2018
DOI: 10.35470/2226-4116-2018-7-4-174-181
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Optimization algorithm of the velocity field determining in image processing

Abstract: The paper proposes a new algorithm for constructing the velocity field, which is based on the study of the integral functional on the ensemble of trajectories. The resulting analytical representation of the variation of the integral functional gives us the gradient of the investigated functional. It allows to find the desired parameters using gradient methods, which determine the velocity field. This approach allows both optical flow and non-optical flow construction. The proposed algorithm can be used in the … Show more

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Cited by 12 publications
(7 citation statements)
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“…Image super-resolution is a classic problem related to image processing [Bazhanov et al, 2018], and there have been a number of researchers involved in this area [Cheng et al, 2019;Ma et al, 2020]. Yang et al [Yang et al, 2014] provided a general review of previously standard techniques when applying convolutional neural networks to their research.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Image super-resolution is a classic problem related to image processing [Bazhanov et al, 2018], and there have been a number of researchers involved in this area [Cheng et al, 2019;Ma et al, 2020]. Yang et al [Yang et al, 2014] provided a general review of previously standard techniques when applying convolutional neural networks to their research.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Different approaches are known from publications and widely used in practice [Barron and Fleet, 1994;Bruhn, Weickert and Schnorr, 2005;Sun, Roth and Black, 2010;Tu, et.al., 2019]. In the current work the problem of constructing the velocity field is considered as control and optimization problem [Ovsyannikov, 1980;Bazhanov, et al, 2018;Kotina and Ovsyannikov, 2021].…”
Section: Introductionmentioning
confidence: 99%
“…A large number of publications are devoted to the data processing. In the articles [Kotina and Pasechnaya, 2014;Kotina et al, 2019;Bazhanov et al, 2018], methods of image processing based on the construction of the velocity field are developed. A number of papers discuss issues of the myocardium segmentation [Xu et al, 2009;Germano et al, 2016], the parametric image construction [Slomka et al, 2017;Gomez et al, 2018;Kuronuma et al, 2021][Germano and, software packages for automated quantification [Germano et al, 2007;Ficaro et al, 2007;Garcia et al, 2007], the prognostic value of gated myocardial perfusion SPECT [Nakajima et al, 2017;Kuronuma et al, 2021;Cabrera-Rodríguez et al, 2013].…”
Section: Introductionmentioning
confidence: 99%