Mercurial > hg > smallbox
comparison Problems/Cardiac_MRI_problem.m @ 47:2953097411d4
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author | idamnjanovic |
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date | Mon, 14 Mar 2011 15:43:24 +0000 |
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46:6a37442514c5 | 47:2953097411d4 |
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1 function data = Cardiac_MRI_Problem(varargin) | |
2 % CHANGE!!!!PROB503 Shepp-Logan phantom, partial Fourier with sample mask, | |
3 % complex domain, total variation. | |
4 % | |
5 % PROB503 creates a problem structure. The generated signal will | |
6 % consist of a N = 256 by N Shepp-Logan phantom. The signal is | |
7 % sampled at random locations in frequency domain generated | |
8 % according to a probability density function. | |
9 % | |
10 % The following optional arguments are supported: | |
11 % | |
12 % PROB503('n',N,flags) is the same as above, but with a | |
13 % phantom of size N by N. The 'noseed' flag can be specified to | |
14 % suppress initialization of the random number generators. Both | |
15 % the parameter pair and flags can be omitted. | |
16 % | |
17 % Examples: | |
18 % P = prob503; % Creates the default 503 problem. | |
19 % | |
20 % References: | |
21 % | |
22 % [LustDonoPaul:2007] M. Lustig, D.L. Donoho and J.M. Pauly, | |
23 % Sparse MRI: The application of compressed sensing for rapid MR | |
24 % imaging, Submitted to Magnetic Resonance in Medicine, 2007. | |
25 % | |
26 % [sparsemri] M. Lustig, SparseMRI, | |
27 % http://www.stanford.edu/~mlustig/SparseMRI.html | |
28 % | |
29 % See also GENERATEPROBLEM. | |
30 % | |
31 %MATLAB SPARCO Toolbox. | |
32 | |
33 % Copyright 2008, Ewout van den Berg and Michael P. Friedlander | |
34 % http://www.cs.ubc.ca/labs/scl/sparco | |
35 % $Id: prob503.m 1040 2008-06-26 20:29:02Z ewout78 $ | |
36 | |
37 % Parse parameters and set problem name | |
38 | |
39 [opts,varg] = parseDefaultOpts(varargin{:}); | |
40 [parm,varg] = parseOptions(varg,{'noseed'},{'n','fold','sigma','slice'}); | |
41 n = getOption(parm,'n',256); | |
42 info.name = 'Cardiac_MRI'; | |
43 opts.show = 1; | |
44 | |
45 | |
46 fold = getOption(parm,'fold', 6); % undersampling level | |
47 sigma = getOption(parm,'sigma', 0.05);; % noise level | |
48 z = getOption(parm,'slice', 5);; % slice number (1-10) | |
49 szt = 20; % number of time samples | |
50 | |
51 % Return problem name if requested | |
52 if opts.getname, data = info.name; return; end; | |
53 | |
54 % Initialize random number generators | |
55 if (~parm.noseed), randn('state',0); rand('twister',2000); end; | |
56 | |
57 % Set up the data | |
58 % if allowed use variable density | |
59 %pdf = genPDF([n,n],5,0.1,2,0.1,0); | |
60 | |
61 | |
62 | |
63 %load heart images | |
64 FS=filesep; | |
65 TMPpath=pwd; | |
66 [pathstr1, name, ext, versn] = fileparts(which('SMALLboxSetup.m')); | |
67 cd([pathstr1,FS,'data',FS,'images',FS,'Cardiac_MRI_dataset',FS,'Images']); | |
68 [filename,pathname] = uigetfile({'*.mat;'},'Select a patient MRI image set'); | |
69 [pathstr, name, ext, versn] = fileparts(filename); | |
70 load(filename); | |
