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15th International Conference on Advanced Concepts for Intelligent Vision Systems (ACIVS)

作者： Zhang, Qiang Wu, Yan Liu, Ming Jiao, Licheng Xidian Univ Sch Elect Engn Xian 710071 Peoples R China Xidian Univ Minist Educ China Key Lab Intelligent Percept & Image Understanding Xian 710071 Peoples R China

ISBN: (纸本)9783319028958;9783319028941

In this paper, we address the problem of line triangulation, which is to find the position of a line in space given its three projections taken with cameras with known camera matrices. Because of measurement error in line extraction, the problem becomes difficult so that it is necessary to estimate a 3D line to optimally fit measured lines. In this work, the normal errors of measured line are presented to describe the measurement error and based on their statistical property a new geometric-distance optimality criterion is constructed. Furthermore, a simple iterative algorithm is proposed to obtain suboptimal solution of the optimality criterion, which ensures that the solution satisfies the trifocal tensor constraint. Experiments show that our iterative algorithm can achieve the estimation accuracy comparable with the Gold Standard algorithm, but its computational load is substantially reduced.

关键词： Line triangulation Normal error iterative algorithm Suboptimal solution

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A New iterative algorithm for Computing the Optimal Exponent of Correct Decoding for Discrete Memoryless Channels

A New Iterative Algorithm for Computing the Optimal Exponent...

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IEEE International Symposium on Information Theory (ISIT)

作者： Oohama, Yasutada Jitsumatsu, Yutaka Univ Electrocommun Dept Commun Engn & Informat Chofu Tokyo 182 Japan Kyushu Univ Dept Informat Fukuoka 812 Japan

ISBN: (纸本)9781467377041

For a discrete memoryless channel, a lower bound for the correct decoding probability exponent was derived by Arimoto. He also gave an iterative algorithm for computing the exponent. Subsequently, Dueck and Korner determined the optimal exponent function of the correct decoding probability. In this paper, a new iterative algorithm that computes Dueck and Korner's exponent is presented.

关键词： discrete memoryless channel strong converse correct decoding probability exponent iterative algorithm

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VLC indoor positioning system based on iterative algorithm

VLC indoor positioning system based on iterative algorithm

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International Conference on Optical Instruments and Technology - Optoelectronic Devices and Optical Signal Processing

作者： Wu Duobo Feng Lihui Yang Aiying Beijing Inst Technol Sch Optoelect Beijing 100081 Peoples R China

ISBN: (纸本)9781628418002

Indoor Visible Light Communication(VLC) positioning is an new indoor positioning method. We discuss the method to realize 3D positioning and the how to optimize it. Build a simplified 3D fingerprint database in the condition of linear light intensity attenuation model and use it for 3D positioning. Furthermore we combined fingerprint database method with the iterative algorithm of Lambert distribution to calculate Z coordinates in order to improve the accuracy. Simulations shows that, in the subspace of 1m*1m*1m, the measurement error of fingerprint database method in X-Y plane is 4.1cm, while z direction measurement error is 5.4cm. By contrast, measurement error of 3D positioning method based on iterative algorithm reduces by 10%.

关键词： visible light communication 3D positioning iterative algorithm

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An iterative algorithm for a new system of set-valued variational inclusions with H-monotone mappings

An iterative algorithm for a new system of set-valued variat...

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International Computer Conference on Wavelet Active Media Technology and Information Processing

作者： Yang, Yong Qin Jin, Mao Ming Li, Jian Ping Chongqin Jiaotong Univ Chongqing 400074 Peoples R China Logist Engn Univ Chongqing 400016 Peoples R China Fuling Normal Univ Dept Math Chongqing 408003 Peoples R China Univ Elect Sci & Technol China Sch Comp Sci Int Ctr Wavelet Anal & Applicat Chengdu 610054 Peoples R China

ISBN: (纸本)9812700420

In this paper, we introduce and study a new system of set-valued variational inclusions involving H-monotone mappings in Hilbert spaces. By using the resolvent operator method associated with H-monotone mappings, we construct a new iterative algorithm approximating the solution of this system of set-valued variational inclusion and discuss the convergence analysis of the algorithm.

关键词： H-monotone mapping system of set-valued variational inclusion resolvent operator technique iterative algorithm convergence

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iterative algorithm of common solutions for a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping

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FIXED POINT THEORY AND APPLICATIONS 2014年第1期2014卷 54-54页

作者： Ke, Yifen Ma, Changfeng Fujian Normal Univ Sch Math & Comp Sci Fuzhou 350007 Peoples R China

In this paper, a new iterative algorithm is proposed for finding a common solution to a constrained convex minimization problem, a quasi-variational inclusion problem and the fixed point problem of a strictly pseudo-contractive mapping in a real Hilbert space. It is proved that the sequence generated by the proposed algorithm converges strongly to a common solution of the three above described problems. By applying this result to some special cases, several interesting results can be obtained.

