Pub Date : 2023-02-01DOI: 10.18287/2412-6179-co-1143
V. V. Nikolaev, E. I. Girshova, M. Kaliteevski
We propose a method of analysis of spontaneous emission of a quantum emitter (an atom, a luminescence center, a quantum dot) inside or in vicinity of a cylinder. At the focus of our method are analytical expressions for the scattering matrix of the cylindrical nanoobject. We propose the approach to electromagnetic field quantization based of eigenvalues and eigenvectors of the scattering matrix. The method is applicable for calculation and analysis of spontaneous emission rates and angular dependences of radiation for a set of different systems: semiconductor nanowires with quantum dots, plasmonic nanowires, cylindrical hollows in dielectrics and metals. Relative simplicity of the method allows obtaining analytical and semi-analytical expressions for both cases of radiation into external medium and into guided modes.
{"title":"Modeling of spontaneous emission in presence of cylindrical nanoobjects: the scattering matrix approach","authors":"V. V. Nikolaev, E. I. Girshova, M. Kaliteevski","doi":"10.18287/2412-6179-co-1143","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1143","url":null,"abstract":"We propose a method of analysis of spontaneous emission of a quantum emitter (an atom, a luminescence center, a quantum dot) inside or in vicinity of a cylinder. At the focus of our method are analytical expressions for the scattering matrix of the cylindrical nanoobject. We propose the approach to electromagnetic field quantization based of eigenvalues and eigenvectors of the scattering matrix. The method is applicable for calculation and analysis of spontaneous emission rates and angular dependences of radiation for a set of different systems: semiconductor nanowires with quantum dots, plasmonic nanowires, cylindrical hollows in dielectrics and metals. Relative simplicity of the method allows obtaining analytical and semi-analytical expressions for both cases of radiation into external medium and into guided modes.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"10 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78509323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.18287/2412-6179-co-1199
E. Vorobeva, V. V. Ivakhnik, D. R. Kapizov
Spatial and temporal characteristics of a degenerate four-wave converter in a multimode waveguide with resonant nonlinearity in a scheme with counter-pumping waves are analyzed using the time response function and the point spread function. For single-mode pump waves with equal mode numbers, the dependences of the time response width on the waveguide length, the intensity of the first pump waves, and the mode number in the mode expansion of the object wave amplitude are obtained for the four-wave converter. The greatest contribution to the object wave amplitude is shown to be from the waveguide mode whose number coincides with the mode number of single-mode pump waves. For the stationary model, taking into account the spatial structure of the Gaussian pump wave leads to a monotonous decrease with a decrease in the pump beam width, followed by a constant value of the PSF module width. With single-mode pump waves with equal mode numbers, An increase in the mode number of the pump waves leads to a redistribution of energy concentrated in the side maxima of the point signal image and improvement in the quality of the wavefront reversal for a model with single-mode pump waves with equal mode numbers.
{"title":"Spatial and time characteristics of a four-wave radiation converter in a parabolic waveguide with resonant nonlinearity","authors":"E. Vorobeva, V. V. Ivakhnik, D. R. Kapizov","doi":"10.18287/2412-6179-co-1199","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1199","url":null,"abstract":"Spatial and temporal characteristics of a degenerate four-wave converter in a multimode waveguide with resonant nonlinearity in a scheme with counter-pumping waves are analyzed using the time response function and the point spread function. For single-mode pump waves with equal mode numbers, the dependences of the time response width on the waveguide length, the intensity of the first pump waves, and the mode number in the mode expansion of the object wave amplitude are obtained for the four-wave converter. The greatest contribution to the object wave amplitude is shown to be from the waveguide mode whose number coincides with the mode number of single-mode pump waves. For the stationary model, taking into account the spatial structure of the Gaussian pump wave leads to a monotonous decrease with a decrease in the pump beam width, followed by a constant value of the PSF module width. With single-mode pump waves with equal mode numbers, An increase in the mode number of the pump waves leads to a redistribution of energy concentrated in the side maxima of the point signal image and improvement in the quality of the wavefront reversal for a model with single-mode pump waves with equal mode numbers.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"61 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89179680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-02-01DOI: 10.18287/2412-6179-co-1229
S. Stafeev, A. D. Pryamikov, G. Alagashev, V. Kotlyar
In this paper, the propagation of a second-order cylindrical vector beam in gradient-index and microstructured fibers is numerically simulated using the RSoft Fullwave software. The second-order vector beams are shown to be vector modes of these fibers. In the calculated fundamental modes, regions are found in which there is an energy flow directed oppositely to the beam propagation direction (regions of a reverse energy flow). The absolute value of the longitudinal component of the reverse energy flow is found to be much lower than that of the forward flow.
