From 751d7750be347ab6f508cb7170b18b86f0a04ce8 Mon Sep 17 00:00:00 2001 From: WSHoge <> Date: Sun, 29 Jan 2023 19:00:26 -0500 Subject: [PATCH] SIE-PCM demo from 2003 --- ReadMe.md | 99 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++ img1.png | Bin 0 -> 42119 bytes img2.png | Bin 0 -> 42192 bytes img3.png | Bin 0 -> 42196 bytes img4.png | Bin 0 -> 42118 bytes img5.png | Bin 0 -> 42047 bytes run_example.m | 11 +++++++ siepcm.m | 102 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 8 files changed, 212 insertions(+) create mode 100644 ReadMe.md create mode 100755 img1.png create mode 100755 img2.png create mode 100755 img3.png create mode 100755 img4.png create mode 100755 img5.png create mode 100755 run_example.m create mode 100755 siepcm.m diff --git a/ReadMe.md b/ReadMe.md new file mode 100644 index 0000000..5396c61 --- /dev/null +++ b/ReadMe.md @@ -0,0 +1,99 @@ + +# Subspace Identification Extension to the Phase Correlation Method (SIE-PCM) demo + +This short bit of Matlab code was the original implementation of the method described in +``A subspace identification extension to the phase correlation method,'' +IEEE Trans. Medical Imaging, 22(2):277-280, Feb. 2003. +http://dx.doi.org/10.1109/TMI.2002.808359 + +Images from the original 5 test frame data are included as well. + +# File List + + run_example.m - start here + siepcm.m - a function to estimate the row and column translation between two images + +The images are from 5 different MRI acquisition of a grapefruit, with +the grapefruit at different locations within the field-of-view. In +the table below, the coordinates of one corner of the field of view +are given. + + Image File | Source file | dim1 loc | dim2 loc + ------------|-------------|--------------|------------ + img1.png | P64512.7 | y = 8.30 cm | z= 2.00 cm + img2.png | P00000.7 | y = 8.15 cm | z= 2.25 cm + img3.png | P00512.7 | y = 8.00 cm | z= 2.50 cm + img4.png | P01024.7 | y = 7.85 cm | z= 2.27 cm + img5.png | P01536.7 | y = 7.85 cm | z= 2.75 cm + +To determine the expected translational shift between the images, use the +difference between the coordinates divided by the distance per pixel. + + dy = (y2 - y1) / n where n=0.0625 + +The original data was acquired on a GE Signa Lx 1.5T MR Scanner using +the following parameters: + TR: 500 TE: 15 protocol: FSE coil: HEAD + +---------------------------------------------------------------------- + +FOV length : Image Size :: 160mm : 256 pixels; => 0.0625 mm/pixel + + compare images 1 and 2. S: -2.5 mm, A: 1.5 mm + expect z = -4.0000, y = +2.4000 + + compare images 1 and 3. S: -5 mm, A: 3 mm + expect z = -8.0000, y = +4.8000 + + compare images 1 and 4. S: -2.7 mm, A: 4.5 mm + expect z = -4.3200, y = +7.2000 + + compare images 1 and 5. S: -7.5 mm, A: 4.5 mm + expect z = -12.0000, y = +7.2000 + + compare images 2 and 3. S: -2.5 mm, A: 1.5 mm + expect z = -4.0000, y = +2.4000 + + compare images 2 and 4. S: -0.2 mm, A: 3 mm + expect z = -0.3200, y = +4.8000 + + compare images 2 and 5. S: -5 mm, A: 3 mm + expect z = -8.0000, y = +4.8000 + + compare images 3 and 4. S: 2.3 mm, A: 1.5 mm + expect z = +3.6800, y = +2.4000 + + compare images 3 and 5. S: -2.5 mm, A: 1.5 mm + expect z = -4.0000, y = +2.4000 + + compare images 4 and 5. S: -4.8 mm, A: 0 mm + expect z = -7.6800, y = +0.0000 + +---------------------------------------------------------------------- + +Copyright 2003, W. Scott Hoge (wsh032580 at proton dot me) + +This images and text in this zip file are licensed under the Creative +Commons Attribution License. To view a copy of this license, visit +http://creativecommons.org/licenses/by/1.0/ or send a letter to Creative +Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. + +You