particular, the morphological filter based on Hough Transform is described.

Citation Download Citation

Yury V. Visilter "Design of morphological operators based on selective morphology", Proc. SPIE 4667, Image Processing: Algorithms and Systems, (22 May 2002); https://doi.org/10.1117/12.467983

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