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astra_envelope.py
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import astra
import numpy as np
from tomopy.misc.phantom import shepp2d, shepp3d
def build_proj_geometry_parallel_2d(detector_size, angles, detector_spacing_x=1.0):
"""
:param detector_size:
:param angles: degrees
:return:
"""
angles_rad = np.asarray(angles) * np.pi / 180
proj_geom = astra.create_proj_geom('parallel',
detector_spacing_x, detector_size, angles_rad)
return proj_geom
def build_proj_geometry_fan_2d(detector_size, angles, source_object, object_det, detector_spacing_x=1.0):
"""
:param detector_size:
:param angles: degrees
:param source_object:
:param object_det:
:return:
"""
angles_rad = np.asarray(angles) * np.pi / 180
proj_geom = astra.create_proj_geom("fanflat", detector_spacing_x, detector_size, angles_rad,
source_object, object_det)
return proj_geom
def build_volume_geometry_2d(rec_size):
"""
:param rec_size:
:return:
"""
vol_geom = astra.create_vol_geom(rec_size, rec_size)
return vol_geom
def astra_recon_2d(sinogram, proj_geom, method=[['FBP_CUDA', 1]], data=None):
"""
:param proj_geom:
:param sinogram:
:param method:
:param data:
:return:
"""
methods = parse_recon_methods(method)
detector_size = sinogram.shape[-1]
rec_size = detector_size
vol_geom = build_volume_geometry_2d(rec_size)
sinogram_id = astra.data2d.create('-sino', proj_geom, data=sinogram)
# Create a data object for the reconstruction
rec_id = astra.data2d.create('-vol', vol_geom, data)
alg_id = None
for m in methods:
cfg = astra.astra_dict(m[0])
cfg['ReconstructionDataId'] = rec_id
cfg['ProjectionDataId'] = sinogram_id
cfg['option'] = m[2]
alg_id = astra.algorithm.create(cfg)
astra.algorithm.run(alg_id, m[1])
astra.algorithm.delete(alg_id)
tomo_rec = astra.data2d.get(rec_id)
# Clean up. Note that GPU memory is tied up in the algorithm object,
# and main RAM in the data objects.
astra.data2d.delete(rec_id)
astra.data2d.delete(sinogram_id)
astra.clear()
return tomo_rec
def parse_recon_methods(method):
methods = []
if isinstance(method, str):
methods.append([method, 1, {}])
elif isinstance(method, list):
for m in method:
if not isinstance(m, list):
raise ValueError('Need a list. {} given'.format(m))
elif len(m) == 1:
methods.append([m[0], 1, {}])
elif len(m) == 2:
methods.append([m[0], m[1], {}])
elif len(m) == 3:
methods.append(m)
else:
raise ValueError('Error in methods list: {}'.format(m))
else:
raise ValueError('Need a string, list. {} given'.format(method))
return methods
def test_parse_recon_methods():
assert parse_recon_methods('FBP') == [['FBP', 1, {}]]
assert parse_recon_methods([['FBP', 1]]) == [['FBP', 1, {}]]
# assert parse_recon_methods(['FBP', 1]) != [['FBP', 1, {}]]
assert parse_recon_methods([['FBP_CUDA'], ['CGLS_CUDA', 10]]) == [['FBP_CUDA', 1, {}], ['CGLS_CUDA', 10, {}]]
def astra_bp_2d_parallel(sinogram, angles, data=None):
detector_size = sinogram.shape[-1]
proj_geom = build_proj_geometry_parallel_2d(detector_size, angles)
rec = astra_recon_2d(sinogram, proj_geom, "BP_CUDA", data)
return rec
def astra_recon_2d_parallel(sinogram, angles, method=[['FBP_CUDA', 1]], data=None):
detector_size = sinogram.shape[-1]
proj_geom = build_proj_geometry_parallel_2d(detector_size, angles)
rec = astra_recon_2d(sinogram, proj_geom, method, data)
return rec
def astra_recon_2d_fan(sinogram, angles, source_object, object_det,
method=[['FBP_CUDA', 1]], data=None):
detector_size = sinogram.shape[-1]
proj_geom = build_proj_geometry_fan_2d(detector_size, angles, source_object, object_det)
rec = astra_recon_2d(sinogram, proj_geom, method, data)
return rec
def astra_fp_2d(volume, proj_geom):
"""
:param proj_geom:
:param volume:
:return:3D sinogram
"""
detector_size = volume.shape[1]
rec_size = detector_size
vol_geom = build_volume_geometry_2d(rec_size)
sinogram_id = astra.data2d.create('-sino', proj_geom)
# Create a data object for the reconstruction
rec_id = astra.data2d.create('-vol', vol_geom, data=volume)
# Set up the parameters for a reconstruction algorithm using the GPU
cfg = astra.astra_dict('FP_CUDA')
cfg['VolumeDataId'] = rec_id
cfg['ProjectionDataId'] = sinogram_id
cfg['option'] = {}
alg_id = astra.algorithm.create(cfg)
astra.algorithm.run(alg_id, 1)
res_sino = astra.data2d.get(sinogram_id)