{"title":"Reverse energy flow in vector modes of optical fibers","authors":"S. Stafeev, A. D. Pryamikov, G. Alagashev, V. Kotlyar","doi":"10.18287/2412-6179-co-1229","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1229","url":null,"abstract":"In this paper, the propagation of a second-order cylindrical vector beam in gradient-index and microstructured fibers is numerically simulated using the RSoft Fullwave software. The second-order vector beams are shown to be vector modes of these fibers. In the calculated fundamental modes, regions are found in which there is an energy flow directed oppositely to the beam propagation direction (regions of a reverse energy flow). The absolute value of the longitudinal component of the reverse energy flow is found to be much lower than that of the forward flow.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"31 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2023-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83144852","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1167
G. I. Greĭsukh, E. G. Ezhov, I. A. Levin
The possibility of achieving superior optical characteristics and passive athermalization in dual-band IR objectives of a simple design is shown. This is ensured, in particular, by using refractive lenses made of chalcogenide glasses in the optical scheme. Recommendations regarding the layout of the optical scheme and obtaining initial design parameters for the subsequent optimization are given. The reliability and effectiveness of the recommendations are confirmed by the results of designing a super-aperture refractive-lens objective operating in the mid- and long-IR subranges and forming a high-quality polychromatic image on the matrix of an uncooled microbolometer in the operating temperature range from – 40°C to + 60°C.
{"title":"Designing dual-band athermal refractive-lens IR objectives","authors":"G. I. Greĭsukh, E. G. Ezhov, I. A. Levin","doi":"10.18287/2412-6179-co-1167","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1167","url":null,"abstract":"The possibility of achieving superior optical characteristics and passive athermalization in dual-band IR objectives of a simple design is shown. This is ensured, in particular, by using refractive lenses made of chalcogenide glasses in the optical scheme. Recommendations regarding the layout of the optical scheme and obtaining initial design parameters for the subsequent optimization are given. The reliability and effectiveness of the recommendations are confirmed by the results of designing a super-aperture refractive-lens objective operating in the mid- and long-IR subranges and forming a high-quality polychromatic image on the matrix of an uncooled microbolometer in the operating temperature range from – 40°C to + 60°C.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"102 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77276954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1159
N. Stsepuro, M. Kovalev, G. Krasin, I. Gritsenko, A. V. Bobkov, S. I. Kudryashov
The transport-of-intensity equation provides a new non-interferometric and non-iterative access to quantitative information about the phase of a light wave by measuring intensity distributions. This equation can be used to implement a simple and accurate spatial phase measurement for optical testing of spherical surfaces. The method requires only a CMOS camera, which records transverse field intensity distributions in several planes. Processing of experimental measurements with specialized software allows one to reconstruct the value of the radius of curvature of the spherical surface under test with high accuracy. The method is compared with measurements made by an interferometer, showing the difference between the values of the surface radius of curvature to be 0.01 % or less and indicating good agreement of the results.
