Nonparametric estimation of the number of classes with different average brightness in thermal images

When there is no information about the number of brightness classes, synthesizing algorithms for automatic image threshold segmentation involves a problem of determining the number of thresholds. The solution to the problem of estimating the number of classes in an image can be based on representing...

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Main Authors: A.N. Galyntich, M.A. Raifeld
Format: Article
Language:English
Published: Samara National Research University 2023-10-01
Series:Компьютерная оптика
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Online Access:https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470516e.html
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author A.N. Galyntich
M.A. Raifeld
author_facet A.N. Galyntich
M.A. Raifeld
author_sort A.N. Galyntich
collection DOAJ
description When there is no information about the number of brightness classes, synthesizing algorithms for automatic image threshold segmentation involves a problem of determining the number of thresholds. The solution to the problem of estimating the number of classes in an image can be based on representing its distribution as a mixture of distributions of brightness classes when priori probabilities are unknown, or estimating the number of histogram modes. At the same time, it is known that the mixture splitting problem has a solution only for certain types of distributions and the histogram modes are not always distinguishable. In the general case, when the distributions of brightness classes are unknown, there are difficulties in applying these methods. The article proposes a non-parametric approach to determining the number of classes that differ in average brightness, based on rank histograms and using the property of local spatial grouping of elements of each brightness class in the image.
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publisher Samara National Research University
record_format Article
series Компьютерная оптика
spelling doaj-art-d415b79955d640cc813d795d7f82b63f2025-01-23T06:04:17ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792023-10-0147581682310.18287/2412-6179-CO-1284Nonparametric estimation of the number of classes with different average brightness in thermal imagesA.N. Galyntich0M.A. Raifeld1Branch of JSC "PO UOMZ Ural-SibNIIRS"; Novosibirsk State Technical University,Novosibirsk State Technical University,When there is no information about the number of brightness classes, synthesizing algorithms for automatic image threshold segmentation involves a problem of determining the number of thresholds. The solution to the problem of estimating the number of classes in an image can be based on representing its distribution as a mixture of distributions of brightness classes when priori probabilities are unknown, or estimating the number of histogram modes. At the same time, it is known that the mixture splitting problem has a solution only for certain types of distributions and the histogram modes are not always distinguishable. In the general case, when the distributions of brightness classes are unknown, there are difficulties in applying these methods. The article proposes a non-parametric approach to determining the number of classes that differ in average brightness, based on rank histograms and using the property of local spatial grouping of elements of each brightness class in the image.https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470516e.htmlimage segmentationnonparametric algorithmrank histogrameigenvaluesgram-schmidt orthogonalizationprincipal component method
spellingShingle A.N. Galyntich
M.A. Raifeld
Nonparametric estimation of the number of classes with different average brightness in thermal images
Компьютерная оптика
image segmentation
nonparametric algorithm
rank histogram
eigenvalues
gram-schmidt orthogonalization
principal component method
title Nonparametric estimation of the number of classes with different average brightness in thermal images
title_full Nonparametric estimation of the number of classes with different average brightness in thermal images
title_fullStr Nonparametric estimation of the number of classes with different average brightness in thermal images
title_full_unstemmed Nonparametric estimation of the number of classes with different average brightness in thermal images
title_short Nonparametric estimation of the number of classes with different average brightness in thermal images
title_sort nonparametric estimation of the number of classes with different average brightness in thermal images
topic image segmentation
nonparametric algorithm
rank histogram
eigenvalues
gram-schmidt orthogonalization
principal component method
url https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470516e.html
work_keys_str_mv AT angalyntich nonparametricestimationofthenumberofclasseswithdifferentaveragebrightnessinthermalimages
AT maraifeld nonparametricestimationofthenumberofclasseswithdifferentaveragebrightnessinthermalimages