# Clean up. Note that GPU memory is tied up in the algorithm object,
# and main RAM in the data objects.
astra.algorithm.delete(alg_id)
astra.data2d.delete(rec_id)
astra.data2d.delete(sinogram_id)
astra.clear()
return res_sino
def astra_fp_2d_parallel(volume, angles):
"""
:param volume:
:param angles: degrees
:return:
"""
detector_size = volume.shape[1]
proj_geom = build_proj_geometry_parallel_2d(detector_size, angles)
rec = astra_fp_2d(volume, proj_geom)
return rec
def astra_fp_2d_fan(volume,
angles,
source_object,
object_det,
detector_size=None
):
"""
:param volume:
:param angles: degrees
:return:
"""
if not detector_size:
detector_size = volume.shape[1]
proj_geom = build_proj_geometry_fan_2d(detector_size, angles, source_object, object_det)
rec = astra_fp_2d(volume, proj_geom)
return rec
def build_volume_geometry_3d(rec_size, slices_number):
"""
:param rec_size:
:param slices_number:
:return:
"""
vol_geom = astra.create_vol_geom(rec_size, rec_size, slices_number)
return vol_geom
def build_proj_geometry_parallel_3d(slices_number, detector_size, angles,
detector_spacing_x=1.0, detector_spacing_y=1.0):
"""
:param slices_number:
:param detector_size:
:param angles: degrees
:return:
"""
angles_rad = np.asarray(angles) * np.pi / 180
proj_geom = astra.create_proj_geom('parallel3d',
detector_spacing_x, detector_spacing_y,
slices_number, detector_size, angles_rad)
return proj_geom
def build_proj_geometry_cone_3d(slices_number, detector_size, angles, source_object, object_det,
detector_spacing_x=1.0, detector_spacing_y=1.0):
"""
:param slices_number:
:param detector_size:
:param angles: degrees
:param source_object:
:param object_det:
:return:
"""
angles_rad = np.asarray(angles) * np.pi / 180
proj_geom = astra.create_proj_geom('cone', detector_spacing_x, detector_spacing_y,
slices_number, detector_size, angles_rad,
source_object, object_det)
return proj_geom
def build_proj_geometry_parallell_vector_3d(slices_number, detector_size, angles, bragg=0):
"""
:param slices_number:
:param detector_size:
:param angles: degrees
:param bragg: degrees
:return:
"""
angles_rad = np.asarray(angles) * np.pi / 180
vectors = np.zeros((len(angles_rad), 12))
alpha = - bragg * np.pi / 180 # define bragg angle
for i in range(len(angles_rad)):
# ray direction
vectors[i, 0] = np.sin(angles_rad[i]) * np.cos(alpha)
vectors[i, 1] = -np.cos(angles_rad[i]) * np.cos(alpha)
vectors[i, 2] = np.sin(alpha)
# center of detector
vectors[i, 3:6] = 0
# vector from detector pixel (0,0) to (0,1)
vectors[i, 6] = np.cos(angles_rad[i])
vectors[i, 7] = np.sin(angles_rad[i])
vectors[i, 8] = 0
# vector from detector pixel (0,0) to (1,0)
vectors[i, 9] = 0
vectors[i, 10] = 0
vectors[i, 11] = 1
# Parameters: #rows, #columns, vectors
proj_geom = astra.create_proj_geom('parallel3d_vec', slices_number, detector_size, vectors)
return proj_geom
def astra_fp_3d(volume, proj_geom):
"""
:param proj_geom:
:param volume:
:return:3D sinogram
"""
detector_size = volume.shape[1]
slices_number = volume.shape[0]
rec_size = detector_size
vol_geom = build_volume_geometry_3d(rec_size, slices_number)
sinogram_id = astra.data3d.create('-sino', proj_geom)
# Create a data object for the reconstruction
rec_id = astra.data3d.create('-vol', vol_geom, data=volume)
# Set up the parameters for a reconstruction algorithm using the GPU
cfg = astra.astra_dict('FP3D_CUDA')
cfg['VolumeDataId'] = rec_id
cfg['ProjectionDataId'] = sinogram_id
cfg['option'] = {}
alg_id = astra.algorithm.create(cfg)
astra.algorithm.run(alg_id, 1)
res_sino = astra.data3d.get(sinogram_id)
