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1746b0ab8faf1f916ab31aa46291ea274d33951e Mon Sep 17 00:00:00 2001 From: ByungWan Kim Date: Fri, 12 Jun 2015 10:25:06 +0900 Subject: [PATCH 2/2] camera_calibration camera_calibration --- calibration/Image1.tif | Bin 0 -> 311284 bytes calibration/Image10.tif | Bin 0 -> 311284 bytes calibration/Image11.tif | Bin 0 -> 311284 bytes calibration/Image12.tif | Bin 0 -> 311284 bytes calibration/Image13.tif | Bin 0 -> 311284 bytes calibration/Image14.tif | Bin 0 -> 311284 bytes calibration/Image15.tif | Bin 0 -> 311284 bytes calibration/Image16.tif | Bin 0 -> 311284 bytes calibration/Image17.tif | Bin 0 -> 311284 bytes calibration/Image18.tif | Bin 0 -> 311284 bytes calibration/Image19.tif | Bin 0 -> 311284 bytes calibration/Image2.tif | Bin 0 -> 311284 bytes calibration/Image20.tif | Bin 0 -> 311284 bytes calibration/Image3.tif | Bin 0 -> 311284 bytes calibration/Image4.tif | Bin 0 -> 311284 bytes calibration/Image5.tif | Bin 0 -> 311284 bytes calibration/Image6.tif | Bin 0 -> 311284 bytes calibration/Image7.tif | Bin 0 -> 311284 bytes calibration/Image8.tif | Bin 0 -> 311284 bytes calibration/Image9.tif | Bin 0 -> 311284 bytes calibration/calib_gui_normal.py | 1894 +++++++++++++++++ calibration/image_name_calib.txt | 20 + calibration/objs.pickle | 845 ++++++++ .../\354\202\254\354\232\251\353\262\225.txt" | 14 + 24 files changed, 2773 insertions(+) create mode 100644 calibration/Image1.tif create mode 100644 calibration/Image10.tif create mode 100644 calibration/Image11.tif create mode 100644 calibration/Image12.tif create mode 100644 calibration/Image13.tif create mode 100644 calibration/Image14.tif create mode 100644 calibration/Image15.tif create mode 100644 calibration/Image16.tif create mode 100644 calibration/Image17.tif create mode 100644 calibration/Image18.tif create mode 100644 calibration/Image19.tif create mode 100644 calibration/Image2.tif create mode 100644 calibration/Image20.tif create mode 100644 calibration/Image3.tif create mode 100644 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zv8-o?=Dq)L@y;UrJzSn$TA9}vJv+Z(+fLeHZ)?1og-Ebln4P(8c3^%y0O<+IAv|bm|CY{r2J2aLV^(t$Q5&lwOjcXdE zHa0PI1rtTh(G2lmQVQV+#!s;>#<#wh0d_Uda+kX0d zPfLp1: + xp=np.multiply(xd3,(f_re*np.mat(np.ones((1,n)))))+c_re*np.mat(np.ones((1,n))) + coeff_temp=f_re*np.mat(np.ones((1,n))) + coeff=(coeff_temp.T).reshape(2*n,1) + dxpdom = np.multiply((coeff*np.mat(np.ones((1,3)))), dxd3dom) + dxpdT = np.multiply((coeff*np.mat(np.ones((1,3)))), dxd3dT) + dxpdk = np.multiply((coeff*np.mat(np.ones((1,5)))), dxd3dk) + dxpdalpha = np.multiply(coeff,dxd3dalpha) + dxpdf = np.mat(np.zeros((2*n,2))) + dxpdf[0:2*n:2,0] = xd3[0,:].T + dxpdf[1:2*n:2,1] = xd3[1,:].T + else: + xp=f*xd3+c*np.mat(np.ones(1,n)) + dxpdom = f * dxd3dom + dxpdT = f * dxd3dT + dxpdk = f * dxd3dk + dxpdalpha = np.multiply(f,dxd3dalpha) + + dxpdf = (xd3.T).reshape(xd2_col,1) + + dxpdc=np.mat(np.zeros((2*n,2))) + dxpdc[0:2*n:2,0] = np.mat(np.ones((n,1))) + dxpdc[1:2*n:2,1] = np.mat(np.ones((n,1))) + + + return xp,dxpdom,dxpdT,dxpdf,dxpdc,dxpdk,dxpdalpha + + + + + +#########compute_extrinsic_refine############## +def compute_extrinsic_refine(omc_init,Tc_init,x_kk,X_kk,fc,cc,kc,alpha_c,MaxIter,thresh_cond): + omckk=omc_init + Tckk=Tc_init + param=np.mat(np.ones((6,1))) + param[0:3,0]=omckk + param[3:6,0]=Tckk + change=1 + Iter=0 + while (change>(1e-10))&(Iterthresh_cond: + change=0 + else: + JJ2=JJ.T*JJ + + param_innov=inv(JJ2)*(JJ.T)*(ex.T).reshape(ex_size,1) + param_up=param+param_innov + change=np.linalg.norm(param_innov)/np.linalg.norm(param_up) + param=param_up + Iter=Iter+1 + + omckk=param[0:3] + Tckk=param[3:6] + + rodri_out=rodrigues(omckk) + Rckk=rodri_out[0] + return omckk,Tckk,Rckk,JJ + +#########rodrigues############# +def rodrigues(IN): + global kbw + m,n=IN.shape + + bigeps=10e+20*np.spacing(1) + if ((m==1)&(n==3))|((m==3)&(n==1)): + theta=np.linalg.norm(IN) + if theta=(1e-4): + dthetadtr = -1/np.sqrt(1-tr**2) + dthetadR = dthetadtr * dtrdR + vth = 1/(2*np.sin(theta)) + dvthdtheta = -vth*np.cos(theta)/np.sin(theta) + dvar1dtheta = np.mat([[dvthdtheta],[1]]) + + dvar1dR = dvar1dtheta * dthetadR + + + om1 = np.mat([R[2,1]-R[1,2], R[0,2]-R[2,0], R[1,0]-R[0,1]]).T + + dom1dR = np.mat([[0,0,0,0,0,1,0,-1,0],[0,0,-1,0,0,0,1,0,0],[0,1,0,-1,0,0,0,0,0]]) + dom1dR_row=dom1dR.shape[0] + dom1dR_col=dom1dR.shape[1] + dvar1dR_row=dvar1dR.shape[0] + dvardR=np.mat(np.zeros((dom1dR_row+dvar1dR_row,dom1dR_col))) + dvardR[0:dom1dR_row,:] = dom1dR + dvardR[dom1dR_row:dom1dR_row+dvar1dR_row,:]=dvar1dR + + om = vth*om1 + domdvar = np.mat(np.zeros((3,5))) + domdvar[:,0:3] = vth*np.eye(3) + domdvar[:,3] = om1 + dthetadvar = np.mat([0,0,0,0,1]) + + dvar2dvar=np.mat(np.zeros((4,5))) + dvar2dvar[0:3,:]=domdvar + dvar2dvar[3,:]=dthetadvar + + + out = om*theta + domegadvar2 = np.mat(np.zeros((3,4))) + domegadvar2[:,0:3] = theta*np.eye(3) + domegadvar2[:,3] = om + + + dout = domegadvar2 * dvar2dvar * dvardR + + else: + if tr>0: + out=np.mat([0,0,0]).T + dout=np.mat([[0,0,0,0,0,1/2,0,-1/2,0],[0,0,-1/2,0,0,0,1/2,0,0],[0,1/2,0,-1/2,0,0,0,0,0]]) + else: + hashvec =np.mat([0,-1,-3,-9,9,3,1,13,5,-7,-11]).T + Smat=np.mat([[1,1,1],[1,0,-1],[0,1,-1],[1,-1,0],[1,1,0],[0,1,1],[1,0,1],[1,1,1],[1,1,-1],[1,-1,-1],[1,-1,1]]) + M = (R+np.eye(3))/2 + uabs = np.sqrt(M[0,0]) + vabs = np.sqrt(M[1,1]) + wabs = np.sqrt(M[2,2]) + + mvec=np.mat([M[0,2]+M[1,0],M[0,2]+M[2,1],M[0,2]+M[2,0]])/2 + syn = (mvec>np.spacing(1))-(mvec<-np.spacing(1)) + Hash = syn*(np.mat([9,3,1]).T) + idx=np.where(Hash==hashvec)[0][0,0] + svec = Smat[idx,:].T + + out=theta*np.multiply((np.mat([uabs,vabs,wabs]).T),svec) + else: + print('Neither a rotation matrix nor a rotation vector were provided') + + return out,dout +##########normalize_pixel############## +def normalize_pixel(x_kk,fc,cc,kc,alpha_c): + x_distort=np.mat(np.zeros((2,x_kk.shape[1]))) + x_distort[0,:] = (x_kk[0,:]-cc[0,0])/fc[0,0] + x_distort[1,:] = (x_kk[1,:]-cc[1,0])/fc[1,0] + + x_distort[0,:]=x_distort[0,:]-alpha_c*x_distort[1,:] + + if np.linalg.norm(kc) !