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Eurasian Journal of Mathematical and Computer Applications最新文献

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CATADIOPTRIC IMAGE DENOISING: A SPATIALLY VARIANT APPROACH 反射图像去噪:一种空间变异方法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-82-98
Tran Dang Khoa Phan, C. Pham
{"title":"CATADIOPTRIC IMAGE DENOISING: A SPATIALLY VARIANT APPROACH","authors":"Tran Dang Khoa Phan, C. Pham","doi":"10.32523/2306-6172-2023-11-2-82-98","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-82-98","url":null,"abstract":"A catadioptric camera uses a conventional camera in conjunction with a quadratic mirror for capturing an omnidirectional field of view in real-time. The resolution of catadiop- tric images, however, is non-uniform due to the mirror curvature. A widely used approach to processing catadioptric images is to apply classical methods to them directly or via a trans- formed domain. The aim of this work is to demonstrate that for the task of image denoising, an appropriate approach is to modify classical methods so that they become spatially adaptive with the non-uniform resolution of catadioptric images. To this end, we modify the famous Rudin-Osher-Fatemi (ROF) denoising model by introducing a space-variant regularizer. The proposed model comprises a spatially varying total variation term, which adjusts the edge- preservation and the noise reduction abilities in the whole image domain. We carry out an empirical evaluation of the performance of the proposed model compared with the widely used methods for processing catadioptric images. The results reveal that, despite its simplic- ity, our model improves the performance of the original method in terms of both quantitative and qualitative aspects.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698689","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}
引用次数: 0
GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY 中性时滞下剪切梁模型的全局适定性和指数衰减
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-67-81
S. Loucif, R. Guefaifia, S. Zitouni, H. Khochemane
{"title":"GLOBAL WELL-POSEDNESS AND EXPONENTIAL DECAY OF SHEAR BEAM MODEL SUBJECT TO A NEUTRAL DELAY","authors":"S. Loucif, R. Guefaifia, S. Zitouni, H. Khochemane","doi":"10.32523/2306-6172-2023-11-2-67-81","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-67-81","url":null,"abstract":"In this paper, we consider a one-dimensional system known as Shear beam model (no rotary inertia) where the transverse displacement equation is subject to a distributed delay of neutral type. Under some assumptions on the kernel h, we first achieved the global well- posedness of the system by using the classical Faedo-Galerkin approximations along with two a priori estimates. Next, we find the energy expression and by using technique of Lyapunov functional we demonstrate, although delays are known to be of a destructive nature in the general case, that this system is exponentially stable regardless any relationship between coefficients of the system.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698674","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}
引用次数: 0
AN ALTERNATING DIRECTION METHOD OF MULTIPLIERS WITH THE CONDITIONAL GRADIENT TOTAL VARIATION METHOD FOR LINEAR INVERSE PROBLEMS 线性反问题的乘子交替方向法与条件梯度全变分法
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-4-39
A. Bentbib, A. Bouhamidi, K. Kreit
{"title":"AN ALTERNATING DIRECTION METHOD OF MULTIPLIERS WITH THE CONDITIONAL GRADIENT TOTAL VARIATION METHOD FOR LINEAR INVERSE PROBLEMS","authors":"A. Bentbib, A. Bouhamidi, K. Kreit","doi":"10.32523/2306-6172-2023-11-2-4-39","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-4-39","url":null,"abstract":"Abstract In this paper, we study the ill-posed problem using total variation regularization. To solve such a problem, we use an alternating direction method of multipliers to split our problem into two sub-problems. The novelty of our paper is in the use of the conditional gradient total variation method (CGTV) we have recently introduced. The second split- ting sub-problem is solved by transforming the obtained optimization problem to a general Sylvester matrix equation and then an orthogonal projection method is used to solve the obtained matrix equation. We give proof of the convergence of this method. Some numerical examples and applications to image restoration are given to illustrate the effectiveness of the proposed method.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698624","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}
引用次数: 0