关键词： iterative algorithm constrained convex minimization quasi-variational inclusion strictly pseudo-contractive fixed point convergence analysis

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iterative algorithm and theoretical treatment of existence of solution for (k, z)-Riemann-Liouville fractional integral equations

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JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS 2022年第3期13卷 39-39页

作者： Das, Anupam Rabbani, Mohsen Mohiuddine, S. A. Deuri, Bhuban Chandra Cotton Univ Dept Math Gauhati 781001 Assam India Islamic Azad Univ Dept Math Sari Branch Sari Iran King Abdulaziz Univ Fac Appl Studies Dept Gen Required Courses Math Jeddah 21589 Saudi Arabia King Abdulaziz Univ Dept Math Operator Theory & Applicat Res Grp Fac Sci Jeddah 21589 Saudi Arabia Rajiv Gandhi Univ Dept Math Rono Hills Doimukh 791112 Arunachal Prade India

In our discussion, existence of solution for fractional integral equation (FIE) involving (k, z)-Riemann-Liouville fractional integral is studied. To achieve this goal, first using shifting distance functions, we establish a new generalization of Dorbo-type fixed point theorem, in short, we shall write DFPT, and then we apply our DFPT on aforementioned FIE to establish the existence result. Also, our results will be verified by considering a suitable example. Moreover, an approximate solution of the example is given via a convergent iterative algorithm constructed by modified homotopy perturbation (MHP) method with a high accuracy.

关键词： Darbo-type theorem Measure of noncompactness (MNC) Continuous function Fractional integral equation Banach space iterative algorithm Modified homotopy perturbation

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iterative algorithm for a family multivalued mapping in Banach spaces

Iterative algorithm for a family multivalued mapping in Bana...

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2011 13th IEEE Joint International Computer Science and Information Technology Conference(JICSIT 2011)

作者： Zhanfei Zuo and Feixiang Chen Department of Mathematics and Statistics Chongqing Three Gorges University Wanzhou 404000, P.R. China

In this paper, we consider the convergence of iterative algorithm for a family of multivalued nonexpansive mapping, under some different conditions, the Noor multivalued algorithm converge to the common fixed point of... 详细信息

关键词： iterative algorithm Multivalued nonexpansive mapping Convergence theorems Fixed points

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Surface Reconstruction Based on Plenoptic Image with Convolution-Based iterative algorithm

Surface Reconstruction Based on Plenoptic Image with Convolu...

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作者： Yimin Fu Auburn University

学位级别：硕士

Plenoptic imaging is a revolutionary photographic technique which has been brought to public awareness recently. It makes post-refocusing possible by capturing both spatial and directional information of light. In order to do that, a micro-lens is placed before the imaging plane of the camera. Each micro-lens records angular information from its location at the cost of spatial resolution. A focal stack is generated by stacking up refocused images of the same object. By adjusting the depth at which each image focuses, it models the light ray around the nominal focal plane of the camera in 3D. The main purpose of this thesis is to reconstruct the surface based on focal stacks. There were previous attempts to accomplish the same task, including the gradient method and the stereo method; however, they are unable to reconstruct a smooth object. Later research proposed a deconvolution method that can address the smooth object problem. The thesis demonstrates the limitation of the deconvolution method and proposes an iterative method to more precisely reconstruct the surface of the object. In order to implement the iterative algorithm, the thesis also mathematically models the process of image blur as the vectorized object multiplied with a convolution matrix which represents the point-spread function (PSF). The PSF describes the spread of light from the object across the entire focal stack. Various results of estimating depth from different methods are presented to compare the performance of each algorithm.

关键词： Light-field deconvolution distance estimation 3D-volume reconstruction iterative algorithm

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iterative algorithm TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES

ITERATIVE ALGORITHM TO COMMON FIXED POINTS OF INFINITE NONEX...

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2008 International Conference on Machine Learning and Cybernetics(2008机器学习与控制论国际会议)

作者： WEI LI LI-LING DUAN School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang 050061 China

Finding iterative algorithms to approximate fixed points for nonexpansive mappings is a very active topic in a number of mathematical and engineering areas, in particular, in image recovery and signal processing. Considerable research efforts have been devoted to the study of this area in recent years. By now, there already exist some algorithms, but they are not quite enough to deal with problems of finding common fixed points of infinite nonexpansive mappings. In this paper, a more general form of iterative algorithm is introduced which is proved to be strongly convergent to common fixed point of infinite nonexpansive mappings in a real strictly convex and uniformly smooth Banach space by using some new techniques.

关键词： Nonezpansive mappings fized points iterative algorithm Banach space

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An iterative algorithm Using a Neural Network for Nonlinear Traveltime Tomography

An Iterative Algorithm Using a Neural Network for Nonlinear ...

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1996 3rd International Conference on Signal Processing(ICSP’96)

作者： Ma Ning Wang Yanping Hu Zhengyi Bao Zongdi College of Electronic Information Wuhan University

ISBN: (纸本)0780329120

＜正＞Traveltime tomography based on bending ray paths is a complex nonlinear *** paper proposes a new iterative approach for this ***,a trial slowness model is ***,find the ray paths with the least traveltime by searching the shortest path in a directed ***,use a neural network proposed by Tank and Hopfielf（called as TH net） to solve a damped least-squares problem with some constraints. The solution for it can give the best least-squares fit to the measured traveltime *** paper describes how to determine the parameters for the net in *** fourth step is to determine whether or not the iteration should *** results produced by the algorithm are *** the last section of this paper,some conclusions are drawn.

关键词： signal reconstruction acoustic tomography geophysical signal processing seismology acoustic signal processing least mean squares methods damping Hopfield neural nets iterative methods nonlinear acoustics iterative algorithm nonlinear traveltime tomography ray paths bending nonlinear problem slowness model directed graph Hopfield neural network damped least squares problem constraints least-squares fit measured traveltime data neural net parameters experimental results acoustic wave speed distribution seismic wave speed distribution electromagnetic wave speed signal reconstruction

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