=0: + k1=kc[0] + k2=kc[1] + k3=kc[4] + p1=kc[2] + p2=kc[3] + x=x_distort.copy() + + for kk in range(1,21): + r_2=sum(np.square(x)) + k_radial = 1 + k1 * r_2 + k2 * np.square(r_2) + k3 * np.power(r_2,3) + delta_x1=2*p1*np.multiply(x_distort[0,:],x_distort[1,:]) + p2*(r_2 + 2*np.square(x_distort[0,:])) + delta_x2=p1*(r_2 + 2*np.square(x_distort[1,:]))+2*p2*np.multiply(x_distort[0,:],x_distort[1,:]) + delta_x1_row,delta_x1_col=delta_x1.shape + delta_x2_row,delta_x2_col=delta_x2.shape + + delta_x=np.mat(np.zeros((delta_x1_row+delta_x2_row,delta_x1_col))) + + delta_x[0:delta_x1_row,:]=delta_x1 + delta_x[delta_x1_row:delta_x1_row+delta_x2_row,:]=delta_x2 + + x = np.multiply((x_distort - delta_x),1/((np.mat(np.ones((2,1)))*k_radial))) + xn=x.copy() + else: + xn=x_distort.copy() + + return xn + +###########compute_extrinsic_init############ +def compute_extrinsic_init(x_kk,X_kk,fc,cc,kc,alpha_c): + global kbw + ###normalize_pixel### + xn=normalize_pixel(x_kk,fc,cc,kc,alpha_c) + Np=xn.shape[1] + X_mean=np.mean(X_kk,axis=1) + Y=X_kk-(X_mean*np.mat(np.ones((1,Np)))) + YY=Y*Y.T + U,S,V=np.linalg.svd(YY) + V=V.T + r=S[2]/S[1] + + if (r<1e-3)|(Np<5): + R_transform = V.T + if np.linalg.norm(R_transform[0:2,2])<1e-6: + R_transform=np.eye(3) + if np.linalg.det(R_transform)<0: + R_transform=-R_transform + + T_transform = -(R_transform)*X_mean + X_new = R_transform*X_kk + T_transform*np.mat(np.ones((1,Np))) + homography_out = compute_homography(xn,X_new[0:2,:]) + H=homography_out[0].copy() + sc=np.mean(np.mat([[np.linalg.norm(H[:,0])],[np.linalg.norm(H[:,1])]]),axis=0) + H=H/sc + u1=H[:,0] + u1=u1/np.linalg.norm(u1) + u2=H[:,1]-np.dot(u1.T,H[:,1])[0,0]*u1 + u2=u2/np.linalg.norm(u2) + u3=np.cross(u1.T,u2.T).T + u1_row=u1.shape[0] + u1_col=u1.shape[1] + u2_col=u2.shape[1] + u3_col=u3.shape[1] + RRR=np.mat(np.ones((u1_row,u1_col+u2_col+u3_col))) + RRR[:,0:u1_col]=u1 + RRR[:,u1_col:u1_col+u2_col]=u2 + RRR[:,u1_col+u2_col:u1_col+u2_col+u3_col]=u3 + + rodri_out=rodrigues(RRR) + + omckk=rodri_out[0] + + rodri_out=rodrigues(omckk) + Rckk=rodri_out[0] + + Tckk=H[:,2] + Tckk = Tckk + Rckk* T_transform + Rckk = Rckk * R_transform + + rodri_out=rodrigues(Rckk) + omckk=rodri_out[0] + rodri_out=rodrigues(omckk) + Rckk=rodri_out[0] + else: + J=np.mat(np.zeros((2*Np,12))) + xX=np.multiply(np.mat(np.ones((3,1)))*xn[0,:],X_kk) + yX=np.multiply(np.mat(np.ones((3,1)))*xn[1,:],X_kk) + + J[0:2*Np:2,[0,3,6]]=-X_kk.T + J[1:2*Np:2,[1,4,7]]=X_kk.T + J[0:2*Np:2,[2,5,8]]=xX.T + J[1:2*Np:2,[2,5,8]]=-yX.T + J[0:2*Np:2,11]=xn[0,:].T + J[1:2*Np:2,11]=-xn[1,:].T + J[0:2*Np:2,9]=-np.ones((Np,1)) + J[1:2*Np:2,10]=np.ones((Np,1)) + + JJ = J.T*J + U,S,V=np.linalg.svd(JJ) + V=V.T + RR=(V[0:9,11].T).reshape(3,3) + if np.linalg.det(RR)<0: + V[:,11]=-V[:,11] + RR=-RR + + Ur,Sr,Vr=np.linalg.svd(RR) + Rckk = Ur*Vr + sc=np.linalg.norm(V[0:9,11])/np.linalg.norm(Rckk) + Tckk=V[9:12,11]/sc + rodri_out=rodrigues(Rckk) + omckk=rodri_out[0] + rodri_out=rodrigues(omckk) + Rckk=rodri_out[0] + return omckk,Tckk,Rckk +###########go_calib_optim#################### +def go_calib_optim(): + global kc + global kbw + global kbw1 + with open('objs.pickle') as f: objs= pickle.load(f) + + active_images=objs[0] + ind_active=objs[1] + wintx=objs[2] + winty=objs[3] + n_ima=objs[4] + nx=objs[5] + ny=objs[6] + dX_default=objs[7] + dY_default=objs[8] + dX=objs[9] + dY=objs[10] + wintx_default=objs[11] + winty_default=objs[12] + for kk in np.arange(0,n_ima): + exec('X_'+str(kk+1)+'=objs[kk*8+13]') in locals(),globals() + exec('x_'+str(kk+1)+'=objs[kk*8+14]') in locals(),globals() + exec('n_sq_x_'+str(kk+1)+'=objs[kk*8+15]') in locals(),globals() + exec('n_sq_y_'+str(kk+1)+'=objs[kk*8+16]') in locals(),globals() + exec('wintx_'+str(kk+1)+'=objs[kk*8+17]') in locals(),globals() + exec('winty_'+str(kk+1)+'=objs[kk*8+18]') in locals(),globals() + exec('dX_'+str(kk+1)+'=objs[kk*8+19]') in locals(),globals() + exec('dY_'+str(kk+1)+'=objs[kk*8+20]') in locals(),globals() + + desactivated_images=[] + recompute_extrinsic=(len(ind_active)<100) + rosette_calibration = 0 + if rosette_calibration: + est_dist=np.float_(np.ones((5,1))) + + ###go_calib_optim_iter### + est_aspect_ratio = 1. + est_fc = np.mat([[1.],[1.]]) + MaxIter = 30 + check_cond = 1 + center_optim = 1. + + if ('est_dist' not in globals().keys())&('est_dist' not in locals().keys()): + est_dist=np.mat([[1],[1],[1],[1],[0]]) + else: + if len(est_dist)==4: + est_dist_temp=np.zeros((5,1)) + est_dist_temp[0:4,:]=est_dist + est_dist=est_dist_temp + + if ('est_alpha' not in globals().keys())&('est_alpha' not in locals().keys()): + est_alpha = 0. + + + + quick_init = 0 + dont_ask=0 + alpha_c = 0 + + if np.prod(est_dist)==0: + print 'Distortion not fully estimated (defined by the variable est_dist):\n' + if est_dist[0,0]==0: + print ' Second order distortion not estimated (est_dist(1)=0).\n' + if est_dist[1,0]==0: + print ' Fourth order distortion not estimated (est_dist(2)=0).\n' + if est_dist[4,0]==0: + print ' Sixth order distortion not estimated (est_dist(5)=0) - (DEFAULT) .\n' + if np.prod(est_dist[2:4,0])==0: + print ' Tangential distortion not estimated (est_dist(3:4)~=[1;1]).