THERMODYNAMICS OF DNA-RNA RENATURATION FOR THE ISING MODEL WITH AN EXTERNAL FIELD 外场作用下dna-rna再生模型的热力学
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-57-66
N. Khatamov
{"title":"THERMODYNAMICS OF DNA-RNA RENATURATION FOR THE ISING MODEL WITH AN EXTERNAL FIELD","authors":"N. Khatamov","doi":"10.32523/2306-6172-2023-11-2-57-66","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-57-66","url":null,"abstract":"The Ising model is considered on a set of DNA together with RNA. DNA belongs to a mammal or bird, while RNA belongs to a virus. Here we use the methods of Gibbs measure theory to study the thermodynamic properties of this model, and these measures describe the phases (states) of the DNA-RNA system. Using a Markov chain (corresponding to Gibbs measures), we set the conditions (in terms of temperature) for DNA-RNA renaturation.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698634","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}
引用次数: 0
AN INVERSE PROBLEM FOR A NONLINEAR WAVE EQUATION WITH DAMPING 带阻尼的非线性波动方程的反问题
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2023-01-01 DOI: 10.32523/2306-6172-2023-11-2-99-115
V. Romanov
{"title":"AN INVERSE PROBLEM FOR A NONLINEAR WAVE EQUATION WITH DAMPING","authors":"V. Romanov","doi":"10.32523/2306-6172-2023-11-2-99-115","DOIUrl":"https://doi.org/10.32523/2306-6172-2023-11-2-99-115","url":null,"abstract":"We consider an inverse problem of recovering two coefficients in a semi-linear wave equation. This equation contains a damping term and a term with a quadratic nonlinearity. The inverse problem consists in recovering coefficients under these terms as function of the space variable x ∈ R 3 . A forward problem for the equation with a point source is studied. As a result, the inverse problem reduce to two problems, one of them is the well known problem of X-ray tomography, the other one is the problem of the integral geometry with a with a special weight function. The latter problem is studied and a stability estimate for the solution of this problem is stated.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69698726","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}
引用次数: 0
ELIMINATION OF THE GROUND SURFACE TOPOGRAPHIC EFFECT IN THE 2D INVERSION RESULTS OF ELECTRICAL RESISTIVITY TOMOGRAPHY DATA 电阻率层析成像二维反演结果中地表地形效应的消除
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-84-104
Turarova Marzhan, Mirgalikyzy Tolkyn, Mukanova Balgaisha, M. Igor
{"title":"ELIMINATION OF THE GROUND SURFACE TOPOGRAPHIC EFFECT IN THE 2D INVERSION RESULTS OF ELECTRICAL RESISTIVITY TOMOGRAPHY DATA","authors":"Turarova Marzhan, Mirgalikyzy Tolkyn, Mukanova Balgaisha, M. Igor","doi":"10.32523/2306-6172-2022-10-3-84-104","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-84-104","url":null,"abstract":"This paper presents the results of a study that was conducted on the development of an alternative topographic effect elimination method at the 2D data inversion. Today, the problem of the ground surface topographic effect is being solved by correcting electrical resistivity tomography data and including topography in the inversion model meshes. In this paper, we studied the effectiveness of eliminating the ground surface topographic effect using inversion methods that form the basis of most 2D and 3D inversion programs. We then developed and tested a ground surface topographic effect elimination method by cor- recting apparent resistivity values for 2D inversion. We used the integral equation method to model apparent resistivity curves. Applying the developed ground surface topographic effect elimination method allowed obtaining more accurate inversion results. Application of the proposed method in geophysical surveys will more accurately exclude the topographic effect at the inversion of the observed data.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42024781","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}
引用次数: 1
A STUDY ON A GENE THERAPY MODEL FOR THE COMBINED TREATMENT OF CANCER 癌症联合治疗的基因治疗模型研究
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-15-36
Dehingia Kaushik, Kumar Sarmah Hemanta, Das Anusmita, P. Choonkil, Hosseini Kamyar
