% By Philip Torr 2002 % copyright Microsoft Corp. %this is a script to test the self calibration stuff %torr_test_SFMsc.m.m %main() %profile on clear all; m3 = 256; method = 'mapsac'; method = 'linear'; % % do we want the same result each time % randn('state',0) % rand('state',0) no_test = 1; % [true_F,x1,y1,x2,y2,nx1,ny1,nx2,ny2] = ... % torr_gen_2view_matches(foc, no_matches, noise_sigma, translation_mult, translation_adder, ... % rotation_multplier, min_Z,Z_RAN,m3); [true_F,x1,y1,x2,y2,nx1,ny1,nx2,ny2,true_C,true_R,true_TX, true_E, true_X, true_t] = torr_gen_2view_matches; [true_P1, true_P2] = torr_RCT2P(true_C,true_R, true_t); torr_display_structure(true_X, true_P1, true_P2,1); no_matches = length(nx1); %if we set this to one then the result should be the same as the groundtruth... no_noise = 0; if (no_noise) nx1 = x1; nx2 = x2; ny1 = y1; ny2 = y2; end matches = [nx1,ny1,nx2,ny2]; perfect_matches = [x1,y1,x2,y2]; set_rank2 = 1; %first estimate F [f, e1, n_inliers,inlier_index,nF] = torr_estimateF( matches, m3, [], method, set_rank2); %now guess the camera calibration matrix CC = diag(ones(3,1),0); CC(3,3) = 1; %next self calibrate for focal length [focal_length, nE,CCC] = torr_self_calib_f(nF,CC); %next correct the points so that they lie on the fundamental matrix [corrected_matches error2] = torr_correctx4F(f, nx1,ny1,nx2,ny2, no_matches, m3); %corrected matches should have zero error: e2 = torr_errf2(f, corrected_matches(:,1), corrected_matches(:,2), corrected_matches(:,3),corrected_matches(:,4), length(nx1), m3); %now we have an Essential matrix we can establish the camera frame... [P1,P2,R,t,srot_axis,rot_angle,g] = torr_linear_EtoPX(nE,corrected_matches,CCC,m3); %non linear estimation of g (and hence f) [g,f] = torr_nonlinG(g ,nx1,ny1,nx2,ny2, no_matches, m3, CCC); %next convert the 6 parameters of g to a fundamental matrix f2 = torr_g2F(g,CCC); %next correct the points so that they lie on the fundamental matrix [corrected_matches error2] = torr_correctx4F(f2, nx1,ny1,nx2,ny2, no_matches, m3); %next we need to obtain P1 & P2 [P1, P2] = torr_g2FP(g,CCC); %now use P matrices and corrected matches to get structure: X = torr_triangulate(corrected_matches, m3, P1, P2); torr_display_structure(X, P1, P2, 1); %inlier_index = torr_robust_chieral(X,P1,P2); %this can be used to remove outliers, see torr_tool %test XX = [X(1,:) ./ X(4,:) ; X(2,:) ./ X(4,:) ; X(3,:) ./ X(4,:) ]; disp('ratio of estimated and true X'); XX ./true_X show_result = 0; if show_result disp('look at reprojection error to groundtruth points') x1_rp = P1 * X; x1_rp(1,:) = x1_rp(1,:) ./ x1_rp(3,:) * m3; x1_rp(2,:) = x1_rp(2,:) ./ x1_rp(3,:) * m3; (x1 - x1_rp(1,:)')' (y1 - x1_rp(2,:)')' x2_rp = P2 * X; x2_rp(1,:) = x2_rp(1,:) ./ x2_rp(3,:) * m3; x2_rp(2,:) = x2_rp(2,:) ./ x2_rp(3,:) * m3; (x2 - x2_rp(1,:)')' (y2 - x2_rp(2,:)')' end