{"title":"Measurement of the radius of curvature of a spherical surface based on the transport-of-intensity equation","authors":"N. Stsepuro, M. Kovalev, G. Krasin, I. Gritsenko, A. V. Bobkov, S. I. Kudryashov","doi":"10.18287/2412-6179-co-1159","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1159","url":null,"abstract":"The transport-of-intensity equation provides a new non-interferometric and non-iterative access to quantitative information about the phase of a light wave by measuring intensity distributions. This equation can be used to implement a simple and accurate spatial phase measurement for optical testing of spherical surfaces. The method requires only a CMOS camera, which records transverse field intensity distributions in several planes. Processing of experimental measurements with specialized software allows one to reconstruct the value of the radius of curvature of the spherical surface under test with high accuracy. The method is compared with measurements made by an interferometer, showing the difference between the values of the surface radius of curvature to be 0.01 % or less and indicating good agreement of the results.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"1 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90258409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1177
V. Kotlyar, E. Abramochkin, A. Kovalev, A. Savelyeva
We show here that the product of two Laguerre-Gaussian (LG) beams, i.e. double LG beams (dLG), can be represented as finite superposition of conventional LG beams with certain coeffi-cients that are expressed via zero-argument Jacobi polynomials. This allows obtaining an explicit expression for the complex amplitude of the dLG beams in the Fresnel diffraction zone. Generally, such beams do not retain their structure, changing shape upon free-space propagation. However, if both LG beams are of the same order, we obtain a special case of a "squared" LG beam, which is Fourier-invariant. Another special case of the dLG beams is obtained when the azimuthal indices of the Laguerre polynomials are equal to n – m and n + m. For such a beam, an explicit expression is obtained for the complex amplitude in the Fourier plane. We show that if the lower indices of the constituent LG beams are the same, such a double LG beam is also Fourier-invariant. Similar to conventional LG beams, the product of LG beams can be used for optical data transmission, since they are characterized by azimuthal orthogonality and carry an orbital angular momentum equal to the topological charge.
{"title":"Double Laguerre-Gaussian beams","authors":"V. Kotlyar, E. Abramochkin, A. Kovalev, A. Savelyeva","doi":"10.18287/2412-6179-co-1177","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1177","url":null,"abstract":"We show here that the product of two Laguerre-Gaussian (LG) beams, i.e. double LG beams (dLG), can be represented as finite superposition of conventional LG beams with certain coeffi-cients that are expressed via zero-argument Jacobi polynomials. This allows obtaining an explicit expression for the complex amplitude of the dLG beams in the Fresnel diffraction zone. Generally, such beams do not retain their structure, changing shape upon free-space propagation. However, if both LG beams are of the same order, we obtain a special case of a \"squared\" LG beam, which is Fourier-invariant. Another special case of the dLG beams is obtained when the azimuthal indices of the Laguerre polynomials are equal to n – m and n + m. For such a beam, an explicit expression is obtained for the complex amplitude in the Fourier plane. We show that if the lower indices of the constituent LG beams are the same, such a double LG beam is also Fourier-invariant. Similar to conventional LG beams, the product of LG beams can be used for optical data transmission, since they are characterized by azimuthal orthogonality and carry an orbital angular momentum equal to the topological charge.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"6 4 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78349312","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1169
A. Volyar, E. Abramochkin, M. Bretsko, Y. Akimova, Y. Egorov
In general, a standard Laguerre–Gauss (LG) beam, whose state is given by two quantum numbers (n, 𝓁): the radial number n and the azimuthal number 𝓁 (or the topological charge (TС) of the vortex carried by the LG beam), is unstable with respect to weak perturbations. This is not difficult to see if we decompose the complex amplitude of the LG beam in terms of Hermite–Gauss modes (HG), with the total number of HG modes being equal to N = 2n +𝓁 + 1. If we now slightly change the amplitudes and phases of each HG mode, then the structure of the LG beam radically changes. Such a combination of modes is called a structured LG beam (sLG), which can carry large additional arrays of information embedded in the sLG beam by encoding the amplitudes and phases of the HG modes (excitation of modes). But as soon as a perturbation is inserted into the LG beam, its orbital angular momentum (OAM) can change dramatically in such a way that the value of the OAM changes in the interval (–𝓁, 𝓁), and the total TC – in the interval (–2n – 𝓁, 2n + 𝓁). At n = 0, the OAM changes smoothly in the interval (–𝓁, 𝓁), however it is worth "turning on" the radial number n, as the OAM oscillations occur. The number of minima (maxima) of the oscillations is equal to the radial number n in the interval θ = (0, π) and θ = (π, 2π), with their amplitude nonlinearly depending on the difference 𝓁 – n, except for the point θ = π, where the structured beam becomes degenerate. If 𝓁 = 0, then the OAM is zero, so that in the sLG beam structure, we observe either a symmetrical array of vortices with opposite-sign TCs or a pattern of edge dislocations, the number of which is equal to the radial number n. We also found that, despite the fast oscillations of the OAM, the absolute value of the total TC of the sLG beam does not change with variation of both the amplitude ε and phase θ parameters, but depends solely on the initial state (n, 𝓁) of the LG beam and modulo (2n + 𝓁).
