From ddc9a1d963e3860e5038b607b59f6dcd434ab983 Mon Sep 17 00:00:00 2001 From: Mark Geurts Date: Wed, 2 Nov 2022 11:54:38 -0500 Subject: [PATCH 1/3] Optimization approach first draft --- ImageSymmetricCenter.m | 4 +-- OptimizeCorrection.m | 74 +++++++++++++++++++++++++++++++++++++++++ PDProfiler.mlapp | Bin 121972 -> 121983 bytes 3 files changed, 76 insertions(+), 2 deletions(-) create mode 100644 OptimizeCorrection.m diff --git a/ImageSymmetricCenter.m b/ImageSymmetricCenter.m index 901c593..2a0f1ac 100644 --- a/ImageSymmetricCenter.m +++ b/ImageSymmetricCenter.m @@ -2,7 +2,7 @@ % FindSymmetricCenter runs an optimization to find the pixel coordinates % around which a 2D image is most symmetric. It returns two variables, a % [2 x 1] vector of center coordinates and a [n x 1] array representing the -% mean radial profile from the center coordinate to the edge of the +% median radial profile from the center coordinate to the edge of the % image. % % Example usage: @@ -26,7 +26,7 @@ % with this program. If not, see http://www.gnu.org/licenses/. % Define number of rays to average and initialize profile/profiles arrays -rays = 32; +rays = 128; profile = zeros(max(size(image)), 1); profiles = zeros(max(size(image)), rays); diff --git a/OptimizeCorrection.m b/OptimizeCorrection.m new file mode 100644 index 0000000..6ed586e --- /dev/null +++ b/OptimizeCorrection.m @@ -0,0 +1,74 @@ +function [center, corrected] = OptimizeCorrection(radial, image, res) +% OptimizeCorrection calculates an optimized radial profile correction +% based on a target radial profile and source image. +% +% Author: Mark Geurts, mark.w.geurts@gmail.com +% Copyright (C) 2022 Aspirus, Inc. +% +% This program is free software: you can redistribute it and/or modify it +% under the terms of the GNU General Public License as published by the +% Free Software Foundation, either version 3 of the License, or (at your +% option) any later version. +% +% This program is distributed in the hope that it will be useful, but +% WITHOUT ANY WARRANTY; without even the implied warranty of +% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General +% Public License for more details. +% +% You should have received a copy of the GNU General Public License along +% with this program. If not, see http://www.gnu.org/licenses/. + +% Start optimization at center of target image +center = size(image)/2 + 0.5; + +% Normalize image to 1.000 at center +image = image / image(ceil(center(1)), ceil(center(2))); + +% Normalize radial to 1.000 at origin +radial(:,2) = radial(:,2) / radial(1,2); + +% Initialize corrected radial x and y values +n = 20; +x = (0:1/(n-1):1)'*radial(end,1); +y = ones(length(x)-1, 1); + +% Display progress dialog +d = waitbar(0, 'Optimizing calibration correction'); +p = 0; + +% Run optimization +m = 5000; +options = optimset('MaxFunEvals', m); +vars = [center, y']; +vars = fminsearch(@objectiveFunction, vars, options); +center = vars(1:2); +corrected = [x, [1 vars(3:end)]']; + +% Clean up +close(d); +clear d p m; + +% Define optimization function +function f = objectiveFunction(c) + + % Update waitbar + p = p + 1/m; + waitbar(min(p,1), d); + + % Calculate radial coordinates of image pixels + r = sqrt(((repmat(1:size(image,2), [size(image,1) 1]) - c(2)) * res(2)) .^ 2 + ... + ((repmat(1:size(image,1), [size(image,2) 1])' - c(1)) * res(1)) .^ 2); + + % Apply correction to radial profile + cr = radial(:,2) .* interp1(x, [1 c(3:end)], radial(:,1), 'linear', 1); + + % Objective is abs difference between image and corrected profile + f = sum(sum(abs(interp1(radial(:,1), cr, r, 'linear', 0) - image))); + +end + +% End main function +end + + + diff --git a/PDProfiler.mlapp b/PDProfiler.mlapp index d45646ab2a9302f72b690764368733715e0bb8ef..2d2d1f249c691719113386032543e5e7e1777820 100644 GIT binary patch delta 118798 zcmV(lK=i-#xCj5Z2OCgJ0|XQR000O8001EX0vh82#t8uc2M_@O7?-@+0ULjec?DBk z&(n2);O-FIo#4(A0t5>dNO0HSun^n{8r)%VC%C(7AS~`~i!Z*wB5!{G=L@`3({=7S zJyYG)x9**q85L=*&(a@h1-W@>Riw4JtiIb@a?+~Xo4Q#!xjKl^s>^6AstO5k(#p76 znz~t9&^kGa(Q5xgRi_`cw0wWGyu4z90%AO(w0t~#e6;_cO`YP+|1|_f72JQohVbT% zCum)LTxpPps4KfX1S9qM&rfAxZoZ-;4nxdiPFd-QVKs@3V`L=B@sW+Tvw)D?{W%DMsJ|JH=GHt{wMr-rejDa0eCsIO_%PS|v2GW{ zJMon*;rw&w3^paKV_oC`CsajjAOs_=`pw>mFgv` 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zb;jdjeXw4}*RPuuzLITjc1Puq0dXc^XJ?fr$nukI zN6EO#?SVhiXAV>@sdI^TZ@fIXjEM)<%{r_|cjdq7tN)kD2LHO^9<>Nv_$6zPZUyAe z_wOp-$&xYl`wvh{0RjL36aWAK2mk;8Apke$43!260RT!5m$umfRslSh4cY-K9VNiQ zWLNf_ From 4b7b0ca5b6e70d80ee08db9302aa4bf50ee164fa Mon Sep 17 00:00:00 2001 From: Mark Geurts Date: Wed, 2 Nov 2022 19:34:07 -0500 Subject: [PATCH 2/3] Adjusted runtime parameters --- OptimizeCorrection.m | 2 +- PDProfiler.mlapp | Bin 121983 -> 122014 bytes 2 files changed, 1 insertion(+), 1 deletion(-) diff --git a/OptimizeCorrection.m b/OptimizeCorrection.m index 6ed586e..b428b69 100644 --- a/OptimizeCorrection.m +++ b/OptimizeCorrection.m @@ -38,7 +38,7 @@ % Run optimization m = 5000; -options = optimset('MaxFunEvals', m); +options = optimset('Display', 'off', 'MaxFunEvals', m, 'MaxIter', m); vars = [center, y']; vars = fminsearch(@objectiveFunction, vars, options); center = vars(1:2); diff --git a/PDProfiler.mlapp b/PDProfiler.mlapp index 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zinDi70vCR1%%)mZ_H*+Qho~#~-%iiMQTCF3<|31WF&Pi{*NAA)Q+2}d24d#;)JLry zDl4WGaUazo@y4a(-Q}{UP^^p;b!isiwVJ(l%`qao?vx209TEqXH)>U0^N28wuXKM% z^u~{?npEmznGpb2fL^9;L5ZyNmGY#r@|3d{M=@LdmQJF|D?G#*IaUo$^^>?Y-i9`& zFl3O*K)G3zHW4b}dUV*b*Jq+HXQgou%g(LyA`aCt*egH$9959xZ>=g2tp_J@SS%y) zr22CQBU$zJ#ZGn=Ka?