are free: + + * to copy, distribute, display, and perform the work + * to make derivative works + * to make commercial use of the work + +Under the following conditions: +by Attribution. You must give the original author credit. + + * For any reuse or distribution, you must make clear to others the + license terms of this work. + * Any of these conditions can be waived if you get permission from the + author. + +Your fair use and other rights are in no way affected by the above. + +This is a human-readable summary of the Legal Code +(the full license: http://creativecommons.org/licenses/by/1.0/legalcode) + diff --git a/img1.png b/img1.png new file mode 100755 index 0000000000000000000000000000000000000000..21fac8c33494c78474f4f40e33842551b7d65e45 GIT binary patch literal 42119 zcmV)LK)Jt(P)fFDZ*BlhQXpw)XPX<~JBWn>_A zZe(S0AarPDAVYFxVRUJBWgtUuZEbIEb09%o#jNa4MC`TZoPXzw(nE}kZ+v5* zIA<1I{oF_258%@)&wZ4^+VJ{<5yhLKGAe9mjdaf9MEvo(%83wM236zG)(?F65g6UG zm`G;CWvzlh{E|(}>ghbiwtKaLiiG=Eh45ek&ZI?9*XE<2CHmU)MfhkARA4k3#ggn+ ze&DKJ&$_>I(yH}{4ep!C04XY|yAKpv83>d>=v51V)>&5NW&J1xSBitNa|QmqkSU9nvewv)%r6sSqm^x0$!^;0j5@?cEUMNM9eOw}156CL>MqEpnn) 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zqu9*~SPX-SH?qw&X{BdNa;oSfETpW>b{}=52#^~2+$C5nMz#ro&VmVIYB>x>DXfeY zf`(LyOSK2Z<=lfNhmVCQDD5K&zC+Yzgr=c~>N1$v7vxH$VGwd~o-~V7!__=`0=bm8 zQ`uw=V=co t ) = 1; +mask = medfilt2( mask, [10 10] ); % 2D median filter, from image + % processing toolbox +if (sum(mask(:)) == 0); + error(sprintf([' mask in empty. Need to lower the threshold (currently=' ... + ' %f)'], threshold)); +end; + +[u d v]=svds(mask.*c,1); +% [u d v]=svds( c,1); + +r2 = min(r,0.5); +% solve an LMS fit to the angles of the rank one matrix components... +if n > 3, + n2 = length(v); + %% apply post-masking: + t_n = ceil( (0.5-r2)*length(v) ):floor( (0.5+r2)*length(v) ); + + tmp = unwrap( angle(v(t_n)) ); A = [ (t_n-1)' ones(length(t_n),1) ]; + sys_y = A \ tmp; + y = sys_y(1) * n / (2*pi); + fullphz1 = unwrap(angle(v)); + fullphz1 = fullphz1 - fullphz1(floor(n2/2)) + ([floor(n2/2)-1 1]*sys_y); + pltcmd1 = '1:length(v), fullphz1, t_n, [ unwrap( angle(v(t_n)) ) ( sys_y(1) * (t_n-1)'' + sys_y(2) ) ]'; +else, + pltcmd1 = ' 0,0 '; sys_y = [ 0 0]; y = 0; +end; + +if m > 3, + m2 = length(u); + + %% apply post-masking: + t_m = ceil( (0.5-r2)*length(u) ):floor( (0.5+r2)*length(u) ); + + tmp = unwrap( angle(u(t_m)) ); A = [ (t_m-1)' ones(length(t_m),1) ]; + sys_x = A \ tmp; + x = sys_x(1) * m / (2*pi); + fullphz2 = unwrap(angle(u)); + fullphz2 = fullphz2 - fullphz2(floor(m2/2)) + ([floor(m2/2)-1 1]*sys_x); + pltcmd2 = '1:length(u), fullphz2, t_m, [ unwrap( angle(u(t_m)) ) ( sys_x(1) * (t_m-1)'' + sys_x(2) ) ]'; +else, + pltcmd2 = ' 0, 0 '; sys_x = [ 0 0]; x = 0; +end; + +% if verbose mode is on, show the estimation quality images +if verbose, + figure(1); + disp([ 'plot( ' pltcmd1 ', ''o-'', ' pltcmd2 ', ''*-'');' ]); + eval([ 'plot( ' pltcmd1 ', ''o-'', ' pltcmd2 ', ''*-'');' ]); + title(' plot of least squares linear fit '); + + + Q = exp( j*2*pi* x * [0:m-1]'/m ) * exp( -j*2*pi* y * [0:n-1]/n ); + q = u*v'; + + % phase align each of these beasts so that the abs( c - Q ) looks good. + mc = floor(m/2); nc = floor(n/2); + Q = Q * exp(angle(Q(mc,nc)'*c(mc,nc))*j); + q = q * exp(angle(q(mc,nc)'*c(mc,nc))*j); + figure(2); + imagesc( angle([ c mask.*c; u*v' Q ]) ); colormap('hsv'); + title('[ Q | mask \circ Q ; u v^H | est of (u v^H) ]'); + + disp([ ' x_0: ' num2str(x) ' y_0: ' num2str(y) ]); + keyboard; +end; + +% Copyright 2002-2005 W. Scott Hoge (wsh032580 at proton dot me) +% +% Licensed under the terms of the MIT License +% (https://opensource.org/licenses/MIT) \ No newline at end of file -- 1.8.3.1