% paths.patient_dir % paths.Goal_dir (previously called DP_dir) % paths.patient % paths.goalsName % colorwash(Geometry.data, D_full, [500, 1500], [0,70]) % orthoslice(D_full, [0,70]) function [D_full, w_fin, Geometry, optGoal] = NLP_optimizer_v3(varargin) % This function performs the beamlet optimization % [D_full, w_fin, Geometry, optGoal] = NLP_beamlet_optimizer; % % Inputs: % () OR % (Pat_path, path2goal) OR % (Pat_path, path2goal, beamlet_weights) % Pat_path, path2goal = strings to patient folder and optimal goals % beamlet_weights = initial beamlet weights % % Outputs: % full dose image dose: [D_full, w_fin, Geometry, optGoal] % % Made by Peter Ferjancic 1. May 2018 % Last updated: 1. April 2019 if nargin<2 load('WiscPlan_preferences.mat') [Pat_path] = uigetdir([WiscPlan_preferences.patientDataPath ], 'Select Patient folder'); [Goal_file,Goal_path,indx] = uigetfile([Pat_path '\matlab_files\*.mat'], 'Select OptGoal file'); path2geometry = [Pat_path, '\matlab_files\Geometry.mat']; path2goal = [Goal_path, Goal_file]; else Pat_path = varargin{1}; path2geometry = [Pat_path, '\matlab_files\Geometry.mat']; path2goal = varargin{2}; [Goal_path,Goal_file,ext] = fileparts(path2goal); end dialogue_box = 'no' switch dialogue_box case 'yes' str = inputdlg({'N of iterations for initial calc', 'N of iterations for full calc', ... 'Use pre-existing NLP_result to initiate? (y/n)'}, 'input', [1,35], {'100000', '500000', 'n'}); N_fcallback1 = str2double(str{1}); % 100000 is a good guesstimate N_fcallback2 = str2double(str{2}); % 500000 is a good guesstimate pre_beamWeights = str{3}; case 'no' disp('dialogue box skipped') N_fcallback1 = 1e5; N_fcallback2 = 2e6; % 500000; pre_beamWeights = 'n'; end switch pre_beamWeights case 'y' [NLP_file,NLP_path,indx] = uigetfile([Pat_path '\matlab_files\*.mat'], 'Select NLP_result file'); load([NLP_path, NLP_file]) w_beamlets = NLP_result.weights; load([Pat_path, '\all_beams.mat']) if numel(all_beams) ~= numel(w_beamlets) error('Provided weight number does not match beamlet number!') end case 'n' disp('Initial beam weights will be calculated.') end %% PROGRAM STARTS HERE % - no tocar lo que hay debajo - fprintf('starting NLP optimization process... \n') % % -- LOAD GEOMETRY, GOALS, BEAMLETS -- load(path2geometry) load(path2goal) [beamlets, numBeamlet] = get_beamlets(Geometry, Pat_path, OptGoals); % [beamlets, beamlets_joined, numBeamlet, numBeam, beam_i_list] = get_beam_lets(Geometry, Pat_path); %% -- OPTIMIZATION TARGETS -- % -- make the optimization optGoal structure -- for i_goal = 1:size(OptGoals.goals,1) if isfield(OptGoals.data{i_goal}, 'SupVox_num') SupVox_num = OptGoals.data{i_goal}.SupVox_num; else answer = inputdlg(['# of supervoxels for "' OptGoals.data{i_goal}.name '" with ' num2str(numel(OptGoals.data{i_goal}.ROI_idx)) ' vox: ("0" to skip)']) SupVox_num = str2double(answer{1}) end optGoal{i_goal} = OptGoals.data{i_goal}; optGoal{i_goal}.sss_scene_list = OptGoals.sss_scene_list; optGoal{i_goal}.maxModulation = OptGoals.maxModulation; optGoal{i_goal}.BeamSmoothMax = OptGoals.BeamSmoothMax; optGoal{i_goal}.optFuncNum = OptGoals.optFuncNum; % modulation if strcmp( '-||-' , optGoal{i_goal}.ROI_name) optGoal{i_goal}.ROI_idx_old = optGoal{i_goal-1}.ROI_idx_old; % copy old index data optGoal{i_goal}.ROI_idx = optGoal{i_goal-1}.ROI_idx; optGoal{i_goal}.opt_weight = optGoal{i_goal}.opt_weight * numel(optGoal{i_goal}.ROI_idx_old)/numel(optGoal{i_goal}.ROI_idx); optGoal{i_goal}.ROI_idx = optGoal{i_goal-1}.ROI_idx if isfield(OptGoals.data{i_goal}, 'wgt_map') optGoal{i_goal}.vox_wgt = optGoal{i_goal-1}.vox_wgt; end