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Computer Optics, 2016, Volume 40, Issue 4, Pages 516–525 (Mi co246)  

IMAGE PROCESSING, PATTERN RECOGNITION

Area of the disk cover as an image shape descriptor

N. A. Lomov, L. M. Mestetskiy

Lomonosov Moscow State University, Computational Mathematics and Cybernetics Faculty, Moscow, Russia

Abstract: A "width of a shape" concept considered in relation to variable-width objects is used as the integral shape descriptor for image recognition tasks. The approach to the definition of this concept is based on covering the figure of interest with certain-size disks. A function that defines the area of disk cover against the disk size is used as a shape descriptor. An analytical method for calculating the area of disk cover for polygonal figures is proposed. The possibility to approximate by polygonal figures binary raster images and objects with non-linear boundaries makes the approach universal. The proposed method is based on the medial representation of objects as a skeleton and a radial function. The method provides high accuracy and computational efficiency. The efficiency of the proposed shape descriptor is illustrated by the example of its application to the digital font recognition problem.

Keywords: disk cover, polygonal figure, medial representation, skeleton, radial function, bicircle.

Funding Agency Grant Number
Russian Foundation for Basic Research 14-01-00716-
This work was supported by RFBR (grant 14-01-00716).


DOI: https://doi.org/10.18287/2412-6179-2016-40-4-516-525

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Full text: http://www.computeroptics.smr.ru/.../400411.html
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Received: 10.06.2016
Accepted:15.08.2016

Citation: N. A. Lomov, L. M. Mestetskiy, “Area of the disk cover as an image shape descriptor”, Computer Optics, 40:4 (2016), 516–525

Citation in format AMSBIB
\Bibitem{LomMes16}
\by N.~A.~Lomov, L.~M.~Mestetskiy
\paper Area of the disk cover as an image shape descriptor
\jour Computer Optics
\yr 2016
\vol 40
\issue 4
\pages 516--525
\mathnet{http://mi.mathnet.ru/co246}
\crossref{https://doi.org/10.18287/2412-6179-2016-40-4-516-525}


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