~rt<)spfJ}c5K|}jPecrDZ@dFFNbMdsFo%{EMhx`NaU>{Y= z!a&)`Q2H>%Bksk4f-JK8G^A~{58|l%Z)&+uVu2`7i0XP(=>Qjju0HB$lOhL0WcR_}lLsequ40_-=PiY4DN~x4gMRRDtW4q+eD)Tq|a0bR(oVHkvRAy>hMAy=3 zi~t(y;~5pc!JI^HdKVYq1;<1`rIQzyHMQHEO=(8UDbY@moY6TR1&9ifrdXOQc86LH zkHlN`G(9XRpW7f4WU@iltQy)>MaQ4;_30D)PaSghJ>~zw1N+YZPl(<6|C@OIf47Y$ z0Y0+{0vh82#t8uc2ba{@0apS1mn_-=D;?at8qZk)005-|000{R000000003100000 vK??zwUkd>ow~*Qae*p?d#C0x46953SVwV}*0Z{>NmuuVsEe4#~0RR91_RLUd From f6e370ce034e4b0297d4bbc75c610b590b38a004 Mon Sep 17 00:00:00 2001 From: Mark Geurts Date: Wed, 9 Nov 2022 08:13:11 -0600 Subject: [PATCH 3/3] Minor improvements to speed up optimization --- OptimizeCorrection.m | 13 ++++++------- PDProfiler.mlapp | Bin 122014 -> 122230 bytes 2 files changed, 6 insertions(+), 7 deletions(-) diff --git a/OptimizeCorrection.m b/OptimizeCorrection.m index b428b69..506e6bf 100644 --- a/OptimizeCorrection.m +++ b/OptimizeCorrection.m @@ -28,7 +28,7 @@ radial(:,2) = radial(:,2) / radial(1,2); % Initialize corrected radial x and y values -n = 20; +n = 15; x = (0:1/(n-1):1)'*radial(end,1); y = ones(length(x)-1, 1); @@ -37,8 +37,7 @@ p = 0; % Run optimization -m = 5000; -options = optimset('Display', 'off', 'MaxFunEvals', m, 'MaxIter', m); +options = optimset('Display', 'final', 'MaxFunEvals', n*100+1000, 'MaxIter', n*100); vars = [center, y']; vars = fminsearch(@objectiveFunction, vars, options); center = vars(1:2); @@ -46,13 +45,13 @@ % Clean up close(d); -clear d p m; +clear d p n; % Define optimization function function f = objectiveFunction(c) % Update waitbar - p = p + 1/m; + p = p + 1/(n*100); waitbar(min(p,1), d); % Calculate radial coordinates of image pixels @@ -62,8 +61,8 @@ % Apply correction to radial profile cr = radial(:,2) .* interp1(x, [1 c(3:end)], radial(:,1), 'linear', 1); - % Objective is abs difference between image and corrected profile - f = sum(sum(abs(interp1(radial(:,1), cr, r, 'linear', 0) - image))); + % Objective is difference between image and corrected profile + f = sum(sum((interp1(radial(:,1), cr, r, 'linear', 0) - image) .^ 2)); end diff --git a/PDProfiler.mlapp b/PDProfiler.mlapp index 0616dfd4c8c305b34af20fb294dda307d22bd1eb..ede5ddb74939564111091ecb208d3e761275c791 100644 GIT binary patch delta 72586 zcmV(xKSO< zjFP10S4k;qJ`PT5B}q+otM7J}Y}BfDrfyb_F80FIs?yr>%KW@+)Y2}Nrf!xN)Q%3q z)Y|{Fvg1!`Y9VS)e*s}WE@3WSYHm($ZtDNfu}=2pe*-~Y3HzU7MtJka6S$!|p)kZr z(4AWmf|hz=+BV!z1w>cZwg^2IgNT$? zR~dICODdD}f7|x@Jd#zn*vpsRTGiK2@bpyDakL;8NoHDdR!#G`r0Fz^QVv%3*AhqR z(8S6nhqOu@E+CC*v4oa9db*+pK4ZWxoT3Y+fc#&d5&X z0!>~*yROo6D}ktY3VNdr=(MznmMQ7cfqnJX9_(F|f4hoO<$71kBVzaU;?35+xj=Vr z4y-e|oFROWM~`cctJQsS(Z>+%XcsL1{0NY>0{2uY$od)tG~{n}Z71<}vIK?oG00dC09noZxo@K5K>B5lI=(ta&Hin^T3d@GmwWciP_N 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