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Methods, algorithms and programs of computer algebra in problems of registration and analysis of random point structures

Methods, algorithms and programs of computer algebra in problems of registration and analysis of random point structures

Reznik A.L., Soloviev A.A.

Статья научная

An original approach to solving difficult time-consuming problems of registration and analysis of random point images is described. The approach is based on the development and application of high-performance specialized computer algebra systems. Three software packages have been created specifically for carrying out equivalent analytical transformations on a computer. The first software system is designed to calculate formulas describing the volumes of convex polyhedra with parametrically specified boundaries in n -dimensional space. The second system is based on the calculation of multidimensional integral expressions by the method of cyclic differentiation of the integral with respect to the parameter. The third system is based on the accelerated implementation of complex combinatorial-recursive transformations on a computer. Another distinctive feature of the work is the extension of the classical Catalan numbers to the multidimensional case (they were required to solve a number of intermediate probabilistic-combinatorial problems). The implementation of the above computer algebra software systems on a multi-core cluster of Novosibirsk State University, together with the direct use of the explicit form of generalized Catalan numbers, allowed the authors to obtain several new previously unknown probabilistic formulas and dependencies required for solving problems in the field of analysis of random point images.

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Modeling of spontaneous emission in presence of cylindrical nanoobjects: the scattering matrix approach

Modeling of spontaneous emission in presence of cylindrical nanoobjects: the scattering matrix approach

Nikolaev Valentin, Girshova Elizaveta Ilinichna, Kaliteevski Mikhail Alekseevich

Статья научная

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.

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Modeling the light diffraction by micro-optics elements using the finite element method

Modeling the light diffraction by micro-optics elements using the finite element method

Nesterenko D.V., Kotlyar V.V., Wangimage Y.

Статья

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Modelling of multilayer dielectric filters based on TIO2 / SIO2 and TIO2 / MgF2 for fluorescence microscopy imaging

Modelling of multilayer dielectric filters based on TIO2 / SIO2 and TIO2 / MgF2 for fluorescence microscopy imaging

Butt Muhammad Ali, Fomchenkov Sergey Alexandrovich, Ullah Anayat, Habib Mohsin, Ali Rabia Zafar

Статья научная

We report a design for creating multilayer dielectric optical filters based on TiO2 and SiO2/MgF2 alternating layers. We have selected Titanium dioxide (TiO2) for high refractive index (2.5), Silicon dioxide (SiO2) and Magnesium fluoride (MgF2) as a low refractive index layer (1.45 and 1.37) respectively. Miniaturized visible spectrometers are useful for quick and mobile characterization of biological samples. Such devices can be fabricated by using Fabry-Perot (FP) filters consisting of two highly reflecting mirrors with a central cavity in between. Distributed Bragg Re-flectors (DBRs) consisting of alternating high and low refractive index material pairs are the most commonly used mirrors in FP filters, due to their high reflectivity. However, DBRs have high re-flectivity for a selected range of wavelengths known as the stopband of the DBR. This range is usually much smaller than the sensitivity range of the spectrometer. Therefore, bandpass filters are required to restrict the wavelength outside the stopband of the FP DBRs. The proposed filter shows high quality with an average transmission of 97 % within the passbands and the transmission outside the passband is around 3 %. Special attention has been given to keep the thickness of the filters within the economic limits. It can be suggested that these filters are exceptionally promising for florescence imaging and narrow-band imaging endoscopy.

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Monitored reconstruction improved by post-processing neural network

Monitored reconstruction improved by post-processing neural network

Yamaev A.V.

Статья научная

Computed tomography (CT) is widely utilized for analyzing internal structures, but the limitations of traditional reconstruction algorithms, which often require a large number of projections, restrict their effectiveness in time-critical tasks or for biological objects studying. Recently Monitored reconstruction approach was proposed for reducing the requirement of dose load. In this paper, there were investigated the advantages of using post-processing neural networks within a monitored reconstruction approach. Three algorithms, namely FBP, FBPConvNet, and LRFR, are evaluated based on their mean count of projections required for the achievement of target reconstruction accuracy. A novel training method specifically designed for neural network algorithms within the Monitored reconstruction framework is proposed. It is shown that the use of the LRFR approach allows one to achieve both a reduction in the number of measured projections and an improvement in the reconstruction accuracy over a certain range of stopping rules. These findings highlight the significant potential of neural networks to be used in the Monitored reconstruction approach.

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Multi-spectral image processing for the measurement of a spatial temperature distribution on the surface of a laser-heated microscopic object

Multi-spectral image processing for the measurement of a spatial temperature distribution on the surface of a laser-heated microscopic object

Bulatov Kamil M., Mantrova Yuliya V., Bykov Alexey A., Machikhin Alexander S., Gaponov Maxim I., Zinin Pavel V., Troyan Ivan A., Batshev Vladislav I., Kutuza Igor B.