{"title":"Can the radial number of vortex modes control the orbital angular momentum?","authors":"A. Volyar, E. Abramochkin, M. Bretsko, Y. Akimova, Y. Egorov","doi":"10.18287/2412-6179-co-1169","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1169","url":null,"abstract":"In general, a standard Laguerre–Gauss (LG) beam, whose state is given by two quantum numbers (n, 𝓁): the radial number n and the azimuthal number 𝓁 (or the topological charge (TС) of the vortex carried by the LG beam), is unstable with respect to weak perturbations. This is not difficult to see if we decompose the complex amplitude of the LG beam in terms of Hermite–Gauss modes (HG), with the total number of HG modes being equal to N = 2n +𝓁 + 1. If we now slightly change the amplitudes and phases of each HG mode, then the structure of the LG beam radically changes. Such a combination of modes is called a structured LG beam (sLG), which can carry large additional arrays of information embedded in the sLG beam by encoding the amplitudes and phases of the HG modes (excitation of modes). But as soon as a perturbation is inserted into the LG beam, its orbital angular momentum (OAM) can change dramatically in such a way that the value of the OAM changes in the interval (–𝓁, 𝓁), and the total TC – in the interval (–2n – 𝓁, 2n + 𝓁). At n = 0, the OAM changes smoothly in the interval (–𝓁, 𝓁), however it is worth \"turning on\" the radial number n, as the OAM oscillations occur. The number of minima (maxima) of the oscillations is equal to the radial number n in the interval θ = (0, π) and θ = (π, 2π), with their amplitude nonlinearly depending on the difference 𝓁 – n, except for the point θ = π, where the structured beam becomes degenerate. If 𝓁 = 0, then the OAM is zero, so that in the sLG beam structure, we observe either a symmetrical array of vortices with opposite-sign TCs or a pattern of edge dislocations, the number of which is equal to the radial number n. We also found that, despite the fast oscillations of the OAM, the absolute value of the total TC of the sLG beam does not change with variation of both the amplitude ε and phase θ parameters, but depends solely on the initial state (n, 𝓁) of the LG beam and modulo (2n + 𝓁).","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"41 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74939813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1152
V. Kotlyar, A. Kovalev
Here, we investigate coaxial superpositions of Gaussian optical vortices that can be described by a geometric sequence. For all superpositions analyzed, a topological charge (TC) is derived. In the initial plane, the TC can be either integer or half-integer, acquiring an integer value upon free-space propagation of the light field. Generally, the geometric sequence of optical vortices (GSOV) has three integer parameters and one real parameter. Values of these four parameters define the TC of the GSOV. Upon free-space propagation, the intensity pattern of the GSOV is not conserved, but can have intensity petals whose number is equal to one of the four beam parameters. If the GSOV has a unit real parameter, all constituent angular harmonics in the superposition have the same weight. In this case, the TC of the superposition is equal to the average index of the constituent angular harmonics. For instance, if the TC of the first and of the last angular harmonics, respectively, equals k and n, then the total TC of the superposition in the initial plane will be (n + k) /2, becoming equal to n upon free-space propagation.