optGoal{i_goal}.beamlets_pruned = optGoal{i_goal-1}.beamlets_pruned; else switch SupVox_num case 0 % if not supervoxel, just select provided ROI_idx optGoal{i_goal}.beamlets_pruned = sparse(beamlets(optGoal{i_goal}.ROI_idx, :)); otherwise % -- if supervoxel, merge given columns % - make supervoxel map switch OptGoals.goals{i_goal, 3} case 'Fixed dose' mask = zeros(OptGoals.data{i_goal}.imgDim); mask(OptGoals.data{i_goal}.ROI_idx) = 1; % group superpixels superMask = superpix_group(mask, SupVox_num, 'no'); case 'Dose map' mask = zeros(OptGoals.data{i_goal}.imgDim); mask(OptGoals.data{i_goal}.ROI_idx) = OptGoals.data{i_goal}.D_final; mask2 = round(mask/3)*3; superMask = superpix_group(mask, SupVox_num, 'no'); orthoslice(superMask) end superVoxList = unique(superMask); superVoxList = superVoxList(superVoxList>0); optGoal{i_goal}.ROI_idx_old = optGoal{i_goal}.ROI_idx; % copy old index data optGoal{i_goal}.ROI_idx = zeros(numel(superVoxList), 1); optGoal{i_goal}.opt_weight = optGoal{i_goal}.opt_weight * numel(optGoal{i_goal}.ROI_idx_old)/numel(optGoal{i_goal}.ROI_idx); if isfield(OptGoals.data{i_goal}, 'wgt_map') tabula_wgtmap = zeros(size(superMask)); tabula_wgtmap(OptGoals.data{i_goal}.ROI_idx) = OptGoals.data{i_goal}.wgt_map; end h_w1 = waitbar(0, 'merging superboxels'); for i_supVox = 1:numel(superVoxList) waitbar(i_supVox/numel(superVoxList), h_w1) supVox_idx = superVoxList(i_supVox); idxList = find(superMask == supVox_idx); optGoal{i_goal}.beamlets_pruned(i_supVox,:) = sparse(mean(beamlets(idxList, :),1)); if isfield(OptGoals.data{i_goal}, 'wgt_map') optGoal{i_goal}.vox_wgt(i_supVox) = sum(tabula_wgtmap(idxList)); end % -- make new indeces optGoal{i_goal}.ROI_idx(i_supVox) = idxList(1); end close(h_w1) end end end % -- make them robust -- RO_params=0; optGoal = make_robust_optGoal(optGoal, RO_params, beamlets); % save([Goal_path, Goal_file '_robust.mat'], 'optGoal') % -- get beamlet indeces -- load([Pat_path, '\all_beams.mat']) Nbeamlets = all_beams{1}.Mxp; % number of beamlets in a beam - usually 64 or 32 weightTable = zeros(100,Nbeamlets); for ind_bmlt = 1:numel(all_beams) bLet_idx.y(ind_bmlt) = floor(all_beams{1, ind_bmlt}.num/Nbeamlets)+1; bLet_idx.x(ind_bmlt) = rem(all_beams{1, ind_bmlt}.num, Nbeamlets)+1; weightTable(bLet_idx.y(ind_bmlt),bLet_idx.x(ind_bmlt)) = 1; end bLet_idx.idx = find(weightTable>0); bLet_idx.Nbeamlets = Nbeamlets; disp('.') % -- CALLBACK OPTIMIZATION FUNCTION -- fun1 = @(x) get_penalty(x, optGoal_beam, bLet_idx); fun2 = @(x) get_penalty(x, optGoal, bLet_idx); % -- OPTIMIZATION PARAMETERS -- % define optimization parameters A = []; b = []; Aeq = []; beq = []; lb = zeros(1, numBeamlet); % lb_beam = zeros(1, numBeam); ub = []; nonlcon = []; % define opt limits, and make it fmincon progress options = optimoptions('fmincon'); options.MaxFunctionEvaluations = N_fcallback1; options.Display = 'iter'; options.PlotFcn = 'optimplotfval'; % options.UseParallel = true; options.UseParallel = false; % options.OptimalityTolerance = 1e-9; %% -- INITIALIZE BEAMLET WEIGHTS -- switch pre_beamWeights case 'y' % should have been assigned previously. disp('Provided beamlet weights used for initial comparison') case 'n' % if initial beamlet weights are not provided, get quick estimate % fprintf('\n running initial optimizer:') % initialize beamlet weights, OR w0 = ones(numBeamlet,1); % w0 = mean(optGoal{1}.D_final(optGoal{1}.ROI_idx) ./ (optGoal{1}.beamlets_pruned*w0+0.1)) * w0; % old w0 = mean(optGoal{1}.D_final(:)) ./ mean(optGoal{1}.beamlets_pruned*w0+0.05) * w0; w_beamlets = double(w0); % -- GET BEAM WEIGHTS -- % tic % w_beam = fmincon(fun1,w0_beams,A,b,Aeq,beq,lb,ub,nonlcon,options); % fprintf(' done!:') % t=toc; % disp(['Optimization time for beams = ',num2str(t)]); % % w_beamlets = ones(numBeamlet,1); % numBeam=numel(unique(beam_i_list)); % for beam_i = 1:numBeam % assign weights to beamlets % % beamlets from same beam get same initial weights % w_beamlets(beam_i_list == beam_i) = w_beam(beam_i); % end end %% FULL OPTIMIZATION % -- GET FULL BEAMLET WEIGHTS -- options.MaxFunctionEvaluations = N_fcallback2; tic fprintf('\n running full optimizer:') w_fin = fmincon(fun2,w_beamlets,A,b,Aeq,beq,lb,ub,nonlcon,options); fprintf(' done!:') t=toc; disp(['Optimization time for beamlets = ',num2str(t)]); %% evaluate the results D_full = reshape(beamlets * w_fin, size(Geometry.data)); %% save outputs NLP_result.dose = D_full; NLP_result.weights = w_fin; NLP_result.sss_scene_list = optGoal{1}.sss_scene_list; NLP_result.maxModulation = OptGoals.maxModulation; NLP_result.BeamSmoothMax = OptGoals.BeamSmoothMax; save([Pat_path, '\matlab_files\NLP_result_' Goal_file '.mat'], 'NLP_result'); % plot_DVH(Geometry, D_full) DQM_DVH(Geometry, D_full) colorwash(Geometry.data, D_full, [500, 1500], [0, 90]); end %% support functions % ---- PENALTY FUNCTION ---- function penalty = get_penalty(x, optGoal, bLet_idx) % this function gets called by the optimizer. It checks the penalty for % all the robust implementation and returns the worst result. NumScenarios = optGoal{1}.NbrRandScenarios * optGoal{1}.NbrSystSetUpScenarios * optGoal{1}.NbrRangeScenarios; fobj = zeros(NumScenarios,numel(optGoal)+2); sc_i = 1; for nrs_i = 1:optGoal{1}.NbrRandScenarios for sss_i = 1 :optGoal{1}.NbrSystSetUpScenarios % syst. setup scenarios = sss for rgs_i = 1:optGoal{1}.NbrRangeScenarios % range scenario = rs % fobj(sc_i)=eval_f(x, optGoal, nrs_i, sss_i, rgs_i, bLet_idx); fobj(sc_i,:) = eval_f(x, optGoal, nrs_i, sss_i, rgs_i, bLet_idx); sc_i = sc_i + 1; end end end switch optGoal{1}.optFuncNum case 1 % "RO max" penalty=max(sum(fobj,2)); case 2 % "RO mean" penalty=mean(sum(fobj,2)); case 3 % "RO objective-based" penalty=sum(max(fobj,[],1)); case 4 % "Classical" penalty=sum(fobj(1,:)); end % take the worst case penalty of evaluated scenarios % penalty=max(fobj); % take the median worst case (stochastic robust) % penalty=median(fobj); end % ------ supp: penalty for single scenario ------ function penArray = eval_f(x, optGoal, nrs_i, sss_i, rgs_i, bLet_idx) % penalty = 0; penArray = zeros(1,numel(optGoal)+2); % all the optGoals, plus modulation plus smoothing % for each condition for goal_i = 1:numel(optGoal) switch optGoal{goal_i}.function % min, max, min_sq, max_sq, LeastSquare, min_perc_Volume, max_perc_Volume case 'min' % penalize if achieved dose is lower than target dose d_penalty = 1.0e0 * sum(max(0, ... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target) -... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x))); case 'max' % penalize if achieved dose is higher than target dose d_penalty = 1.0e0 * sum(max(0, ... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target))); case 'min_sq' % penalize if achieved dose is lower than target dose temp1=min(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e0 * sum(temp1.*temp1); case 'max_sq' % penalize if achieved dose is higher than target dose temp1=max(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e0 * sum(temp1.*temp1); case 'min_step' % penalize if achieved dose is lower than target dose temp1=-min(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e1 * (sum(temp1.*temp1) + 1.0e3* sum(temp1>0)/numel(temp1)); case 'max_step' % penalize if achieved dose is higher than target dose temp1=max(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e1 * (sum(temp1.