Morphlets: a new class of tree-structured morphological descriptors of image shape

In this paper, we present a new class of tree-structured morphological descriptors of image shape. The notion of a Haar-like function is formalized. It is demonstrated that Pytiev morphology of centered images can be described in terms of a Haar-like basis. The morphology of localized mosaic shapes...

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Bibliographic Details
Published inKompʹûternaâ optika Vol. 39; no. 1; pp. 101 - 108
Main Authors Vizilter, Yu, Gorbatsevich, V., Zheltov, S., Rubis, A., Vorotnikov, A.
Format Journal Article
LanguageEnglish
Published 2015
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Summary:In this paper, we present a new class of tree-structured morphological descriptors of image shape. The notion of a Haar-like function is formalized. It is demonstrated that Pytiev morphology of centered images can be described in terms of a Haar-like basis. The morphology of localized mosaic shapes and corresponding localized Haar-like wavelet systems are described. The formal way for generating a hierarchical structure of localized mosaic shapes and corresponding tree of localized Haar-like wavelets is reported. The notion of “morphlets” as Haar-like wavelets corresponding to the mosaic shape of some image is introduced. Some constructive schemes for the generation of morphlet-based image descriptors are considered.
ISSN:0134-2452
2412-6179
DOI:10.18287/0134-2452-2015-39-1-101-108