\n' + + alpha_smooth = 0.1 + thresh_cond = 1e6 + if ('cc' not in globals().keys())&('cc' not in locals().keys()): + cc = np.mat([[(nx-1)/2],[(ny-1)/2]]) + alpha_smooth=0.1 + + ###init_intrinsic_param### + two_focals_init=0. + + for kk in range(1,n_ima+1): + exec('x_kk=x_'+str(kk)+'.copy()') + exec('X_k=X_'+str(kk)+'.copy()') + if active_images[kk-1]: + exec('Hout=compute_homography(x_kk,X_k[0:2,:])') + exec('H_'+str(kk)+'=Hout[0]') + + c_init=(np.float_(np.mat([[nx],[ny]]))/2)-0.5 + k_init=np.mat([[0.],[0.],[0.],[0.],[0.]]) + A=[] + b=[] + Sub_cc=np.mat([[1,0,-c_init[0]],[0,1,-c_init[1]],[0,0,1]]) + + for kk in range(1,n_ima+1): + if active_images[kk-1]: + exec('Hkk=H_'+str(kk)+'.copy()') + Hkk=Sub_cc*Hkk + + V_hori_pix=Hkk[:,0] + V_vert_pix=Hkk[:,1] + V_diag1_pix=(Hkk[:,0]+Hkk[:,1])/2 + V_diag2_pix=(Hkk[:,0]-Hkk[:,1])/2 + + V_hori_pix = V_hori_pix/np.linalg.norm(V_hori_pix); + V_vert_pix = V_vert_pix/np.linalg.norm(V_vert_pix); + V_diag1_pix = V_diag1_pix/np.linalg.norm(V_diag1_pix); + V_diag2_pix = V_diag2_pix/np.linalg.norm(V_diag2_pix); + + a1=V_hori_pix[0] + b1=V_hori_pix[1] + c1=V_hori_pix[2] + + a2=V_vert_pix[0] + b2=V_vert_pix[1] + c2=V_vert_pix[2] + + a3=V_diag1_pix[0] + b3=V_diag1_pix[1] + c3=V_diag1_pix[2] + + a4=V_diag2_pix[0] + b4=V_diag2_pix[1] + c4=V_diag2_pix[2] + + A_kk=np.zeros((2,2)) + A_kk[0,0]=a1*a2 + A_kk[0,1]=b1*b2 + A_kk[1,0]=a3*a4 + A_kk[1,1]=b3*b4 + b_kk=np.zeros((2,1)) + b_kk[0,0]=-(c1*c2) + b_kk[1,0]=-(c3*c4) + + A_kk_row=A_kk.shape[0] + A_kk_col=A_kk.shape[1] + A=np.append(A,A_kk) + A=A.reshape(A_kk_row*kk,A_kk_col) + + b_kk_row=b_kk.shape[0] + b_kk_col=b_kk.shape[1] + b=np.append(b,b_kk) + b=b.reshape(b_kk_row*kk,b_kk_col) + + b=np.mat(b) + A=np.mat(A) + if two_focals_init==0: + if ((b.T)*(sum(A.T).T))<0: + two_focals_init = 1 + + + f_init=( np.sqrt( ( (b.T)*(sum(A.T).T) )/(b.T*b) ) )[0,0]*np.mat(np.ones((2,1))) + + alpha_init = 0 + + KK=np.mat([[f_init[0,0],alpha_init*f_init[0,0],c_init[0,0]],[0,f_init[1,0],c_init[1,0]],[0,0,1]]) + + inv_KK=inv(KK) + + cc=c_init.copy() + fc=f_init.copy() + kc=k_init.copy() + alpha_c=copy.deepcopy(alpha_init) + + print '\n\nCalibration parameters after initialization:\n\n' + print 'Focal Length: fc = [ ',fc[0,0],' ',fc[1,0],' ]\n' + print 'Principal point: cc = [ ',cc[0,0],' ',cc[1,0],' ]\n' + print 'Skew: alpha_c = [ ',alpha_c,' ] => angle of pixel = ',90 - math.atan(alpha_c)*180/math.pi,'degrees\n' + print 'Distortion: kc = [ ',kc[0,0],kc[1,0],kc[2,0],kc[3,0],kc[4,0],' ]\n' + ###init_intrinsic_param end### + + ###go_calib_optim_iter### + alpha_smooth=0.1 + est_fc=np.mat([[1.],[1.]]) + + if np.prod(est_dist)==0: + kc=np.mat(kc) + kc=np.multiply(kc,est_dist) + ###comp_ext_calib### + N_points_views=np.mat(np.zeros((1,n_ima))) + + for kk in range(1,n_ima+1): + exec('x_kk=x_'+str(kk)+'.copy()') + exec('X_kk=X_'+str(kk)+'.copy()') + N_points_views[0,kk-1] = x_kk.shape[1] + ###comput_extrinsic function### + extrinsic_init_out=compute_extrinsic_init(x_kk,X_kk,fc,cc,kc,alpha_c) + omckk=extrinsic_init_out[0] + Tckk=extrinsic_init_out[1] + + + extrinsic_refine_out=compute_extrinsic_refine(omckk,Tckk,x_kk,X_kk,fc,cc,kc,alpha_c,20,thresh_cond) + omckk=extrinsic_refine_out[0] + Tckk=extrinsic_refine_out[1] + Rckk=extrinsic_refine_out[2] + JJ_kk=extrinsic_refine_out[3] + + + ##################################### + if check_cond: + if np.linalg.cond(JJ_kk)>thresh_cond: + active_images[kk-1]=0 + omckk=0*np.mat(np.ones((3,1))) + Tckk=0*np.mat(np.ones((3,1))) + print '\nWarning: View #',kk,' ill-conditioned. This image is now set inactive.\n' + desactivated_images.append(kk) + + + exec('omc_'+str(kk)+'=omckk.copy()') + exec('Tc_'+str(kk)+'=Tckk.copy()') + + ###comp_ext_calib end### + + ###go_calib_optim_iter### + init_param=[fc,cc,alpha_c,kc,[0,0,0,0,0]] + + for kk in range(1,n_ima+1): + exec('omckk=omc_'+str(kk)+'.copy()') + exec('Tckk=Tc_'+str(kk)+'.copy()') + init_param.append(omckk) + init_param.append(Tckk) + + + + print '\nMain calibration optimization procedure - Number of images: ',len(ind_active),'\n' + + param=init_param[:] + + change=1 + Iter=0 + + print 'Gradient descent iteration: ' + + ###param to param_temp - type difference### + param_size=np.size(param) + + param_temp=np.mat(np.zeros((15+(param_size-5)*3,1))) + + param_temp[0:2,0]=param[0] + param_temp[2:4,0]=param[1] + param_temp[4,0]=param[2] + param_temp[5:10,0]=param[3] + param_temp1=np.mat(param[4]).T + param_temp[10:15,0]=param_temp1 + + for kk in range(0,param_size-5): + param_temp[kk*3+15:kk*3+18,0]=param[kk+5] + + param_list=param_temp.copy() + + + + while (change>(1e-9))&(Iterthresh_cond: + active_images[kk]=0 + print '\nWarning: View #',kk,' ill-conditioned. This image is now set inactive.(note: to disactivate this option, set check_cond=0)\n' + desactivated_images.append(kk) + param[5+2*kk]=np.mat(np.ones((3,1))) + param[6+2*kk]=np.mat(np.ones((3,1))) + + svs_temp1=center_optim*np.mat(np.ones((2,1))) + + svs_temp2=np.reshape((np.mat(np.ones((6,1)))*np.mat(active_images)).T,(6*n_ima,1)) + est_fc_row,est_fc_col=est_fc.shape + est_dist_row,est_dist_col=est_dist.shape + svs_temp1_row,svs_temp1_col=svs_temp1.shape + svs_temp2_row,svs_temp2_col=svs_temp2.shape + selected_variables=np.mat(np.zeros((est_fc_row+svs_temp1_row+6+est_dist_row+svs_temp2_row,1))) + selected_variables[0:est_fc_row,0]=est_fc + selected_variables[est_fc_row:est_fc_row+svs_temp1_row,0]=svs_temp1 + selected_variables[est_fc_row+svs_temp1_row,0]=est_alpha + selected_variables[est_fc_row+svs_temp1_row+1:est_fc_row+svs_temp1_row+1+est_dist_row,0]=est_dist + selected_variables[est_fc_row+svs_temp1_row+6+est_dist_row:est_fc_row+svs_temp1_row+6+est_dist_row+svs_temp2_row,0]=svs_temp2 + + ind_Jac=np.where(selected_variables)[0] + + rep_ind_Jac=numpy.matlib.repmat(ind_Jac,ind_Jac.shape[1],1) + JJ3=JJ3[rep_ind_Jac.T,rep_ind_Jac] + + ex3=ex3[ind_Jac,0].T + + + JJ2_inv=sps.csr_matrix(inv((JJ3.todense()).T)) + + alpha_smooth2 = 1-(1-alpha_smooth)**(Iter+1) + + param_innov = alpha_smooth2*JJ2_inv*ex3 + + + param_size=np.size(param) + + param_temp=np.mat(np.zeros((15+(param_size-5)*3,1))) + + param_temp[0:2,0]=param[0] + param_temp[2:4,0]=param[1] + param_temp[4,0]=param[2] + param_temp[5:10,0]=param[3] + param_temp1=np.mat(param[4]).T + param_temp[10:15,0]=param_temp1 + + for kk in range(0,param_size-5): + param_temp[kk*3+15:kk*3+18,0]=param[kk+5] + + param_up = param_temp[ind_Jac,0].T + param_innov + + param_temp[ind_Jac,0] = param_up.T + + fc_current = param_temp[0:2] + cc_current = param_temp[2:4] + + if center_optim: + if ((param_temp[2]<0)|(param_temp[2]>nx)|(param_temp[3]<0)|(param_temp[3]>ny)): + print 'Warning: it appears that the principal point cannot be estimated. Setting center_optim = 0\n' + center_optim=0 + cc_current= c + else: + cc_current = param_temp[2:4] + + else: + cc_current = param_temp[2:4] + + alpha_current = param_temp[4,0] + kc_current =param_temp[5:10] + + if (est_aspect_ratio==0) & (est_fc.all()==np.mat([[1],[1]]).all()): + fc_current[1] = fc_current[0] + param_temp[1] = param_temp[0] + + fc_current_row,fc_current_col=fc_current.shape + cc_current_row,cc_current_col=cc_current.shape + + fccc=np.mat(np.zeros((fc_current_row+cc_current_row,fc_current_col))) + fccc[0:fc_current_row,:]=fc_current + fccc[fc_current_row:fc_current_row+cc_current_row,:]=cc_current + + f_row,f_col=f.shape + c_row,c_col=c.shape + fc_temp=np.mat(np.zeros((f_row+c_row,f_col))) + fc_temp[0:f_row,:]=f + fc_temp[f_row:f_row+c_row,:]=c + + change = np.linalg.norm(fccc-fc_temp)/np.linalg.norm(fccc) + + + + if recompute_extrinsic: + MaxIter2=20 + for kk in ind_active: + omc_current = param_temp[15+6*(kk[0]):15+6*(kk[0]) + 3] + Tc_current = param_temp[15+6*(kk[0])+3:15+6*(kk[0]) + 6] + exec('X_kk=X_'+str(kk[0]+1)+'.copy()') + exec('x_kk=x_'+str(kk[0]+1)+'.copy()') + extrinsic_init_out=compute_extrinsic_init(x_kk,X_kk,fc_current,cc_current,kc_current,alpha_current) + omc_current=extrinsic_init_out[0] + Tc_current=extrinsic_init_out[1] + + + extrinsic_refine_out=compute_extrinsic_refine(omc_current,Tc_current,x_kk,X_kk,fc_current,cc_current,kc_current,alpha_current,MaxIter2,thresh_cond) + omckk=extrinsic_refine_out[0] + Tckk=extrinsic_refine_out[1] + Rckk=extrinsic_refine_out[2] + JJ_kk=extrinsic_refine_out[3] + + if check_cond: + if (np.linalg.cond(JJ_kk)>thresh_cond): + active_images[kk[0]]=0 + print ('\nWarning: View #%d ill-conditioned. This image is now set inactive. (note: to disactivate this option, set check_cond=0)\n') + desactivated_images=desactivated_images.append(kk[0]+1) + omckk=None + Tckk=None + + param_temp[15+6*(kk[0]):15+6*(kk[0]) + 3]=omckk + param_temp[15+6*(kk[0])+3:15+6*(kk[0]) + 6]=Tckk + + ####param_temp to param - dont use now### + param[0]=param_temp[0:2,0] + param[1]=param_temp[2:4,0] + param[2]=param_temp[4,0] + param[3]=param_temp[5:10,0] + param[4][0]=param_temp[10,0] + param[4][1]=param_temp[11,0] + param[4][2]=param_temp[12,0] + param[4][3]=param_temp[13,0] + param[4][4]=param_temp[14,0] + + for kk in range(0,param_size-5): + param[5+kk]=param_temp[kk*3+15:kk*3+18,0] + + ########################################### + + + + param_list_row,param_list_col=param_list.shape + param_list_temp=np.mat(np.zeros((param_list_row,param_list_col+1))) + param_list_temp[:,0:param_list_col]=param_list + param_list_temp[:,param_list_col]=param_temp + param_list=param_list_temp + + + Iter=Iter+1 + + + print 'done\n' + print 'Estimation of uncertainties...' + + solution = param_temp + + fc=solution[0:2,0] + cc=solution[2:4,0] + alpha_c=solution[4,0] + kc=solution[5:10,0] + + for kk in range(0,n_ima): + if active_images[kk]: + omckk=solution[15+6*(kk):15+6*(kk) + 3,0] + Tckk=solution[15+6*(kk) + 3:15+6*(kk) + 6,0] + rodri_out=rodrigues(omckk) + Rckk=rodri_out[0] + else: + omckk=None + Tckk=None + Rckk=None + exec('omc_'+str(kk+1)+'=omckk.copy()') + exec('Rc_'+str(kk+1)+'=Rckk.copy()') + exec('Tc_'+str(kk+1)+'=Tckk.copy()') + + + + ### comp_error_calib ### + ex=np.mat(np.zeros((2,1))) + x=np.mat(np.zeros((2,1))) + y=np.mat(np.zeros((2,1))) + + for kk in range(0,n_ima): + exec('omckk=omc_'+str(kk+1)+'.copy()') + exec('Tckk=Tc_'+str(kk+1)+'.copy()') + + if (active_images[kk])&(('omckk' in globals().keys())|('omckk' in locals().keys())): + exec('project2_out=project_points2(X_'+str(kk+1)+',omckk,Tckk,fc,cc,kc,alpha_c)') + exec('y_'+str(kk+1)+'=project2_out[0]') + exec('ex_'+str(kk+1)+'=x_'+str(kk+1)+'-y_'+str(kk+1)) + exec('x_kk=x_'+str(kk+1)+'.copy()') + if ex.shape[1]!=1: + ex_row,ex_col=ex.shape + exec('ex_'+str(kk+1)+'_row,ex_'+str(kk+1)+'_col=ex_'+str(kk+1)+'.shape') + exec('ex_temp=np.mat(np.zeros((ex_row,ex_col+ex_'+str(kk+1)+'_col)))') + exec('ex_temp[:,0:ex_col]=ex') + exec('ex_temp[:,ex_col:ex_col+ex_'+str(kk+1)+'_col]=ex_'+str(kk+1)) + ex=ex_temp.copy() + + x_row,x_col=x.shape + exec('x_'+str(kk+1)+'_row,x_'+str(kk+1)+'_col=x_'+str(kk+1)+'.shape') + exec('x_temp=np.mat(np.zeros((x_row,x_col+x_'+str(kk+1)+'_col)))') + exec('x_temp[:,0:x_col]=x') + exec('x_temp[:,x_col:x_col+x_'+str(kk+1)+'_col]=x_'+str(kk+1)) + x=x_temp.copy() + + y_row,y_col=y.shape + exec('y_'+str(kk+1)+'_row,y_'+str(kk+1)+'_col=y_'+str(kk+1)+'.shape') + exec('y_temp=np.mat(np.zeros((y_row,y_col+y_'+str(kk+1)+'_col)))') + exec('y_temp[:,0:y_col]=y') + exec('y_temp[:,y_col:y_col+y_'+str(kk+1)+'_col]=y_'+str(kk+1)) + y=y_temp.copy() + else: + exec('ex=ex_'+str(kk+1)+'.copy()') + exec('x=x_'+str(kk+1)+'.copy()') + exec('y=y_'+str(kk+1)+'.copy()') + else: + exec('ex_'+str(kk+1)+'=None') + + err_std=np.std(ex,axis=1) + ex_temp=np.reshape(ex.T,(np.size(ex),1)) + sigma_x=np.std(ex_temp,axis=0) + N_points_views_active = N_points_views[0,ind_active.T] + JJ3=sps.csr_matrix((15 + 6*n_ima,15 + 6*n_ima)) + for kk in ind_active: + omckk = param_temp[15+6*(kk[0]):15+6*(kk[0]) + 3,0] + Tckk = param_temp[15+6*(kk[0])+3:15+6*(kk[0]) + 6,0] + exec('X_kk=X_'+str(kk[0]+1)+'.copy()') + Np=N_points_views[0,kk[0]] + + project2_out = project_points2(X_kk,omckk,Tckk,fc,cc,kc,alpha_c) + + x=project2_out[0] + dxdom=project2_out[1] + dxdT=project2_out[2] + dxdf=project2_out[3] + dxdc=project2_out[4] + dxdk=project2_out[5] + dxdalpha=project2_out[6] + + A=np.mat(np.zeros((dxdf_row,dxdf_col+dxdc_col+dxdalpha_col+dxdk_col))) + A[:,0:dxdf_col]=dxdf + A[:,dxdf_col:dxdf_col+dxdc_col]=dxdc + A[:,dxdf_col+dxdc_col:dxdf_col+dxdc_col+dxdalpha_col]=dxdalpha + A[:,dxdf_col+dxdc_col+dxdalpha_col:dxdf_col+dxdc_col+dxdalpha_col+dxdk_col]=dxdk + + A=A.T + + B=np.mat(np.zeros((dxdom_row,dxdom_col+dxdT_col))) + + B[:,0:dxdom_col]=dxdom + B[:,dxdom_col:dxdom_col+dxdT_col]=dxdT + + B=B.T + + + + JJ3[0:10,0:10]=JJ3[0:10,0:10]+A*(A.T) + JJ3[15+6*kk:15+6*kk + 6,15+6*kk:15+6*kk + 6]=B*(B.T) + + AB=A*(B.T) + + JJ3[0:10,15+6*kk:15+6*kk + 6] = AB + JJ3[15+6*kk:15+6*kk + 6,0:10] = (AB).T + + + JJ3=JJ3[rep_ind_Jac.T,rep_ind_Jac] + JJ2_inv=sps.csr_matrix(inv((JJ3.todense()).T)) + + param_error=np.mat(np.zeros((6*n_ima+15,1))) + + param_error[ind_Jac,0] = (3*np.sqrt( np.mat(np.diag(JJ2_inv.todense())).T )*sigma_x[0,0]).T + + solution_error = param_error.copy() + + fc=solution[0:2] + cc=solution[2:4] + alpha_c=solution[4] + kc=solution[5:10] + + fc_error = solution_error[0:2] + cc_error = solution_error[2:4] + alpha_c_error = solution_error[4] + kc_error = solution_error[5:10] + + + KK=np.mat(np.zeros((3,3))) + KK[0,0]=fc[0,0] + KK[0,1]=fc[0,0]*alpha_c + KK[0,2]=cc[0,0] + KK[1,1]=fc[1,0] + KK[1,2]=cc[1,0] + KK[2,2]=1 + + inv_KK=inv(KK) + + + for kk in range(0,n_ima): + if active_images[kk]: + omckk = solution[15+6*(kk):15+6*(kk) + 3] + Tckk = solution[15+6*(kk) + 3:15+6*(kk) + 6] + omckk_error = solution_error[15+6*(kk):15+6*(kk) + 3] + Tckk_error = solution_error[15+6*(kk) + 3:15+6*(kk) + 6] + + rodri_out = rodrigues(omckk) + Rckk=rodri_out[0] + Rckk_temp=np.mat(np.zeros((3,3))) + Rckk_temp[:,0]=Rckk[:,0] + Rckk_temp[:,1]=Rckk[:,1] + Rckk_temp[:,2]=Tckk + Hkk = KK * Rckk_temp + Hkk = Hkk / Hkk[2,2] + else: + omckk = None + Tckk = None + Rckk = None + Hkk = None + omckk_error =None + Tckk_error = None + + + + exec ('omc_'+str(kk)+' = omckk.copy()') + exec ('Rc_'+str(kk)+' = Rckk.copy()') + exec ('Tc_'+str(kk)+' = Tckk.copy()') + exec ('H_'+str(kk)+'= Hkk.copy()') + exec ('omc_error_'+str(kk)+' = omckk_error.copy()') + exec ('Tc_error_'+str(kk)+' = Tckk_error.copy()') + + + print 'done\n' + print '\n\nCalibration results after optimization (with uncertainties):\n\n' + print 'Focal Length: fc = [ ',fc[0],fc[1],']?[',fc_error[0],fc_error[1],']\n' + print 'Principal point: cc = [ ',cc[0],cc[1],']?[',cc_error[0],cc_error[1],']\n' + print 'Skew: alpha_c = [ ',alpha_c,']?[',alpha_c_error,'=> angle of pixel axes =',90 - np.arctan(alpha_c)*180/math.pi ,'?',np.arctan(alpha_c_error)*180/math.pi,'degrees\n' + print 'Distortion: kc = [ ',kc[0],kc[1],kc[2],kc[3],kc[4],'] ?[', kc_error[0],kc_error[1],kc_error[2],kc_error[3],kc_error[4],' ]\n' + print 'Pixel error: err = [ ',err_std[0],err_std[1],' ]\n\n' + print 'Note: The numerical errors are approximately three times the standard deviations (for reference).\n\n\n' + + + print '\n\nCalibration results R,T' + for kk in range(0,n_ima): + exec('Tckk=Tc_'+str(kk+1)+'.copy()') + exec('Rckk=Rc_'+str(kk+1)+'.copy()') + print 'T',kk+1,' : [',Tckk[0], Tckk[0], Tckk[0],']\n' + print 'R',kk+1,' : [',Rckk[0,0], Rckk[0,1], Rckk[0,2],']\n' + print '\t[',Rckk[1,0], Rckk[1,1], Rckk[1,2],']\n' + print '\t[',Rckk[2,0], Rckk[2,1], Rckk[2,2],']\n' + + + +#########compute_homography################### +def compute_homography(m,M): + global kbw + Np=m.shape[1] + if m.shape[0]<3: + mm=np.ones((m.shape[0]+1,m.shape[1])) + mm[0:m.shape[0],:]=m + m=mm.copy() + if M.shape[0]<3: + MM=np.ones((M.shape[0]+1,M.shape[1])) + MM[0:M.shape[0],:]=M + M=MM.copy() + m=np.multiply(m,1/(np.ones((3,1))*m[2,:])) + M=np.multiply(M,1/(np.ones((3,1))*M[2,:])) + + ax = m[0,:] + ay = m[1,:] + + mxx = np.mean(ax) + myy = np.mean(ay) + ax = ax-mxx + ay = ay-myy + + scxx = np.mean(abs(ax)) + scyy = np.mean(abs(ay)) + Hnorm = np.mat([[1/scxx,0,-mxx/scxx],[0,1/scyy,-myy/scyy],[0,0,1]]) + inv_Hnorm = np.mat([[scxx,0,mxx],[0,scyy,myy],[0,0,1]]) + + mn = Hnorm*m + + L=np.zeros((2*Np,9)) + L[0:2*Np:2,0:3]=M.T + L[1:2*Np:2,3:6]=M.T + L[0:2*Np:2,6:9]=-(np.multiply(np.ones((3,1))*mn[0,:],M)).T + L[1:2*Np:2,6:9]=-(np.multiply(np.ones((3,1))*mn[1,:],M)).T + L=np.mat(L) + if Np>4: + L=L.T*L + + U,S,V=np.linalg.svd(L) + V=V.T + hh=V[:,8] + hh=hh/hh[8] + Hrem=np.reshape(hh,(3,3)) + H = inv_Hnorm*Hrem + H=np.mat(H) + if Np>4: + hhv=H.reshape(9,1) + hhv=hhv[0:8,0] + + for hiter in range(1,11): + + mrep=H*M + J=np.mat(np.zeros((2*Np,8))) + MMM=np.multiply(M,1/(np.mat(np.ones((3,1)))*mrep[2,:])) + + J[0:2*Np:2,0:3]=-(MMM.T) + J[1:2*Np:2,3:6]=-(MMM.T) + + mrep=np.multiply(mrep,1/(np.mat(np.ones((3,1)))*mrep[2,:])) + + m_err = m[0:2,:]-mrep[0:2,:] + m_err_row=np.size(m_err) + m_err = (m_err.T).reshape(m_err_row,1) + + MMM2=np.multiply(np.mat(np.ones((3,1)))*mrep[0,:],MMM) + MMM3=np.multiply(np.mat(np.ones((3,1)))*mrep[1,:],MMM) + + J[0:2*Np:2,6:8]=MMM2[0:2,:].T + J[1:2*Np:2,6:8]=MMM3[0:2,:].T + + MMM=np.multiply(M,1/(np.mat(np.ones((3,1)))*mrep[2,:])).T + + hh_innov=inv((J.T)*J)*(J.T)*m_err + hhv_up=np.mat(np.ones((hhv.shape[0]+1,hhv.shape[1]))) + + hhv_up[0:hhv.shape[0],:] = hhv - hh_innov + + H_up = hhv_up.reshape(3,3) + + hhv=hhv_up[0:8,:] + H=H_up.copy() + + + return H,Hnorm,inv_Hnorm +#############count_squares################## +def count_squares(I,x1,y1,x2,y2,win): + global kbw1 + ny=np.size(I,0) + nx=np.size(I,1) + if (x1-win <= 0) | (x1+win >= nx) | (y1-win <= 0) | (y1+win >= ny) |(x2-win <= 0) | (x2+win >= nx) | (y2-win <= 0) | (y2+win >= ny): + ns = -1 + return ns + if ((x1-x2)**2+(y1-y2)**2)abs(dy): + if x2[0,0]>x1[0,0]: + xs=np.arange(x1[0,0],x2[0,0]+0.00000001) + else : + xs=np.arange(x1[0,0],x2[0,0]-0.00000001,-1) + ys = -(llambda[2,0]+llambda[0,0]*xs)/llambda[1,0] + else : + if y2[0,0]>y1[0,0]: + ys=np.arange(y1[0,0],y2[0,0]+0.00000001) + else: + ys=np.arange(y1[0,0],y2[0,0]-0.00000001,-1) + xs = -(llambda[2,0]+llambda[1,0]*ys)/llambda[0,0] + Np=len(xs) + xs_mat=np.ones((2*win+1,1))*xs + ys_mat=np.ones((2*win+1,1))*ys + win_mat=(np.mat(np.arange(-win,win+0.00001)).T)*np.ones((1,Np)) + xs_mat2=np.round(xs_mat-win_mat*llambda[0,0]) + ys_mat2=np.round(ys_mat-win_mat*llambda[1,0]) + ind_mat = (xs_mat2-1)*ny+ys_mat2 + ima_patch=np.zeros((2*win+1,Np)) + indshape=ind_mat.shape + + for j in range(indshape[1]): + for i in range(indshape[0]): + ima_patch[i,j]=I[(ind_mat[i,j]-1)%480][math.floor((ind_mat[i,j]-1)/480)] + + filtk=np.ones((win*2+1,Np)) + filtk[win,:]=np.zeros((1,Np)) + filtk[(win+1):,:]=-np.ones((win,Np)) + filtk=np.mat(filtk) + out_f=sum(np.multiply(filtk,ima_patch)) + out_f_f=signal.convolve2d(out_f,np.mat([1./4,1./2,1./4]),'same') + out_f_f=out_f_f[0,win:out_f_f.shape[1]-win] + ns_temp=(out_f_f[1:out_f_f.shape[0]]>=0)&(out_f_f[0:out_f_f.shape[0]-1]<0)|((out_f_f[1:out_f_f.shape[0]]<=0)&(out_f_f[0:out_f_f.shape[0]-1]>0)) + ns_ind=[] + for i in range(ns_temp.shape[0]): + if ns_temp[i]==True: + ns_ind.append(i) + ns=len(ns_ind)+1 + return ns + +#############cornerfinder######## +def cornerfinder(xt,I,wintx,winty): + global kbw + global kbw1 + line_feat =1 + xt=xt.T + xt=np.fliplr(xt) + + wx2=-1 + wy2=-1 + mask = np.exp(-np.mat(((arange(-wintx,wintx+1,dtype=float))/wintx)**2).T) * np.exp(-np.mat((arange(-winty,winty+1,dtype=float)/winty)**2)) + X,Y=np.meshgrid(arange(-wintx,wintx+1,dtype=float),arange(-winty,winty+1,dtype=float)) + mask2 = X**2+Y**2 + mask2[wintx,winty]=1 + mask2=1/mask2 + ###no problem both offx, offy are float + offx=(np.mat(arange(-wintx,wintx+1,dtype=float)).T)*np.ones([1,2*winty+1],dtype=float) + offy=np.ones([2*wintx+1,1])*arange(-winty,winty+1) + + resolution = 0.005 + MaxIter = 10 + nx = np.size(I,0) + ny = np.size(I,1) + + N=np.size(xt,0) + + xc=xt.copy() + ttype = np.zeros([1,N]) + + for i in range(0,N): #0~N-1 + v_extra = resolution +1 + compt =0 + while (np.linalg.norm(v_extra)>resolution) & (compt 0: + vIx = (np.mat([itIx, 1-itIx, 0])).T + else: + vIx = (np.mat([0, 1+itIx, -itIx])).T + + if itIy > 0: + vIy = (np.mat([itIy, 1-itIy, 0])) + else: + vIy = (np.mat([0, 1+itIy, -itIy])) + + if crIx-wintx-2 < 0 : + xmin=0 + xmax = 2*wintx+4 + elif crIx+wintx+2 > nx-1: + xmax = nx-1 + xmin = nx-2*wintx-5 + else: + xmin = crIx-wintx-2 + xmax = crIx+wintx+2 + if crIy-winty-2 < 0: + ymin=0 + ymax = 2*winty+4 + elif crIy+winty+2 > ny-1: + ymax = ny-1 + ymin = ny-2*winty-5 + else: + ymin = crIy-winty-2 + ymax = crIy+winty+2 + + SI = I[xmin:xmax+1,ymin:ymax+1] + SI = signal.convolve2d(signal.convolve2d(SI,vIx,'same'),vIy,'same') + SI = SI[1:2*wintx+4,1:2*winty+4] + + gx,gy = np.gradient(SI) + gx = gx[1:2*wintx+2,1:2*winty+2] + gy = gy[1:2*wintx+2,1:2*winty+2] + + px=cIx+offx + py=cIy+offy + + gxx = np.multiply(np.multiply(gx,gx),mask) + gyy = np.multiply(np.multiply(gy,gy),mask) + gxy = np.multiply(np.multiply(gx,gy),mask) + + bb=np.mat([np.sum(np.multiply(gxx,px)+np.multiply(gxy,py)),np.sum(np.multiply(gxy,px)+np.multiply(gyy,py))]).T + + a=np.sum(gxx) + b=np.sum(gxy) + c=np.sum(gyy) + + dt=a*c-(b**2) + + xc2 = np.mat([float(c*bb[0]-b*bb[1]), a*bb[1]-b*bb[0]])/dt + + + if line_feat: + G=np.mat([[a,b],[b,c]]) + U,S,V=np.linalg.svd(G) + + if S[0]/S[1]>50: + xc2=xc2 + np.sum( np.multiply( (xc[i,:]-xc2) , ((V[:,1]).T) ) )*(V[:,1].T) + ttype[0,i]=1 + + v_extra = xc[i,:]-xc2 + xc[i,:] = xc2 + compt = compt +1 + + + delta_x = xc[:,0]-xt[:,0] + delta_y = xc[:,1]-xt[:,1] + + bad = (abs(delta_x)>wintx)|(abs(delta_y)>winty) + good = ~bad + in_bad = np.where(bad>0) + xc[in_bad,:]=xt[in_bad,:] + + xc=np.fliplr(xc) + xc=xc.T + bad=bad.T + good=good.T + + return xc, good, bad, ttype + +####################click calib####################### +def click_calib(): + global ima_numbers + global ima_proc + global kk_first + global wintx + global winty + global manual_squares + global x + global y + global point + global n_sq_x_default + global n_sq_y_default + global dX_default + global dY_default + global kbw + global kbw1 + active_images=[] + + ima_numbers = [input('Number(s) of image(s) to process (-1 = all images) = ')] + print ima_numbers #1~20 + if ima_numbers[0]<0: + ima_proc.append(range(1,n_ima+1)) + kk_first = ima_proc[0] + else: + ima_proc = [ima_numbers] + kk_first=ima_proc + print '\n',ima_proc + print 'Window size for corner finder (wintx and winty):' + wintx = input('wintx('+str(wintx_default)+')=') + winty = input('winty('+str(winty_default)+')=') + wintx=round(wintx) + winty=round(winty) + #xsquare=np.mat([wintx+.5, -(wintx+.5), -(wintx+.5), wintx+.5, wintx+.5]) + #ysquare=np.mat([winty+.5, winty+.5, -(winty+.5), -(winty+.5), winty+.5]) + print 'Window size =',2*wintx+1,'x',2*winty+1,'\n' + print 'Do you want to use the automatic square counting mechanism (0=default)' + manual_squares = input(' or do you always want to enter the number of squares manually (1,other)? ') + print manual_squares + + for kk in ima_proc[0]: + print '\nProcessing image', kk,'...