*temp1) + 1.0e3* sum(temp1>0)/numel(temp1)); case 'LeastSquare' % penalize with sum of squares any deviation from target % dose temp1 = (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x) - ... optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target; d_penalty = 1.0e0* sum(temp1.^2); case 'min_perc_Volume' % penalize by amount of volume under threshold perc_vox = numel(find((optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target) -... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x) > 0)) ... / numel(optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target); d_penalty = 3.0e4 * min(perc_vox-0.05, 0) case 'max_perc_Volume' % penalize by amount of volume under threshold perc_vox = numel(find((optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target) -... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x) < 0)) ... / numel(optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target); d_penalty = 3.0e4 * min(perc_vox-0.05, 0) case 'min_sq_voxwgt' % penalize if achieved dose is lower than target dose temp1=min(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e0 * sum(temp1.*temp1.* optGoal{goal_i}.vox_wgt'); case 'max_sq_voxwgt' % penalize if achieved dose is lower than target dose temp1=min(0, (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned * x)-... (optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target)); d_penalty = 1.0e0 * sum(temp1.*temp1.* optGoal{goal_i}.vox_wgt'); end % penalty = penalty + d_penalty * optGoal{goal_i}.opt_weight; penArray(goal_i) = d_penalty * optGoal{goal_i}.opt_weight; end %% add modulation penalty if true if isfield(optGoal{goal_i}, 'maxModulation') max_modulation = optGoal{goal_i}.maxModulation; else error('no Max modulation parameter enterd!') max_modulation = 5; end mod_pen_weight = 1.0e10; % calc the penalty mod_excess = max(0, x-max_modulation*mean(x)); % mod_excess = max(0, x-max_modulation*mean(x(x>1))); mod_pen1 = mod_pen_weight*(sum(mod_excess) + numel(mod_excess)* any(mod_excess)); % penalty = penalty + mod_pen1; penArray(end-1) = mod_pen1; end %% add penlty for single off beamlets - version 2 if false if isfield(optGoal{goal_i}, 'BeamSmoothMax') BeamSmoothMax = optGoal{goal_i}.BeamSmoothMax; else error('no Max beam smooth parameter enterd!') BeamSmoothMax = 1e6; end mod_pen_weight = BeamSmoothMax; %1.0e6 x_down = zeros(size(x)); x_down(2:end) = x(1:end-1); x_down2 = zeros(size(x)); x_down2(3:end) = x(1:end-2); x_up = zeros(size(x)); x_up(1:end-1) = x(2:end); x_up2 = zeros(size(x)); x_up2(1:end-2) = x(3:end); mod_pen2 = mod_pen_weight*sum((x_down+x_up-2*x).^2 + 0.5*(x_down2+x_up2-2*x).^2)/(mean(x)^(2)*numel(x)); % penalty = penalty + mod_pen2; penArray(end) = mod_pen2; end %% add penlty for single off beamlets - version 3 if true if isfield(optGoal{goal_i}, 'BeamSmoothMax') BeamSmoothMax = optGoal{goal_i}.BeamSmoothMax; else error('no Max beam smooth parameter enterd!') BeamSmoothMax = 1e6; end mod_pen_weight = BeamSmoothMax; %1.0e6 % make 2D beamletWeight map maxY = max(bLet_idx.y); tabula = zeros(maxY, bLet_idx.Nbeamlets); tabula(bLet_idx.idx) = x; % for each index calculate laplace myWeights = 1/12*[1,3,1; 1,-12,1; 1,3,1]; i=2:maxY-1; j=2:bLet_idx.Nbeamlets-1; tabula2(i,j) = ... myWeights(1)*tabula(i-1,j-1) + myWeights(4)*tabula(i-1,j) + myWeights(7)*tabula(i-1,j+1)... +myWeights(2)*tabula(i,j-1) + myWeights(8)*tabula(i,j+1) ... +myWeights(3)*tabula(i+1,j-1) + myWeights(6)*tabula(i+1,j) + myWeights(9)*tabula(i+1,j+1)... +myWeights(5)*tabula(i,j); tabula2(1,j) = ... myWeights(2)*tabula(1,j-1) + myWeights(8)*tabula(1,j+1)... +myWeights(3)*tabula(2,j-1) + myWeights(6)*tabula(2,j) + myWeights(9)*tabula(2,j+1)... +myWeights(5)*tabula(1,j); tabula2(maxY,j) =... myWeights(1)*tabula(maxY-1,j-1) + myWeights(4)*tabula(maxY-1,j) + myWeights(7)*tabula(maxY-1,j+1)... +myWeights(2)*tabula(maxY,j-1) + myWeights(8)*tabula(maxY,j+1) ... +myWeights(5)*tabula(maxY,j); % make sum of squares mod_pen2 = mod_pen_weight*sum((tabula2(:)).