Morphological shape descriptors  of binary images based 
        on elliptical structuring elements
  S.V. Sidyakin, Yu.V. Vizilter
  FGUP “GosNIIAS”
 
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Full text of article: Russian language.
DOI: 10.18287/0134-2452-2014-38-3-511-520
Pages: 511-520.
Abstract:
In this paper, we  proposed algorithms for constructing continuous skeletons with elliptical  structuring element (SE). The transformation between disk and elliptical  skeletons is described.  Computationally  efficient discrete-continuous approach for the construction of morphological descriptors  (spectra and maps) with fixed elliptical SE is proposed based on elliptical  skeletons. The definitions of morphological elliptical maps, size spectra,  directions spectra, elongation spectra with arbitrary elliptical structuring  element is proposed. Definitions of two-dimensional spectra with various  combinations of size and shape factors is given. Proposed morphological  descriptors can be used directly for shape comparison or for shape segmentation  into simple geometric parts of specified thickness, direction and elongation.
Key words:
mathematical morphology,  pattern spectra, continuous skeleton, ellipse.
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