def tst_undistort_orig(self, distorted_xys, helper_args):
helper = reconstruct_utils.ReconstructHelper(*helper_args)
for xy in distorted_xys:
undistorted_xy = helper.undistort(*xy, n_iterations=50)
redistorted_xy = helper.distort(*undistorted_xy)
assert numpy.allclose(xy, redistorted_xy)
def tst_roundtrip(self, xys_orig_distorted, helper_args):
helper = reconstruct_utils.ReconstructHelper(*helper_args)
for xy_orig_distorted in xys_orig_distorted:
xy_undistorted = helper.undistort(
xy_orig_distorted[0], xy_orig_distorted[1], n_iterations=50
)
xy_distorted = helper.distort(xy_undistorted[0], xy_undistorted[1])
assert numpy.allclose(xy_distorted, xy_orig_distorted)
def tst_distort(self, pinhole_xys, helper_args):
helper = reconstruct_utils.ReconstructHelper(*helper_args)
for xy in pinhole_xys:
xd, yd = self._distort(helper_args, xy)
test_x, test_y = helper.distort(*xy)
rtol = 1e-4 # float32 not very accurate
assert numpy.allclose([xd, yd], [test_x, test_y], rtol=rtol)
def generate_calibration(
n_cameras=5,
return_full_info=False,
radial_distortion=False,
):
pi = numpy.pi
sccs = []
# 1. extrinsic parameters:
if 1:
# method 1:
# arrange cameras in circle around common point
common_point = numpy.array((0, 0, 0), dtype=numpy.float64)
r = 10.0
theta = numpy.linspace(0, 2 * pi, n_cameras, endpoint=False)
x = numpy.cos(theta)
y = numpy.sin(theta)
z = numpy.zeros(y.shape)
cc = numpy.c_[x, y, z]
#cam_up = numpy.array((0,0,1))
#cam_ups = numpy.resize(cam_up,cc.shape)
#cam_forwads = -cc
cam_centers = r * cc + common_point
# Convert up/forward into rotation matrix.
if 1:
Rs = []
for i, th in enumerate(theta):
pos = cam_centers[i]
target = common_point
up = (0, 0, 1)
if 0:
print 'pos', pos
print 'target', target
print 'up', up
R = cgtypes.mat4().lookAt(pos, target, up)
#print 'R4',R
R = R.getMat3()
#print 'R3',R
R = numpy.asarray(R).T
#print 'R',R
#print
Rs.append(R)
else:
# (Camera coords: looking forward -z, up +y, right +x)
R = cgtypes.mat3().identity()
if 1:
# (looking forward -z, up +x, right -y)
R = R.rotation(-pi / 2, (0, 0, 1))
# (looking forward +x, up +z, right -y)
R = R.rotation(-pi / 2, (0, 1, 0))
# rotate to point -theta (with up +z)
Rs = [R.rotation(float(th) + pi, (0, 0, 1)) for th in theta]
#Rs = [ R for th in theta ]
else:
Rs = [R.rotation(pi / 2.0, (1, 0, 0)) for th in theta]
#Rs = [ R for th in theta ]
Rs = [numpy.asarray(R).T for R in Rs]
print 'Rs', Rs
# 2. intrinsic parameters
resolutions = {}
for cam_no in range(n_cameras):
cam_id = 'fake_%d' % (cam_no + 1)
# resolution of image
res = (1600, 1200)
resolutions[cam_id] = res
# principal point
cc1 = res[0] / 2.0
cc2 = res[1] / 2.0
# focal length
fc1 = 1.0
fc2 = 1.0
alpha_c = 0.0
# R = numpy.asarray(Rs[cam_no]).T # conversion between cgkit and numpy
R = Rs[cam_no]
C = cam_centers[cam_no][:, numpy.newaxis]
K = numpy.array(((fc1, alpha_c * fc1, cc1), (0, fc2, cc2), (0, 0, 1)))
t = numpy.dot(-R, C)
Rt = numpy.concatenate((R, t), axis=1)
P = numpy.dot(K, Rt)
if 0:
print 'cam_id', cam_id
print 'P'
print P
print 'K'
print K
print 'Rt'
print Rt
print
KR = numpy.dot(K, R)
print 'KR', KR
K3, R3 = reconstruct.my_rq(KR)
print 'K3'
print K3
print 'R3'
print R3
K3R3 = numpy.dot(K3, R3)
print 'K3R3', K3R3
print '*' * 60
if radial_distortion:
f = 1000.0
r1 = 0.8
r2 = -0.2
helper = reconstruct_utils.ReconstructHelper(
f,
f, # focal length
cc1,
cc2, # image center
r1,
r2, # radial distortion
0,
0) # tangential distortion
scc = reconstruct.SingleCameraCalibration_from_basic_pmat(
P,
cam_id=cam_id,
res=res,
)
sccs.append(scc)
if 1:
# XXX test
K2, R2 = scc.get_KR()
if 0:
print 'C', C
print 't', t
print 'K', K
print 'K2', K2
print 'R', R
print 'R2', R2
print 'P', P
print 'KR|t', numpy.dot(K, Rt)
t2 = scc.get_t()
print 't2', t2
Rt2 = numpy.concatenate((R2, t2), axis=1)
print 'KR2|t', numpy.dot(K2, Rt2)
print
KR2 = numpy.dot(K2, R2)
KR = numpy.dot(K, R)
if not numpy.allclose(KR2, KR):
if not numpy.allclose(KR2, -KR):
raise ValueError('expected KR2 and KR to be identical')
else:
print 'WARNING: weird sign error in calibration math FIXME!'
recon = reconstruct.Reconstructor(sccs)
full_info = {
'reconstructor': recon,
'center': common_point, # where all the cameras are looking
'camera_dist_from_center': r,
'resolutions': resolutions,
}
if return_full_info:
return full_info
return recon