Статья научная

In this paper, we demonstrate that combining a laser heating (LH) system with a tandem acousto-optical tunable filter (TAOTF) allows us to measure the temperature distribution (TD) across a laser-heated microscopic specimen. Spectral image processing is based on one-dimensional (1D) non-linear least squares fitting of the Planck radiation function. It is applied for determining the temperature T at each point ( x, y ) of the specimen surface. It is shown that spectral image processing using the 1D non-linear least squares fitting allows measurement of the TD of the laser-heated microscopic specimen with higher precision and stability than those of the conventional linear least-squares fitting of the Wien approximation of Planck’s law.

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Multigrammatical modelling of neural networks

Multigrammatical modelling of neural networks

Sheremet I.A.

Статья научная

This paper is dedicated to the proposed techniques of modelling artificial neural networks (NNs) by application of the multigrammatical framework. Multigrammatical representations of feed-forward and recurrent NNs are described. Application of multiset metagrammars to modelling deep learning of NNs of the aforementioned classes is considered. Possible developments of the announced approach are discussed.

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Multispectral optoelectronic device for controlling an autonomous mobile platform

Multispectral optoelectronic device for controlling an autonomous mobile platform

Titov Vitaliy Semenovich, Spevakov Alexander Gennadyevich, Primenko Dmitry Vladimirovich

Статья научная

The paper substantiates the use of multispectral optoelectronic sensors intended to solve the problem of improving the positioning accuracy of autonomous mobile platforms. A mathematical model of the developed device operation has been suggested in the paper. Its distinctive feature is the cooperative processing of signals obtained from sensors operating in ultraviolet, visible, and infrared ranges and lidar. It reduces the computational complexity of detecting dynamic and stationary objects within the field of view of the device by processing data on the diffuse reflectivity of materials. The paper presents the functional organization of a multispectral optoelectronic device that makes it possible to detect and classify working scene objects with less time spending as compared to analogs. In the course of experimental research, the validity of the mathematical model was evaluated and there were obtained empirical data by means of the proposed hardware and software test stand. The accuracy evaluation of the detected object, at a distance of up to 100m inclusive, is within 0.95. At a distance of more than 100 m, it decreases. This is due to the operating range of a lidar. Error in determining spatial coordinates is of exponential character and it also increases sharply at a distance close to 100 m.

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Mutual modality learning for video action classification

Mutual modality learning for video action classification

Komkov S.A., Dzabraev M.D., Petiushko A.A.

Статья научная

The construction of models for video action classification progresses rapidly. However, the performance of those models can still be easily improved by ensembling with the same models trained on different modalities (e.g. Optical flow). Unfortunately, it is computationally expensive to use several modalities during inference. Recent works examine the ways to integrate advantages of multi-modality into a single RGB-model. Yet, there is still room for improvement. In this paper, we explore various methods to embed the ensemble power into a single model. We show that proper initialization, as well as mutual modality learning, enhances single-modality models. As a result, we achieve state-of-the-art results in the Something-Something-v2 benchmark.

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Nanophotonic structure formation by dry e-beam etching of the resist: resolution limitation origins

Nanophotonic structure formation by dry e-beam etching of the resist: resolution limitation origins

Rogozhin Alexander Evgenyevich, Bruk Mark Avramovich, Zhikharev Evgeny Nikolaevich, Sidorov Fedor Alekseevich

Статья научная

A wide range of structures for nanophotonics and optoelectronics can be formed by dry e-beam etching of the resist (DEBER). High resist sensitivity due to chain depolymerization reaction provides efficient etching with high throughput of the method. The structures obtained by the DEBER in this research are well-rounded diffraction gratings, binary gratings and staircase profiles. The major disadvantage of DEBER is poor lateral resolution, which may be caused by different physical mechanisms. Four groups of possible mechanisms leading to the resolution limitation are determined and the influence of some mechanisms is estimated.

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Necessary conditions for the propagation of two modes, Lp01 and Lp11, in a step-index optical fiber with a Kerr nonlinearity

Necessary conditions for the propagation of two modes, Lp01 and Lp11, in a step-index optical fiber with a Kerr nonlinearity

Burdin Vladimir, Bourdine Anton, Gubareva Olga

Статья научная

This paper presents the results of an analysis of the necessary propagation conditions in a step-index optical fiber with a Kerr nonlinearity of two modes, LP01 and LP11 , during the transmission of high-power optical pulses. All results were obtained by solving a system of two nonlinear equations for these modes, obtained by the Gauss approximation method, and the subsequent use of a procedure for refining estimates using the mixed finite elements method. The necessary conditions are determined, estimates of the boundaries for the range of normalised frequencies for which they are fulfilled are obtained, and an approximate formula is proposed for estimating the upper limit of this range.