^2)/(mean(x.^2)*numel(x)); % penalty = penalty + mod_pen2; penArray(end) = mod_pen2; end end % ---- MAKE ROI ROBUST ---- function optGoal = make_robust_optGoal(optGoal, RO_params, beamlets); % take regular optimal goal and translate it into several robust cases % RO_params - should have the information below % nrs - random scenarios % sss - system setup scenarios % rgs - random range scenarios % X - X>0 moves image right % Y - Y>0 moves image down % Z - in/out. shift_X = 2; % vox of shift shift_Y = 2; % vox of shift shift_Z = 1; % vox of shift nrs_scene_list={[0,0,0]}; % ----====#### CHANGE ROBUSTNESS HERE ####====---- if isfield(optGoal{1}, 'sss_scene_list') sss_scene_list = optGoal{1}.sss_scene_list; else error('New OptGoals should no longer reach this code!') sss_scene_list={[0,0,0], [-shift_Y,0,0], [shift_Y,0,0], [0,-shift_X,0], [0,shift_X,0], [0,0,-shift_Z], [0,0,shift_Z]}; optGoal{1}.sss_scene_list = sss_scene_list; end % sss_scene_list={[0,0,0]}; % ----====#### CHANGE ROBUSTNESS HERE ####====---- % [targetIn, meta] = nrrdread('C:\010-work\003_localGit\WiscPlan_v2\data\archive\CDP_data\CDP5_DP_target.nrrd'); % [targetIn, meta] = nrrdread('C:\010-work\003_localGit\WiscPlan_v2\data\PD_HD_dicomPhantom\Tomo_DP_target.nrrd'); % [targetIn, meta] = nrrdread('C:\010-work\003_localGit\WiscPlan_v2\data\archive\CDP_data\CDP5_DP_target.nrrd'); rgs_scene_list={[0,0,0]}; for i = 1:numel(optGoal) optGoal{i}.NbrRandScenarios =numel(nrs_scene_list); optGoal{i}.NbrSystSetUpScenarios=numel(sss_scene_list); optGoal{i}.NbrRangeScenarios =numel(rgs_scene_list); end for goal_i = 1:numel(optGoal) % get target idx=optGoal{goal_i}.ROI_idx; targetImg1=zeros(optGoal{goal_i}.imgDim); targetImg1(idx)=1; % get beamlets for nrs_i = 1:optGoal{goal_i}.NbrRandScenarios % num. of random scenarios % modify target and beamlets targetImg2=targetImg1; % beamlets stay the same for sss_i = 1 :optGoal{goal_i}.NbrSystSetUpScenarios % syst. setup scenarios = sss % modify target and beamlets [targetImg3 idxValid]=get_RO_sss(targetImg2, sss_scene_list{sss_i}); % beamlets stay the same for rgs_i = 1:optGoal{goal_i}.NbrRangeScenarios % range scenario = rgs % modify target and beamlets targetImg4=targetImg3; % beamlets stay the same %% make new target and beamlets ROI_idx=[]; ROI_idx=find(targetImg4>0); target = optGoal{goal_i}.D_final(idxValid); beamlets_pruned = beamlets(ROI_idx, :); % save to optGoal output optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.ROI_idx = ROI_idx; optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.beamlets_pruned = beamlets_pruned; optGoal{goal_i}.nrs{nrs_i}.sss{sss_i}.rgs{rgs_i}.target = target; end end end end end %% ------ supp: RO case SSS ------ function [targetImg3 ia]=get_RO_sss(targetImg2, sss_scene_shift); % translate the target image targetImg3 = imtranslate(targetImg2,sss_scene_shift); % now we need to figure out if any target voxels fell out during the % shift imgValid = imtranslate(targetImg3,-sss_scene_shift); imgInvalid = (targetImg2-imgValid); idx_1 = find(targetImg2); idx_2 = find(imgInvalid); [idxValid,ia] = setdiff(idx_1,idx_2); [C,ia, ib] = intersect(idx_1,idxValid); end