71 data.name=name; | |
72 cd(TMPpath); | |
73 | |
74 % Set up the problem | |
75 | |
76 % Get 3D matrix of heart images (size 256x256, 20 frames) and stack them to | |
77 % 2D matrix (256 x 256*20) | |
78 data.signal = reshape(sol_yxzt(:,:,z,:), [n n*szt]); | |
79 | |
80 % make a noise matrix | |
81 | |
82 noise_var=sqrt(sigma*var(reshape(data.signal, [n*n*szt 1]))); | |
83 data.noise = randn(n,n*szt)*noise_var + sqrt(-1)*randn(n,n*szt)*noise_var; | |
84 | |
85 % make a mask of random lines in phase encode and time domain random - vector | |
86 % of 0 and 1 of size n*szt multiplied with vector of 1 of size n | |
87 | |
88 mask = rand(n*szt,1); | |
89 mask(mask>(1-1/fold))=1; | |
90 mask(mask<=(1-1/fold))=0; | |
91 mask=(mask*ones(1,n))'; | |
92 data.op.mask = opMask(mask); | |
93 data.op.padding = opPadding([n,n*szt],[n,n*szt]); | |
94 | |
95 % make an fft 2D dictionary. It will do 2D fft on evry image in the stack | |
96 data.op.fft2d = opKron(opDiag(szt,1), opFFT2C(n,n)); | |
97 | |
98 % make measurement operator mask*padding*fft2d | |
99 data.M = opFoG(data.op.mask, data.op.padding, ... | |
100 data.op.fft2d); | |
101 | |
102 % make a mesurement vector b = M* (signal + noise) where s+n is stack to 1d vector | |
103 data.b = data.M(reshape(data.signal + data.noise,[n*n*szt,1]),1); | |
104 | |
105 | |
106 data = completeOps(data); | |
107 | |
108 % Additional information | |
109 info.title = 'Cardiac-MRI'; | |
110 info.thumb = 'figcardiacProblem'; | |
111 info.citations = {'LustDonoPaul:2007','sparsemri'}; | |
112 info.fig{1}.title = 'Cardiac MRI'; | |
113 % info.fig{1}.filename = 'figProblemCardiac'; | |
114 % info.fig{2}.title = 'Probability density function'; | |
115 % info.fig{2}.filename = 'figProblem503PDF'; | |
116 % info.fig{3}.title = 'Sampling mask'; | |
117 % info.fig{3}.filename = 'figProblem503Mask'; | |
118 | |
119 % Set the info field in data | |
120 data.info = info; | |
121 opts.figinc=1; | |
122 % Plot figures | |
123 if opts.update || opts.show | |
124 | |
125 %figure(opts.figno); opts.figno = opts.figno + opts.figinc; | |
126 | |
127 mov=reshape(data.signal/500, [n n szt]); | |
128 | |
129 implay(mov); | |
130 clear mov; | |
131 | |
132 %updateFigure(opts, info.fig{1}.title, info.fig{1}.filename); | |
133 | |
134 movMeas=reshape(abs(data.A(data.b,2))/500, [n n szt]); | |
135 implay(movMeas); | |
136 clear movMeas; | |
137 % figure(opts.figno); opts.figno = opts.figno + opts.figinc; | |
138 % imagesc(pdf), colormap gray; | |
139 % updateFigure(opts, info.fig{2}.title, info.fig{2}.filename) | |
140 | |
141 implay(reshape(mask, [n n szt])); | |
142 | |
143 % figure(opts.figno); opts.figno = opts.figno + opts.figinc; | |
144 % imagesc(mask), colormap gray | |
145 % updateFigure(opts, info.fig{3}.title, info.fig{3}.filename) | |
146 % | |
147 % if opts.update | |
148 % mn = min(min(data.signal + real(data.noise))); | |
149 % mx = max(max(data.signal + real(data.noise))); | |
150 % P = (data.signal + real(data.noise) - mn) / (mx - mn); | |
151 % P = scaleImage(P,128,128); | |
152 % P = P(1:2:end,1:2:end,:); | |
153 % thumbwrite(P, info.thumb, opts); | |
154 % end | |
155 end |