function?u???=?ARTReconstruction（AdrelaxParamnumIterARTu）
%?u???=?ARTReconstruction（AdrelaxParamnumIterARTu）
%
%?Algebraic?reconstruction?technique?also?known?as?Kaczmarz?method
%
%?Inputs:
%?
%?A?????????????=?System?matrix?or?Jacobian?matrix?nr?x?nc
%???????????????=?d?data?nr?x?1
%?relaxParam????=?relaxation?parameter?（between?0?and?1）.?Choose?0.1?to
%?remove?noise?and?0.9?to?get?a?closer?fit?of?the?data
%?numIterART????=?number?of?iterations
%?u?????????????=?initial?guess?of?the?solution?image?nc?x?1.?Initialize
%?as?zeros（nc1）?
%
%?Outputs:
%
%?u?????????????=?solution?image?nc?x?1
%
%
%?Code?downloaded?from?the?repository
%?https://github.com/HGGM-LIM/Efficient-ART-Split-Bregman-Reconstruction
%
%?If?you?use?this?code?please?cite?Chamorro-Servent?et?al.?Use?of?Split
%?Bregman?denoising?for?iterative?reconstruction?in?fluorescence?diffuse
%?optical?tomography.?J?Biomed?Opt?18（7）:076016?2013.
%?http://dx.doi.org/10.1117/1.JBO.18.7.076016
%
%?Juan?FPJ?Abascal?Judit?Chamorro-Servent?Juan?Aguirre
%?Departamento?de?Bioingenieria?e?Ingenieria?Aeroespacial
%?Universidad?Carlos?III?de?Madrid?Madrid?Spain
%?juanabascal78@gmail.com?juchamser@gmail.com?desco@hggm.es

%?Norm?of?rows
Anorm???????????????=?sum（A.*A2）;

%?Loop?across?iterations
for?it?=?1:numIterART
????%?Loop?across?rows
????for?ir?=?1:size（A1）
????????num?????????=?d（ir）-A（ir:）*u;
????????u???????????=?u?+?（relaxParam*num/Anorm（ir））*A（ir:）‘;
????end?%?ir
end?%?it

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----
?????目錄???????????0??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\
?????文件???????19676??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\ART-SBFormula.jpg
?????文件????????1517??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\ARTReconstruction.m
?????文件????????3680??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\ARTReconstruction_Fast.m
?????文件????21271523??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\DataRed.mat
?????文件????????7937??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\Demo_ART_SB_Reconstruction.m
?????文件???????35141??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\LICENSE
?????文件???????85492??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\ModelRecImages.jpg
?????文件????????1865??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\Plot2DMapsGridSolution.m
?????文件????????3090??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\README.md
?????文件????????4783??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\TV_SB_denoising_2D.m
?????文件????????6006??2017-04-24?20:50??Efficient-ART-Split-Bregman-Reconstruction-master\TV_SB_denoising_3D.m