def test_adjoint_scaling(self):
vol_rn = Rn(self.geom.vol_size)
vol_rn_ones = vol_rn.element(1)
proj_rn = Rn(self.geom.proj_size)
proj_rn_ones = proj_rn.element(1)
projector = Projector(self.geom, vol_rn, proj_rn)
proj1 = projector.forward(vol_rn_ones)
vol1 = projector.backward(proj_rn_ones)
n1 = proj1.inner(proj_rn_ones)
n2 = vol_rn_ones.inner(vol1)
print('<A x, y> = <x, Ad y> : {0} = {1}'.format(n1, n2))
print('<A x, y> / <x, Ad y> - 1 = {0}'.format(n1/n2 - 1))
proj = projector.forward(vol_rn_ones)
vol = projector.backward(proj)
alpha = proj.norm()**2 / vol_rn._inner(vol, vol_rn_ones)
print alpha
projector.clear_astra_memory()
def test_ndim(self):
vshape = (88, 77)
vsize = np.prod(vshape)
cols = 99
angles = np.linspace(0, 2 * np.pi, 111, endpoint=False)
psize = cols * np.size(angles)
geom = Geometry(geometry_type='parallel', scale_factor=1,
volume_shape=vshape, det_col_count=cols,
det_row_count=1, angles=angles)
print 'Vol size: ', vsize
print 'Proj size:', psize
print 'Voxel size:', self.geom.voxel_size
vol_rn = Rn(vsize)
proj_rn = Rn(psize)
projector = Projector(geom, vol_rn, proj_rn)
proj = projector.forward(vol_rn.element(1))
p = proj.data.reshape(geom.proj_shape)
print 'Proj at 0 degree: max = ', p[0, :].max()
vol = projector.backward(proj_rn.element(1))
print vol.data.max()
projector.clear_astra_memory()
def test_adjoint_scaling(self):
vol_rn = Rn(self.geom.vol_size)
vol_rn_ones = vol_rn.element(1)
proj_rn = Rn(self.geom.proj_size)
proj_rn_ones = proj_rn.element(1)
projector = Projector(self.geom, vol_rn, proj_rn)
proj1 = projector.forward(vol_rn_ones)
vol1 = projector.backward(proj_rn_ones)
n1 = proj1.inner(proj_rn_ones)
n2 = vol_rn_ones.inner(vol1)
print('<A x, y> = <x, Ad y> : {0} = {1}'.format(n1, n2))
print('<A x, y> / <x, Ad y> - 1 = {0}'.format(n1 / n2 - 1))
proj = projector.forward(vol_rn_ones)
vol = projector.backward(proj)
alpha = proj.norm()**2 / vol_rn._inner(vol, vol_rn_ones)
print alpha
projector.clear_astra_memory()
def test_ndim(self):
vshape = (88, 77)
vsize = np.prod(vshape)
cols = 99
angles = np.linspace(0, 2 * np.pi, 111, endpoint=False)
psize = cols * np.size(angles)
geom = Geometry(geometry_type='parallel',
scale_factor=1,
volume_shape=vshape,
det_col_count=cols,
det_row_count=1,
angles=angles)
print 'Vol size: ', vsize
print 'Proj size:', psize
print 'Voxel size:', self.geom.voxel_size
vol_rn = Rn(vsize)
proj_rn = Rn(psize)
projector = Projector(geom, vol_rn, proj_rn)
proj = projector.forward(vol_rn.element(1))
p = proj.data.reshape(geom.proj_shape)
print 'Proj at 0 degree: max = ', p[0, :].max()
vol = projector.backward(proj_rn.element(1))
print vol.data.max()
projector.clear_astra_memory()
def test_odlprojector_instance(self):
# Create cubic unit volume
vol_rn = Rn(self.geom.vol_size)
vol = np.ones(self.geom.vol_shape)
vol_rn_vec = vol_rn.element(vol.ravel())
# Create projections
proj_rn = Rn(self.geom.proj_size)
proj = np.ones(self.geom.proj_size)
proj_rn_vec = proj_rn.element(proj.ravel())
vol_norm_0 = vol_rn_vec.norm()
self.assertEqual(vol_norm_0**2, np.sqrt(self.geom.vol_size)**2)
proj_norm_0 = proj_rn_vec.norm()
self.assertEqual(proj_norm_0**2, np.sqrt(self.geom.proj_size)**2)
# ODLProjector instance
projector = Projector(self.geom, vol_rn, proj_rn)
proj_rn_vec = projector.forward(vol_rn_vec)
proj_norm_1 = proj_rn_vec.norm()
self.assertNotEqual(proj_norm_0, proj_norm_1)
vol_rn_vec = projector.backward(proj_rn_vec)
vol_norm_1 = vol_rn_vec.norm()
self.assertNotEqual(vol_norm_0, vol_norm_1)
proj_rn_vec = projector.forward(vol_rn_vec)
proj_norm_2 = proj_rn_vec.norm()
self.assertNotEqual(proj_norm_1, proj_norm_2)
vol_rn_vec = projector.backward(proj_rn_vec)
vol_norm_2 = vol_rn_vec.norm()
self.assertNotEqual(vol_norm_2, vol_norm_1)
projector.clear_astra_memory()
print 'vol norms:', vol_norm_0, vol_norm_1, vol_norm_2
print 'proj norms', proj_norm_0, proj_norm_1, proj_norm_2
def test_odlprojector_instance(self):
# Create cubic unit volume
vol_rn = Rn(self.geom.vol_size)
vol = np.ones(self.geom.vol_shape)
vol_rn_vec = vol_rn.element(vol.ravel())
# Create projections
proj_rn = Rn(self.geom.proj_size)
proj = np.ones(self.geom.proj_size)
proj_rn_vec = proj_rn.element(proj.ravel())
vol_norm_0 = vol_rn_vec.norm()
self.assertEqual(vol_norm_0**2, np.sqrt(self.geom.vol_size)**2)
proj_norm_0 = proj_rn_vec.norm()
self.assertEqual(proj_norm_0**2, np.sqrt(self.geom.proj_size)**2)
# ODLProjector instance
projector = Projector(self.geom, vol_rn, proj_rn)
proj_rn_vec = projector.forward(vol_rn_vec)
proj_norm_1 = proj_rn_vec.norm()
self.assertNotEqual(proj_norm_0, proj_norm_1)
vol_rn_vec = projector.backward(proj_rn_vec)
vol_norm_1 = vol_rn_vec.norm()
self.assertNotEqual(vol_norm_0, vol_norm_1)
proj_rn_vec = projector.forward(vol_rn_vec)
proj_norm_2 = proj_rn_vec.norm()
self.assertNotEqual(proj_norm_1, proj_norm_2)
vol_rn_vec = projector.backward(proj_rn_vec)
vol_norm_2 = vol_rn_vec.norm()
self.assertNotEqual(vol_norm_2, vol_norm_1)
projector.clear_astra_memory()
print 'vol norms:', vol_norm_0, vol_norm_1, vol_norm_2
print 'proj norms', proj_norm_0, proj_norm_1, proj_norm_2