{"title":"A STUDY ON A GENE THERAPY MODEL FOR THE COMBINED TREATMENT OF CANCER","authors":"Dehingia Kaushik, Kumar Sarmah Hemanta, Das Anusmita, P. Choonkil, Hosseini Kamyar","doi":"10.32523/2306-6172-2022-10-3-15-36","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-15-36","url":null,"abstract":"This paper addresses a gene therapy model under different cancer treatment com- binations, considering effector cell and cancer cell populations. A gene therapy model has been modified by introducing radiotherapy and mAb drug treatment, respectively. The qualitative behaviour of the model under gene therapy, radio-genic therapy, and mAb-gene therapy is ex- amined at each of the equilibrium points of the model. Analytical findings have been verified numerically. In addition, the system’s dynamics have been investigated for different values of the treatment parameters. Our results reveal that the optimum level of immunotherapy can eradicate cancer cells from the body for the gene therapy model. Besides these findings, we have also found that combining radiotherapy, immunotherapy, and gene therapy could be a better cancer treatment strategy. For mAb-gene therapy, two scenarios have been presented in which the applied treatment can suppress cancer growth to zero.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46389152","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}
引用次数: 0
AN ANALYTIC INVERSION FORMULA FOR A RADON TRANSFORM ON A CLASS OF CONES 一类锥体上radon变换的解析反演公式
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-73-83
Cebeiro Javier, Nguyen Mai K., Rollet Genevi`eve, Dumas Laurent
{"title":"AN ANALYTIC INVERSION FORMULA FOR A RADON TRANSFORM ON A CLASS OF CONES","authors":"Cebeiro Javier, Nguyen Mai K., Rollet Genevi`eve, Dumas Laurent","doi":"10.32523/2306-6172-2022-10-3-73-83","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-73-83","url":null,"abstract":"Since the works of Radon and Cormack on the classical Radon transform on straight lines, several generalizations involving integrations on conical surfaces have been studied. In this article, we introduce a new family of conical surfaces with arbitrary vertices of the space and axes through the origin and study the corresponding Radon transform. We derive its analytical inversion in two and three dimensions. Numerical simulations are carried out for the two-dimensional case.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46302554","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}
引用次数: 0
DEEP LEARNING AND SUCCESSIVE ITERATIONS FOR AN INVERSE PROBLEM OF THE VARIABLE DENSITY RECONSTRUCTION BY THE BOUNDARY CONTROL METHOD 基于边界控制方法的变密度重构逆问题的深度学习与连续迭代
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-37-57
Klibanov Michael V, Timonov Alexandre
{"title":"DEEP LEARNING AND SUCCESSIVE ITERATIONS FOR AN INVERSE PROBLEM OF THE VARIABLE DENSITY RECONSTRUCTION BY THE BOUNDARY CONTROL METHOD","authors":"Klibanov Michael V, Timonov Alexandre","doi":"10.32523/2306-6172-2022-10-3-37-57","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-37-57","url":null,"abstract":"For the first time, two approaches, the deep learning and successive iterations, are proposed for use and implemented for enhancing the images reconstructed by the boundary control method. The construction of successive iterations is based on the reduction of a nonlinear inverse problem for a time-domain wave equation to a linear integral equation of the first kind. The computational effectiveness of the numerical techniques is demonstrated in the numerical experiments in two and three dimensions.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41872566","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}
引用次数: 0
SOLVABILITY OF THE SOLUTION OF CLASS OF FRACTIONAL FUJITA PROBLEMS BY THE METHOD OF ENERGY INEQUALITY 用能量不等式方法求解一类分数阶FUJITA问题的可解性
IF 0.5
Eurasian Journal of Mathematical and Computer Applications Pub Date : 2022-09-27 DOI: 10.32523/2306-6172-2022-10-3-4-14
Zainouba Chebana, Taki-Eddine Oussaeif, Leila Benoua, A. Ouannas
{"title":"SOLVABILITY OF THE SOLUTION OF CLASS OF FRACTIONAL FUJITA PROBLEMS BY THE METHOD OF ENERGY INEQUALITY","authors":"Zainouba Chebana, Taki-Eddine Oussaeif, Leila Benoua, A. Ouannas","doi":"10.32523/2306-6172-2022-10-3-4-14","DOIUrl":"https://doi.org/10.32523/2306-6172-2022-10-3-4-14","url":null,"abstract":"In this paper, we study the existence and uniqueness of the strong solutions for a class of fractional Fujita problem with initial condition and Dirichlet boundary conditions. By using a priori estimate and the density of the density of the range of the fractional operator generated by the problem considered.","PeriodicalId":42910,"journal":{"name":"Eurasian Journal of Mathematical and Computer Applications","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2022-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49448140","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}
引用次数: 0
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