\n' + print 'Using (wintx, winty)=(', wintx, winty,') - Window size =', 2*wintx+1,'x',2*winty+1 + exec('Ii=I_'+str(kk)) + print 'Click on the four extreme corners of the rectangular complete pattern (the first clicked corner is the origin)...' + x=[] + y=[] + imagefigure=plt.figure(kk) + figuremanager=plt.get_current_fig_manager() + figuremanager.window.geometry("+700+100") + plt.imshow(Ii,cmap=cm.Greys_r) + plt.axis([0,nx,ny,0]) + plt.title('Click on the four corners... Image'+str(kk)) + for count in range(0,4): + point=plt.ginput(1) + point=np.mat(point) + + cornerout=cornerfinder(point.T,Ii,winty,wintx) + xxi=np.mat(cornerout[0]) + + xi = xxi[0,0] + yi = xxi[1,0] + + x.append(xi) + y.append(yi) + + clickcornerplot=plt.plot(x,y,'+',color=[1.,0.314,0.51],markersize=10,markeredgewidth=3) + xmat=np.mat(xi) + ymat=np.mat(yi) + #kbw=xmat+np.mat([wintx+.5, -(wintx+.5), -(wintx+.5), wintx+.5, wintx+.5]) + #plt.plot(xmat+xsquare, ymat+ysquare, color=[1.,0.314,0.51],linewidth=10) + clicklineplot=plt.plot(x,y, linewidth=2.0, color=[1, 0, 0.7]) + Xii=x[:] + Yii=y[:] + x.append(x[0]) + y.append(y[0]) + clicklineplot=plt.plot(x,y, linewidth=2.0, color=[1, 0, 0.7]) + plt.draw() + #print np.mat([Xii,Yii]).T + cornerout2=cornerfinder(np.mat([Xii,Yii]),Ii,winty,wintx) + + x=cornerout2[0][0,:].T + y=cornerout2[0][1,:].T + x_mean=np.mean(x) + y_mean=np.mean(y) + x_v=x-x_mean + y_v=y-y_mean + theta=np.arctan2(-y_v,x_v) + sorttheta=(theta-theta[0])%(2*math.pi) + ind=sorted(range(len(sorttheta)),key=sorttheta.__getitem__) + ind=[item for item in reversed(ind)] + x1=x[ind[0]] + x2=x[ind[1]] + x3=x[ind[2]] + x4=x[ind[3]] + + y1=y[ind[0]] + y2=y[ind[1]] + y3=y[ind[2]] + y4=y[ind[3]] + x=np.mat([[x1[0,0]],[x2[0,0]],[x3[0,0]],[x4[0,0]]]) + y=np.mat([[y1[0,0]],[y2[0,0]],[y3[0,0]],[y4[0,0]]]) + + p_center = np.cross(np.cross(np.array([x1[0,0],y1[0,0],1]),np.mat([x3[0,0],y3[0,0],1])),np.cross(np.array([x2[0,0],y2[0,0],1]),np.mat([x4[0,0],y4[0,0],1]))) + + x5=p_center[0,0]/p_center[0,2] + y5=p_center[0,1]/p_center[0,2] + x6 = (x3 + x4)/2 + y6 = (y3 + y4)/2 + x7 = (x1 + x4)/2 + y7 = (y1 + y4)/2 + vX=np.mat([[x6[0,0]-x5],[y6[0,0]-y5]]) + vX = vX/np.linalg.norm(vX) + vY=np.mat([[x7[0,0]-x5],[y7[0,0]-y5]]) + vY = vY/np.linalg.norm(vY) + vO=np.mat([[x4[0,0]-x5],[y4[0,0]-y5]]) + vO = vO/np.linalg.norm(vO) + + delta = 30 + + plt.close(imagefigure) + imagefigure=plt.figure(kk+kk*10) + figuremanager=plt.get_current_fig_manager() + figuremanager.window.geometry("+700+100") + plt.imshow(Ii,cmap=cm.Greys_r) + plt.axis([0,nx,ny,0]) + plt.title('the four corners... Image'+str(kk)) + plt.plot(np.append([x[:,0]],[x[0,0]]),np.append([y[:,0]],[y[0,0]]),'g-') + plt.plot(x,y,'og') + hx=plt.text(x6 + delta * vX[0,0] ,y6 + delta*vX[1,0],'X',color='g',size=14) + hy=plt.text(x7 + delta * vY[0,0] ,y7 + delta*vY[1,0],'Y',color='g',size=14) + hy=plt.text(x4 + delta * vO[0,0] ,y4 + delta*vO[1,0],'O',color='g',size=14) + plt.draw() + plt.pause(.1) + + if manual_squares: + n_sq_x=input(['Number of squares along the X direction ([]='+str(n_sq_x_default)+')=']) + n_sq_x=input(['Number of squares along the X direction ([]='+str(n_sq_x_default)+')=']) + else : + n_sq_x1 = count_squares(Ii,x1,y1,x2,y2,wintx) + n_sq_x2 = count_squares(Ii,x3,y3,x4,y4,wintx) + n_sq_y1 = count_squares(Ii,x2,y2,x3,y3,wintx) + n_sq_y2 = count_squares(Ii,x4,y4,x1,y1,wintx) + n_sq_x = n_sq_x1 + n_sq_y = n_sq_y1 + + n_sq_x_default=n_sq_x + n_sq_y_default-n_sq_y + if (kk==1)|(np.size(ima_proc)==1): + dX=input(['Size dX of each square along the X direction ([]='+str(dX_default)+'mm)=']) + dY=input(['Size dY of each square along the Y direction ([]='+str(dY_default)+'mm)=']) + if (dX!=dX_default)|(dY!=dY_default): + dX=input(['Type again size dX of each square along the X direction ([]='+str(dX_default)+'mm)=']) + dY=input(['Type again Size dY of each square along the Y direction ([]='+str(dY_default)+'mm)=']) + dX_default=dX + dY_default=dY + + + + a00=np.mat([[x[0,0]],[y[0,0]],[1]]) + a10=np.mat([[x[1,0]],[y[1,0]],[1]]) + a11=np.mat([[x[2,0]],[y[2,0]],[1]]) + a01=np.mat([[x[3,0]],[y[3,0]],[1]]) + a001=np.mat([[x[0,0],x[1,0],x[2,0],x[3,0]],[y[0,0],y[1,0],y[2,0],y[3,0]],[1,1,1,1]]) + a002=np.mat([[0, 1, 1, 0],[0, 0, 1, 1],[1, 1, 1, 1]]) + + homographyout=compute_homography(a001,a002) + + Homo=homographyout[0] + Hnorm=homographyout[1] + inv_Hnorm=homographyout[2] + x_l=(np.mat(range(n_sq_x+1)).T*np.ones((1,n_sq_y+1)))/n_sq_x + y_l=(np.ones((n_sq_x+1,1))*np.mat(range(n_sq_y+1)))/n_sq_y + pts=np.ones((3,(n_sq_x+1)*(n_sq_y+1))) + for j in range(x_l.shape[1]): + for i in range(x_l.shape[0]): + pts[0,i+j*x_l.shape[0]]=x_l[i,j] + pts[1,i+j*x_l.shape[0]]=y_l[i,j] + pts=np.mat(pts) + XX=Homo*pts + XX=np.multiply(XX[0:2,:],1/(np.mat(np.ones((2,1)))*XX[2,:])) + W = n_sq_x*dX + L = n_sq_y*dY + Np = (n_sq_x+1)*(n_sq_y+1) + print 'Corner extraction...' + cornerout3 = cornerfinder(XX,Ii,winty,wintx) + grid_pts=cornerout3[0] + grid_pts = grid_pts - 1 + + + ind_corners=np.mat([0, n_sq_x, ((n_sq_x+1)*n_sq_y),(n_sq_x+1)*(n_sq_y+1)-1]) + ind_orig=((n_sq_x+1)*n_sq_y) + + xorig=grid_pts[0,ind_orig] + yorig=grid_pts[1,ind_orig] + dxpos=np.zeros((2,grid_pts.shape[0])) + for i in range(grid_pts.shape[0]): + dxpos[0,i]=np.mat(grid_pts[i,ind_orig]) + dxpos[1,i]=np.mat(grid_pts[i,ind_orig+1]) + dxpos=np.mat(dxpos) + dxpos=np.mean(dxpos,axis=0) + dypos=np.zeros((2,grid_pts.shape[0])) + for i in range(grid_pts.shape[0]): + dypos[0,i]=np.mat(grid_pts[i,ind_orig]) + dypos[1,i]=np.mat(grid_pts[i,ind_orig-n_sq_x-1]) + dypos=np.mat(dypos) + dypos=np.mean(dypos,axis=0) + + raw_input('Press enter to continue: ') + plt.close(imagefigure) + + imagefigure2=plt.figure(kk*100) + figuremanager=plt.get_current_fig_manager() + figuremanager.window.geometry("+700+100") + plt.imshow(Ii,cmap=cm.Greys_r) + plt.title('Extracted corners') + plt.axis([0,nx,ny,0]) + plt.plot(grid_pts[0,:]+1,grid_pts[1,:]+1,'r+',markersize=10,markeredgewidth=3) + plt.plot(xorig+1,yorig+1,'*m') + plt.text(xorig+delta*vO[0],yorig+delta*vO[1],'O',color='m',size=14) + plt.text(dxpos[0,0]+delta*vX[0],dxpos[0,1]+delta*vX[1],'dX',color='m',size=14) + plt.text(dypos[0,0]+delta*vY[0],dypos[0,1]+delta*vY[1],'dY',color='g',size=14) + plt.draw() + plt.pause(.1) + raw_input('Press enter to continue: ') + plt.close(imagefigure2) + + Xi=np.reshape((((np.mat(np.arange(0,n_sq_x+1))*dX).T)*(np.ones((1,n_sq_y+1)))).T,(Np,1)).T + Yi=np.reshape(((np.ones((n_sq_x+1,1)))*(np.mat(np.arange(n_sq_y,-1,-1))*dY)).T,(Np,1)).T + Zi=np.mat(np.zeros((1,Np))) + + + Xgrid = np.mat(np.zeros((3,Np))) + Xgrid[0,:]=Xi[0,:] + Xgrid[1,:]=Yi[0,:] + + x=grid_pts.copy() + #X=Xgrid.copy() + + + exec('dX_'+str(kk)+'=dX') in locals(),globals() + exec('dY_'+str(kk)+'=dY') in locals(),globals() + + exec('wintx_'+str(kk)+'=wintx') in locals(),globals() + exec('winty_'+str(kk)+'=winty') in locals(),globals() + + exec('x_'+str(kk)+'=x') in locals(),globals() + exec('X_'+str(kk)+'=Xgrid') in locals(),globals() + + exec('n_sq_x_'+str(kk)+'=n_sq_x') in locals(),globals() + exec('n_sq_y_'+str(kk)+'=n_sq_y') in locals(),globals() + + + active_images.append(1) + ind_active=np.transpose(np.nonzero(active_images)) + string_save=[active_images,ind_active,wintx,winty,n_ima,nx,ny,dX_default,dY_default,dX,dY,wintx_default,winty_default] + for kk in np.arange(1,n_ima+1): + exec('string_save.append(X_'+str(kk)+')') + exec('string_save.append(x_'+str(kk)+')') + exec('string_save.append(n_sq_x_'+str(kk)+')') + exec('string_save.append(n_sq_y_'+str(kk)+')') + exec('string_save.append(wintx_'+str(kk)+')') + exec('string_save.append(winty_'+str(kk)+')') + exec('string_save.append(dX_'+str(kk)+')') + exec('string_save.append(dY_'+str(kk)+')') + + with open('objs.pickle','w') as f: + pickle.dump(string_save,f) + + + + +#########################show_window function##################### +def show_window(cell_list, fig_number, title_figure, x_size, y_size, gap_x, font_name, font_size): + + + + def but1() : print "Button was pushed" ####callback function + + + if 'cell_list' not in locals().keys(): + print 'No description of the functions' + + if 'fig_number' not in locals().keys(): + fig_number = 1 + + if 'title_figure' not in locals().keys(): + title_figure = '' + + if 'x_size' not in locals().keys(): + x_size = 85 + + if 'y_size' not in locals().keys(): + y_size = 14 + + if 'gap_x' not in locals().keys(): + gap_x = 0 + + if 'font_name' not in locals().keys(): + font_name='clean' + + if 'font_size' not in locals().keys(): + font_size = 8 + + + n_row=cell_list.shape[0] + n_col=cell_list.shape[1] + + fig_size_x=x_size*n_col+(n_col+1)*gap_x + fig_size_y=y_size*n_row+(n_row+1)*gap_x + + + + win=Tk() + win.title("Camera Calibration Toolbox - Standard Version") + #f= Frame(win) #small window in whole window + pos_x=win.winfo_rootx() + pos_y=win.winfo_rooty() + win.geometry('%dx%d+%d+%d' % (500,40,700,300)) + + + """ + posx=np.zeros((n_row,n_col)) + posy=np.zeros((n_row,n_col)) + + + for i in range(1,n_row): + for j in range(1,n_col): + posx[n_row-i][n_col-j]=gap_x+(n_col-j)*(x_size+gap_x) + posy[n_row-i][n_col-j]=fig_size_y - (n_row-i+1)*(gap_x+y_size) + + + ###button instance problem + #h_mat = np.zeros((n_row,n_col)) + button instance problem + for i in range(1,n_row): + for j in range(1,n_col): + if cell_list[n_row-i][n_col-j][0] and cell_list[n_row-i][n_col-j][1]: + h_mat[n_row-i][n_col-j]=Button(win, text=cell_list[n_row-i][n_col-j][0], width=x_size, command=but1) + h_mat[n_row-i][n_col-j].grid(row = posx[n_row-i][n_col-j], column=posy[n_row-i][n_col-j])""" + + xsize=35 + ysize=2 + + b1=Button(win,text=cell_list[0][2][0],width=xsize, height=ysize,command=eval(cell_list[0][2][1])) + b2=Button(win,text=cell_list[0][3][0],width=xsize, height=ysize,command=eval(cell_list[0][3][1])) + + b1.grid(row=0, column=0) + b2.grid(row=0, column=1) + + + + """l=Label(win, text="Camera Calibration Toolbox - Standard Version") + l.pack()""" + + #win.pack() + + win.mainloop() + +###############data_calib function############## + +def data_calib(): + + #cv2.imshow('calib_image',ima);cv2.waitKey(0) + plt.imshow(I_1) + plt.show() + + + + """print "go home" + f = open("image_name_calib.txt",'r') + while 1: + line=f.readline() + if not line: break + ima=cv2.imread(line) + cv2.imshow('imageshow',ima) + cv2.waitKey(1000) + print(line) + f.close()""" + + +################################################ + +if __name__ == "__main__": + cell_list=np.empty([4,4,2],dtype='S80') + #cell_list=[[0 for col in range(4)] for row in range(4)] + + fig_number = 1 + + title_figure = 'Camera Calibration Toolbox - Standard Version' + + kc = np.zeros((5,1)) + + c=np.array([[0 for col in range(4)] for row in range(4)]) + cell_list[0][0] = ['Image names','data_calib'] + cell_list[0][1] = ['Read images','ima_read_calib'] #none + cell_list[0][2] = ['Extract grid corners','click_calib'] + cell_list[0][3] = ['Calibration','go_calib_optim'] #here + cell_list[1][0] = ['Show Extrinsic','ext_calib'] + cell_list[1][1] = ['Reproject on images','reproject_calib'] + cell_list[1][2] = ['Analyse error','analyse_error'] + cell_list[1][3] = ['Recomp. corners','recomp_corner_calib'] + cell_list[2][0] = ['Add/Suppress images','add_suppress'] + cell_list[2][1] = ['Save','saving_calib'] + cell_list[2][2] = ['Load','loading_calib'] + cell_list[2][3] = ['Exit','close'] + cell_list[3][0] = ['Comp. Extrinsic','extrinsic_computation'] + cell_list[3][1] = ['Undistort image','undistort_image'] + cell_list[3][2] = ['Export calib data','export_calib_data'] + cell_list[3][3] = ['Show calib results','show_calib_results'] + + + show_window(cell_list, fig_number, title_figure, 130, 18, 0, 'clean', 12) + + diff --git a/calibration/image_name_calib.txt b/calibration/image_name_calib.txt new file mode 100644 index 0000000..cfdebc7 --- /dev/null +++ b/calibration/image_name_calib.txt @@ -0,0 +1,20 @@ +Image1.tif +Image2.tif +Image3.tif +Image4.tif +Image5.tif +Image6.tif +Image7.tif +Image8.tif +Image9.tif +Image10.tif +Image11.tif +Image12.tif +Image13.tif +Image14.tif +Image15.tif +Image16.tif +Image17.tif +Image18.tif +Image19.tif +Image20.tif diff --git a/calibration/objs.pickle b/calibration/objs.pickle new file mode 100644 index 0000000..35a3af4 --- /dev/null +++ b/calibration/objs.pickle @@ -0,0 +1,845 @@ +(lp0 +(lp1 +I1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 +aI1 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