Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information
We discuss a synthesis of stochastic algorithms, obtaining expressions for gradients of Shannon, Renyi and Tsallis mutual information on the basis of the mathematical apparatus of stochastic gradient adaptation of algorithms for estimating image registration parameters. To obtain the expressions, de...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2024-02-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480113e.html |
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| author | A.G. Tashlinskii G.L. Safina R.M. Ibragimov |
| author_facet | A.G. Tashlinskii G.L. Safina R.M. Ibragimov |
| author_sort | A.G. Tashlinskii |
| collection | DOAJ |
| description | We discuss a synthesis of stochastic algorithms, obtaining expressions for gradients of Shannon, Renyi and Tsallis mutual information on the basis of the mathematical apparatus of stochastic gradient adaptation of algorithms for estimating image registration parameters. To obtain the expressions, derivatives of the image entropy with respect to the estimated parameters are used. The entropies are calculated using a Parzen window method. A comparative study of the synthesized algorithms in terms of stability and accuracy of the registration parameter estimates, including in conditions of additive noise, is carried out. |
| format | Article |
| id | doaj-art-2a306752d06044fa980419772d3049c5 |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-2a306752d06044fa980419772d3049c52025-02-04T09:14:41ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792024-02-0148110911710.18287/2412-6179-CO-1332Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual informationA.G. Tashlinskii0G.L. Safina1R.M. Ibragimov2Ulyanovsk State Technical UniversityNational Research Moscow State University of Civil EngineeringUlyanovsk State Technical UniversityWe discuss a synthesis of stochastic algorithms, obtaining expressions for gradients of Shannon, Renyi and Tsallis mutual information on the basis of the mathematical apparatus of stochastic gradient adaptation of algorithms for estimating image registration parameters. To obtain the expressions, derivatives of the image entropy with respect to the estimated parameters are used. The entropies are calculated using a Parzen window method. A comparative study of the synthesized algorithms in terms of stability and accuracy of the registration parameter estimates, including in conditions of additive noise, is carried out.https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480113e.htmlimageestimationparameterbindingstochastic proceduremutual information |
| spellingShingle | A.G. Tashlinskii G.L. Safina R.M. Ibragimov Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information Компьютерная оптика image estimation parameter binding stochastic procedure mutual information |
| title | Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| title_full | Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| title_fullStr | Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| title_full_unstemmed | Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| title_short | Synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| title_sort | synthesis of stochastic algorithms for image registration by the criterion of maximum mutual information |
| topic | image estimation parameter binding stochastic procedure mutual information |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480113e.html |
| work_keys_str_mv | AT agtashlinskii synthesisofstochasticalgorithmsforimageregistrationbythecriterionofmaximummutualinformation AT glsafina synthesisofstochasticalgorithmsforimageregistrationbythecriterionofmaximummutualinformation AT rmibragimov synthesisofstochasticalgorithmsforimageregistrationbythecriterionofmaximummutualinformation |