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Multi-affine registration using local polynomial expansion

Journal of Zhejiang University-Science C(Computers and Electronics) 2010年第7期11卷 495-503页

作者： Yuan-jun W'ANG Guimar FARNEBACK Carl-Fredrik WESTIN Digital Medical Research Center Shanghai Medical School Fudan University Shanghai 200032 China Lab of Mathematics in Imaging Brigham and Women's Hospital Harvard Medical School Boston 02115 MA USA

In this paper, we present a non-linear (multi-affine) registration algorithm based on a local polynomial expansion model. We generalize previous work using a quadratic polynomial expansion model. Local affine models are estimated using this generalized model analytically and iteratively, and combined to a deformable registration algorithm. Experiments show that the affine parameter calculations derived from this quadratic model are more accurate than using a linear model. Experiments further indicate that the multi-affine deformable registration method can handle complex non-linear deformation fields necessary for deformable registration, and a faster convergent rate is verified from our comparison experiment.

关键词： Deformable registration polynomial expansion Least squares Multi-affine Normalized convolution

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Super-resolution reconstruction of astronomical images using time-scale adaptive normalized convolution

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Chinese Journal of Aeronautics 2018年第8期31卷 1752-1763页

作者： Rui GUO Xiaoping SHI Yi ZHU Ting YU Control and Simulation Center Harbin Institute of Technology Harbin 150080 China Tianjin Branch of China Petroleum Pipeline Engineering Company Limited Tianjin 300457 China

In this work, we describe a new multiframe Super-Resolution（SR） framework based on time-scale adaptive Normalized Convolution（NC）, and apply it to astronomical images. The method mainly uses the conceptual basis of NC where each neighborhood of a signal is expressed in terms of the corresponding subspace expanded by the chosen polynomial basis function. Instead of the conventional NC, the introduced spatially adaptive filtering kernel is utilized as the applicability function of shape-adaptive NC, which fits the local image structure information including shape and orientation. This makes it possible to obtain image patches with the same modality,which are collected for polynomial expansion to maximize the signal-to-noise ratio and suppress aliasing artifacts across lines and edges. The robust signal certainty takes the confidence value at each point into account before a local polynomial expansion to minimize the influence of ***, the temporal scale applicability is considered to omit accurate motion estimation since it is easy to result in annoying registration errors in real astronomical applications. Excellent SR reconstruction capability of the time-scale adaptive NC is demonstrated through fundamental experiments on both synthetic images and real astronomical images when compared with other SR reconstruction methods.

关键词： Astronomical image processing Motion estimation Normalized Convolution(NC) polynomial expansion Signal-to-noise ratio Super-Resolution (SR)reconstruction

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An Enhanced Jacobi Precoder for Downlink Massive MIMO Systems

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Computers, Materials & Continua 2021年第7期68卷 137-148页

作者： Park Chan-Yeob Hyun-Ro Jae Jun-Yong Jang Song Hyoung-Kyu Department of Information and Communication Engineering and Convergence Engineering for Intelligent DroneSejong UniversitySeoul05006Korea

Linear precoding methods such as zero-forcing(ZF)are near optimal for downlink massive multi-user multiple input multiple output(MIMO)systems due to their asymptotic channel ***,as the number of users increases,the computational complexity of obtaining the inverse matrix of the gram matrix *** the computational complexity problem,this paper proposes an improved Jacobi(JC)-based precoder to improve error performance of the conventional JC in the downlink massive MIMO *** conventional JC was studied for solving the high computational complexity of the ZF algorithm and was able to achieve parallel ***,the conventional JC has poor error performance when the number of users increases,which means that the diagonal dominance component of the gram matrix is *** this paper,the preconditioning method is proposed to improve the error *** executing the JC,the condition number of the linear equation and spectrum radius of the iteration matrix are reduced by multiplying the preconditioning matrix of the linear *** further reduce the condition number of the linear equation,this paper proposes a polynomial expansion precondition matrix that supplements diagonal *** results show that the proposed method provides better performance than other iterative methods and has similar performance to the ZF.

关键词： Jacobi(JC) massive MIMO precondition polynomial expansion linear precoding

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Inequalities for Higher Order Riesz-Laguerre Transforms

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Advances in Pure Mathematics 2022年第4期12卷 332-347页

作者： Ammar Elobied Abdelgader Siddig Sabir Widatalla Department of Physics and Mathematics Faculty of Education Sinnar University Sinnar Sudan Department of Mathematics University of Albutana Ruffa’a Sudan Department of Mathematics Faculty of Science University of Tabuk Tabuk Saudi Arabia

The weak-type (1, 1) boundedness of the higher order Riesz-Laguerre transforms associated with the Laguerre polynomials and the boundedness for the Riesz-Laguerre transforms of order 2 are considered. We discuss a polynomial weight w that makes the Riesz-Laguerre transforms of order greater than or equal to 2 continuous from L1 (wdμα) into L1,∞ (dμα), under specific value α, where μα is the Laguerre measure.

关键词： Riesz-Laguerre Transform polynomial expansion Weak-Type Stein Complex Interpolation Theorem Calderon-Zygmund-Type Riesz-Gauss Transform

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