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A NONLOCAL KRONECKER-BASIS-REPRESENTATION METHOD FOR LOW-DOSE CT SINOGRAM RECOVERY
《Journal of Computational Mathematics》2024年第4期1080-1108,共29页Jian Lu Huaxuan Hu Yuru Zou Zhaosong Lu Xiaoxia Liu Keke Zu Lin Li 
supported by the National Natural Science Foundation of China(Grant Nos.U21A20455,61972265,11871348);by the Natural Science Foundation of Guangdong Province of China(Grant No.2020B1515310008);by the Department of Education of Guangdong Province of China(Grant No.2019KZDZX1007);by the PolyU internal Grant No.P0040271;by the Pazhou Laboratory,Guangzhou,China(Grant No.PZL2021KF0017);by the Guangdong Key Laboratory of Intelligent Information Processing,China.
Low-dose computed tomography(LDCT)contains the mixed noise of Poisson and Gaus-sian,which makes the image reconstruction a challenging task.In order to describe the statistical characteristics of the mixed noise,we ad...
关键词：Low-dose computed tomography Kronecker-basis-representation Low-rank imation.Noise-generating-mechanism 
Optic Axes and Elliptic Cone Equation in Coordinate-Invariant Treatment
《Journal of Modern Physics》2022年第6期1001-1043,共43页Alfred Wünsche 
We derive for crystal optics in coordinate-invariant way the cone approximation of refraction vectors in the neighborhood of optic axes and determine its invariants and eigenvectors. It proved to describe an elliptic ...
关键词：Permittivity Tensor Principal Permittivities Three-Dimensional Operator of Wave Equation Operator Invariants Refraction Vector Ray Vector Cone Ap-proximation in Neighborhood of Optic Axis Conical Refraction 
A note on semidefinite programming relaxations for polynomial optimization over a single sphere被引量：7
《Science China Mathematics》2016年第8期1543-1560,共18页HU Jiang JIANG Bo LIU Xin WEN ZaiWen 
supported by National Natural Science Foundation of China (Grant Nos. 11401364, 11322109, 11331012, 11471325 and 11461161005);the National High Technology Research and Development Program of China (863 Program) (Grant No. 2013AA122902);the National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences;National Basic Research Program of China (973 Program) (Grant No. 2015CB856002)
We study two instances of polynomial optimization problem over a single sphere. The first problem is to compute the best rank-1 tensor approximation. We show the equivalence between two recent semidefinite relaxations...
关键词：polynomial optimization over a single sphere semidefinite programming best rank-1 tensor ap-proximation Bose-Einstein condensates 
KY FAN TYPE BEST APPROXIMATION THEOREM FOR A CLASS OF FACTORIZABLE MULTIFUNCTIONS
《Analysis in Theory and Applications》2012年第2期101-110,共10页Hemant Kumar Nashine Zoran D. Mitrovic 
An existence result on Ky Fan type best approximation is proved. For this pur- pose, a class of factorizable multifunctions and the other one being a demicontinuous, rela- tive almost quasi-convex, onto function on an...
关键词：Almost affine almost quasi convex approximately weakly compact best ap-proximation demicontinuous map locally convex space relative almost quasiconvex Kakutani factorizable multifunction upper semicontinuous map 
SOME RESULTS ABOUT BEST COAPPROXIMATION IN L^P(S, X)
《Analysis in Theory and Applications》2010年第1期69-75,共7页M. R. Haddadi N. Hejazjpoor H. Mazaheri 
As a counterpart to best approximation in normed linear spaces, the best coapproximation was introduced by Francbetti and Furl. In this paper, we shall consider the relation between coproximinality M in X and L^P（S,M...
关键词：coproximinal subspace cochebyshev subspace reflexive subspace 
τ-CHEBYSHEV AND τ-COCHEBYSHEV SUBPSACES OF BANACH SPACES
《Analysis in Theory and Applications》2006年第2期141-145,共5页H.Mazaheri 
The concepts of quasi-Chebyshev and weakly-Chebyshev and σ-Chebyshev were defined [3 - 7], andas a counterpart to best approximation in normed linear spaces, best coapprozimation was introduced by Franchetti and Furi...
关键词：best approximation best coapproximation τ-Chebyshev subspace τ-cochebyshev subspace compact set weakly compact set 
HOW FAST THE ALGEBRAIC APPROX-IMATION CAN BE?
《Chinese Science Bulletin》1986年第3期215-216,共2页洪加威 
Suppose that we want to compute any number by means of operations like +, -, *, /, and suppose that in one step we can get the exact value of the operation performed. Then the number t(n) of the steps needed to obtain...
关键词：compute STEPS SUPPOSE approximate operations exact FAST umber INTEGER letter 
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