{"title":"Topological charge of superposition of optical vortices described by a geometric sequence","authors":"V. Kotlyar, A. Kovalev","doi":"10.18287/2412-6179-co-1152","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1152","url":null,"abstract":"Here, we investigate coaxial superpositions of Gaussian optical vortices that can be described by a geometric sequence. For all superpositions analyzed, a topological charge (TC) is derived. In the initial plane, the TC can be either integer or half-integer, acquiring an integer value upon free-space propagation of the light field. Generally, the geometric sequence of optical vortices (GSOV) has three integer parameters and one real parameter. Values of these four parameters define the TC of the GSOV. Upon free-space propagation, the intensity pattern of the GSOV is not conserved, but can have intensity petals whose number is equal to one of the four beam parameters. If the GSOV has a unit real parameter, all constituent angular harmonics in the superposition have the same weight. In this case, the TC of the superposition is equal to the average index of the constituent angular harmonics. For instance, if the TC of the first and of the last angular harmonics, respectively, equals k and n, then the total TC of the superposition in the initial plane will be (n + k) /2, becoming equal to n upon free-space propagation.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"22 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90892660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-12-01DOI: 10.18287/2412-6179-co-1104
R. Ilinsky
A ball lens is analyzed. The refractive index of this lens is a function of the distance from the ball center. Conditions are derived under which such a lens is free of the third-order spherical aberration given a beam of incident parallel rays.
{"title":"Conditions for correcting third-order spherical aberration in a ball lens with spherical refractive index distribution","authors":"R. Ilinsky","doi":"10.18287/2412-6179-co-1104","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1104","url":null,"abstract":"A ball lens is analyzed. The refractive index of this lens is a function of the distance from the ball center. Conditions are derived under which such a lens is free of the third-order spherical aberration given a beam of incident parallel rays.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"14 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89075587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-10-01DOI: 10.18287/2412-6179-co-1056
S. Jeevith, S. Lakshmikanth
In various computer vision applications, the moving object detection is an essential step. Principal Component Analysis (PCA) techniques are often used for this purpose. However, the performance of this method is degraded by camera shake, hidden moving objects, dynamic background scenes, and / or fluctuating exposure. Robust Principal Component Analysis (RPCA) is a useful approach for reducing stationary background noise as it can recover low rank matrices. That is, moving object is formed by the low power models and the static background of RPCA. This paper proposes a simple alternative minimization algorithm to fix minor discrepancies in the original Principal Component Pursuit (PCP) or RPCA function. A novel hybrid method of cartoon texture features used as a data matrix for RPCA taking into account low-ranking and rare matrix is presented. A new non-convex function is proposed to better control the low-range properties of the video background. Simulation results demonstrate that the proposed algorithm is capable of giving consistent random estimates and can indeed improve the accuracy of object recognition in comparison with existing methods.
{"title":"Robust hybrid technique for moving object detection and tracking using cartoon features and fast PCP","authors":"S. Jeevith, S. Lakshmikanth","doi":"10.18287/2412-6179-co-1056","DOIUrl":"https://doi.org/10.18287/2412-6179-co-1056","url":null,"abstract":"In various computer vision applications, the moving object detection is an essential step. Principal Component Analysis (PCA) techniques are often used for this purpose. However, the performance of this method is degraded by camera shake, hidden moving objects, dynamic background scenes, and / or fluctuating exposure. Robust Principal Component Analysis (RPCA) is a useful approach for reducing stationary background noise as it can recover low rank matrices. That is, moving object is formed by the low power models and the static background of RPCA. This paper proposes a simple alternative minimization algorithm to fix minor discrepancies in the original Principal Component Pursuit (PCP) or RPCA function. A novel hybrid method of cartoon texture features used as a data matrix for RPCA taking into account low-ranking and rare matrix is presented. A new non-convex function is proposed to better control the low-range properties of the video background. Simulation results demonstrate that the proposed algorithm is capable of giving consistent random estimates and can indeed improve the accuracy of object recognition in comparison with existing methods.","PeriodicalId":46692,"journal":{"name":"Computer Optics","volume":"62 1","pages":""},"PeriodicalIF":1.0,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90713566","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：