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Network community partition based on intelligent clustering algorithm

Network community partition based on intelligent clustering algorithm

Cai Zhongmin

Статья научная

The division of network community is an important part of network research. Based on the clustering algorithm, this study analyzed the partition method of network community. Firstly, the classic Louvain clustering algorithm was introduced, and then it was improved based on the node similarity to get better partition results. Finally, experiments were carried out on the random network and the real network. The results showed that the improved clustering algorithm was faster than GN and KL algorithms, the community had larger modularity, and the purity was closer to 1. The experimental results show the effectiveness of the proposed method and make some contributions to the reliable community division.

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Neural network algorithm for optical-SAR image registration based on a uniform grid of points

Neural network algorithm for optical-SAR image registration based on a uniform grid of points

Volkov V.V., Shvets E.A.

Статья научная

The paper considers the problem of satellite multimodal image registration, in particular, optical and SAR (Synthetic Aperture Radar). Such algorithms are used in object detection, change detection, navigation. The paper considers algorithms for optical-to-SAR image registration in conditions of rough image pre-alignment. It is known that optical and SAR images have an inaccuracy in registration with georeference (up to 100 pixels with a spatial resolution of 10 m/pixel). This paper presents a neural network algorithm for optical-to-SAR image registration based on descriptors calculated for a uniform grid of points. First, algorithm find uniform grid of points for both images. Next, the neural network calculates descriptors for each point and finds descriptor distances between all possible pairs of points between optical and SAR images. Using obtained descriptor distances, a matching is made between the points on the optical and SAR images. The found matches between points are used to calculate the geometric transformation between images using the RANSAC algorithm with a limited (to combinations of translation, rotation and uniform scaling) affine transformation model. The accuracy of the proposed algorithm for optical-to-SAR image registration was investigated with different distortions in rotation and scale.

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Neural network recognition system for video transmitted through a binary symmetric channel

Neural network recognition system for video transmitted through a binary symmetric channel

Baboshina V.A., Orazaev A.R., Lyakhov P.A., Boyarskaya E.E.

Статья научная

The demand for transmitting video data is increasing annually, necessitating the use of high-quality equipment for reception and processing. The paper presents a neural network recognition system for videos transmitted via a binary symmetrical channel. The presence of digital noise in the data makes it challenging to recognize objects in videos even with advanced neural networks. The proposed system consists of a noise interference detector, a noise purification system based on an adaptive median filter, and a neural network for recognition. The experiment results demonstrate that the proposed system effectively reduces video noise and accurately identifies multiple objects. This versatility makes the system applicable in various fields such as medicine, life safety, physics, and chemistry. The direction of further research may be to improve the model neural network, increasing the database for training or using other noises for modeling.

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Neural network regularization in the problem of few-view computed tomography

Neural network regularization in the problem of few-view computed tomography

Yamaev Andrei Viktorovich, Chukalina Marina Valerievna, Nikolaev Dmitry Petrovich, Kochiev Leon Guramievich, Chulichkov Alexey Ivanovich

Статья научная

The computed tomography allows to reconstruct the inner morphological structure of an object without physical destructing. The accuracy of digital image reconstruction directly depends on the measurement conditions of tomographic projections, in particular, on the number of recorded projections. In medicine, to reduce the dose of the patient load there try to reduce the number of measured projections. However, in a few-view computed tomography, when we have a small number of projections, using standard reconstruction algorithms leads to the reconstructed images degradation. The main feature of our approach for few-view tomography is that algebraic reconstruction is being finalized by a neural network with keeping measured projection data because the additive result is in zero space of the forward projection operator. The final reconstruction presents the sum of the additive calculated with the neural network and the algebraic reconstruction. First is an element of zero space of the forward projection operator. The second is an element of orthogonal addition to the zero space. Last is the result of applying the algebraic reconstruction method to a few-angle sinogram. The dependency model between elements of zero space of forward projection operator and algebraic reconstruction is built with neural networks. It demonstrated that realization of the suggested approach allows achieving better reconstruction accuracy and better computation time than state-of-the-art approaches on test data from the Low Dose CT Challenge dataset without increasing reprojection error.

