Full text of article: Russian language.

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Abstract:
In this paper we substantiate and develop a new comparative diffusion morphology technique based on filters that allow geometrical changes in the images under comparison. Two alternative interpretations of the morphological projector using “absolute” and “relative” definitions of a morphological image shape are proposed. Diffusion morphology based on superposition of two Pytiev’s projectors on mosaic shapes is considered. Diffusion morphology based on 'reference' filters is proposed as a generalization of the approach. The advantage of using diffusion morphology compared to classical Pytiev’s projective morphology in change detection applications is demonstrated.

Keywords:
mathematical morphology, image matching, diffusion maps.

Citation:
Lebedev MA, Rubis AYu, Gorbatsevich VS, Vizilter YuV, Vygolov OV. Change detection in segmented images based on reference filters. Computer Optics 2016; 40(1): 80-6. DOI: 10.18287/2412-6179-2016-40-1-80-86..

References:

1. Pytiev YuP, Chulichkov AI. Methods of morphological image analysis [in Russian]. Moscow: “Fizmatlit” Publisher; 2010.
2. Vizilter YuV, Gorbatsevich VS, Rubis AYu, Zheltov SYu. Shape-Based Image Matching Using Heat Kernels and Diffusion Maps. ISPRS Archives 2014; XL-3: 357-364.
3. Vizilter YuV, Zheltov SuY, Bondarenko AV, Ososkov MV, Morzhin AV. Image processing and analysis in technical vision applications [in Russian]. Moscow: “Fizmatlit” Publisher; 2010.
4. Pytiev YuP. Skew projectors and relative shapes in image morphological analysis [in Russian]. Computational Mathematics and Mathematical Physics 2013; 53(12): 2100-2122.

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