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Noise minimized high resolution digital holographic microscopy applied to surface topography

Noise minimized high resolution digital holographic microscopy applied to surface topography

Achimova Elena, Abaskin Vladimir, Claus Daniel, Pedrini Giancarlo, Shevkunov Igor, Katkovnik Vladimir

Статья научная

The topography of surface relief gratings was studied by digital holographic microscopy. The applicability of the method for quantitative measurements of surface microstructure at nanoscale was demonstrated. The method for wavefront reconstruction of surface relief from a digital hologram recorded in off-axis configuration was also applied. The main feature is noise filtration due to the presence of noise in the recorded intensity distribution and the use of all orders of the hologram. Reconstruction results proved a better effectiveness of our approach for topography studying of relief grating patterned on a ChG As2S3 - Se nanomultilayers in comparison with standard Fourier Transform and Atom Force Microscope methods.

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Noise reduction and mammography image segmentation optimization with novel QIMFT-SSA method

Noise reduction and mammography image segmentation optimization with novel QIMFT-SSA method

Soewondo Widiastuti, Haji Salih Omer, Eftekharian Mohsen, Marhoon Haydar A., Dorofeev Aleksei Evgenievich, Jawad Mohammed Abed, Jabbar Abdullah Hasan, Jalil Abduladheem Turki

Статья научная

Breast cancer is one of the most dreaded diseases that affects women worldwide and has led to many deaths. Early detection of breast masses prolongs life expectancy in women and hence the development of an automated system for breast masses supports radiologists for accurate diagnosis. In fact, providing an optimal approach with the highest speed and more accuracy is an approach provided by computer-aided design techniques to determine the exact area of breast tumors to use a decision support management system as an assistant to physicians. This study proposes an optimal approach to noise reduction in mammographic images and to identify salt and pepper, Gaussian, Poisson and impact noises to determine the exact mass detection operation after these noise reduction. It therefore offers a method for noise reduction operations called Quantum Inverse MFT Filtering and a method for precision mass segmentation called the Optimal Social Spider Algorithm (SSA) in mammographic images. The hybrid approach called QIMFT-SSA is evaluated in terms of criteria compared to previous methods such as peak Signal-to-Noise Ratio (PSNR) and Mean-Squared Error (MSE) in noise reduction and accuracy of detection for mass area recognition. The proposed method presents more performance of noise reduction and segmentation in comparison to state-of-arts methods. supported the work.

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Non-Markovian decoherence of a two-level system in a Lorentzian Bosonic reservoir and a stochastic environment with finite correlation time

Non-Markovian decoherence of a two-level system in a Lorentzian Bosonic reservoir and a stochastic environment with finite correlation time

Mikhailov Victor Alexandrovich, Troshkin Nikolay Vyacheslavovich

Статья научная

In this paper we investigate non-Markovian evolution of a two-level system (qubit) in a bosonic bath under influence of an external classical fluctuating environment. The interaction with the bath has the Lorentzian spectral density, and the fluctuating environment (stochastic field) is represented by a set of Ornstein-Uhlenbeck processes. Each of the subenvironments of the composite environment is able to induce non-Markovian dynamics of the two-level system. By means of the numerically exact method of hierarchical equations of motion, we study steady states of the two-level system, evolution of the reduced density matrix and the equilibrium emission spectra in dependence on the frequency cutoffs and the coupling strengths of the subenvironments. Additionally, we investigate the impact of the rotating wave approximation (RWA) for the interaction with the bath on accuracy of the results.

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Non-stability of MM-wave radar imaging of the car in dynamics

Non-stability of MM-wave radar imaging of the car in dynamics

Minin I.V., Minin O.V.

Статья научная

One of the important requirement to the radioimages formed by the systems of the automatic vehicle classification and identification or automobile imaging radar is the quality of forming radioimages. In ideals the quality of radioimages can be equal to optical images, because car radar must not only to determinate availability of the obstacle, but to recognized and identificated it too. The conducted theoretical and first experimental investigations have shown that the radar images of obstacles formed by radar are characterized by the non-stability of the radioimages, which can not permit to identificated and recognized the targets. Unsteadies of the car radar imaging in dynamics are analyzing and discussed in this paper. The methods of the decreasing of the radar imaging unsteadies are discussed.

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Novel approach of simplification detected contours on X-ray medical images

Novel approach of simplification detected contours on X-ray medical images

Al-Temimi Ammar Mudheher Sadeq, Pilidi Vladimir Stavrovich, Ibraheem Murooj Khalid Ibraheem

Статья научная

This paper gives description of a method for simplifying the number of points representing detected contours of the bones on digital X-ray images. Such simplification permits simplify way for correction the location of these points in the cases, if the analyzed image has poor quality, and to reduces the time of analysis it to get the reference lines and angles for diagnosis purposes of the area under investigation.

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