# Clean up. Note that GPU memory is tied up in the algorithm object,
# and main RAM in the data objects.
astra.algorithm.delete(alg_id)
astra.data3d.delete(rec_id)
astra.data3d.delete(sinogram_id)
astra.clear()
return res_sino
def astra_fp_3d_parallel(volume, angles):
"""
:param volume:
:param angles: degrees
:return:
"""
detector_size = volume.shape[1]
slices_number = volume.shape[0]
proj_geom = build_proj_geometry_parallel_3d(slices_number, detector_size, angles)
rec = astra_fp_3d(volume, proj_geom)
return rec
def astra_fp_3d_parallel_vec(volume, angles, bragg=0):
"""
:param volume:
:param angles: degrees
:return:
"""
detector_size = volume.shape[1]
slices_number = volume.shape[0]
proj_geom = build_proj_geometry_parallell_vector_3d(slices_number, detector_size, angles, bragg)
rec = astra_fp_3d(volume, proj_geom)
return rec
def astra_fp_3d_cone(volume, angles, source_object, object_det):
"""
:param volume:
:param angles: radians
:param source_object
:param object_det
:return:
"""
detector_size = volume.shape[1]
slices_number = volume.shape[0]
proj_geom = build_proj_geometry_cone_3d(slices_number, detector_size, angles, source_object, object_det)
rec = astra_fp_3d(volume, proj_geom)
return rec
def astra_fp_3d_fan(volume, angles, source_object, object_det):
"""
:param volume:
:param angles: radians
:param source_object
:param object_det
:return:
"""
detector_size = volume.shape[1]
slices_number = volume.shape[0]
angles_number = len(angles)
rec = np.zeros((slices_number, angles_number, detector_size), dtype='float32')
proj_geom = build_proj_geometry_fan_2d(detector_size, angles, source_object, object_det)
for s in range(slices_number):
sino_t = astra_fp_2d(np.flipud(volume[s]), proj_geom) # TODO: check why we should flipud
rec[s] = sino_t
return rec
def astra_recon_3d(sinogram, proj_geom, method=['CGLS3D_CUDA', 10], data=None):
"""
:param proj_geom:
:param sinogram:
:param method:
:param n_iters:
:param data:
:return:
"""
methods = parse_recon_methods(method)
detector_size = sinogram.shape[-1]
slices_number = sinogram.shape[0]
rec_size = detector_size
vol_geom = astra.create_vol_geom(rec_size, rec_size, slices_number)
sinogram_id = astra.data3d.create('-sino', proj_geom, data=sinogram)
# Create a data object for the reconstruction
rec_id = astra.data3d.create('-vol', vol_geom, data)
alg_id = None
for m in methods:
cfg = astra.astra_dict(m[0])
cfg['ReconstructionDataId'] = rec_id
cfg['ProjectionDataId'] = sinogram_id
cfg['option'] = m[2]
alg_id = astra.algorithm.create(cfg)
astra.algorithm.run(alg_id, m[1])
astra.algorithm.delete(alg_id)
tomo_rec = astra.data3d.get(rec_id)
# Clean up. Note that GPU memory is tied up in the algorithm object,
# and main RAM in the data objects.
astra.data3d.delete(rec_id)
astra.data3d.delete(sinogram_id)
astra.clear()
return tomo_rec
def astra_recon_3d_parallel(sinogram, angles, method=['CGLS3D_CUDA', 10], data=None):
detector_size = sinogram.shape[2]
slices_number = sinogram.shape[0]
proj_geom = build_proj_geometry_parallel_3d(slices_number, detector_size, angles)
rec = astra_recon_3d(sinogram, proj_geom, method, data)
return rec
def astra_recon_3d_parallel_vec(sinogram, angles, bragg, method=['CGLS3D_CUDA', 10], data=None):
detector_size = sinogram.shape[2]
slices_number = sinogram.shape[0]
proj_geom = build_proj_geometry_parallell_vector_3d(slices_number, detector_size, angles, bragg)
rec = astra_recon_3d(sinogram, proj_geom, method, data)
return rec
def astra_recon_3d_cone(sinogram, angles, source_object, object_det, method=['CGLS3D_CUDA', 10], data=None):
detector_size = sinogram.shape[2]
slices_number = sinogram.shape[0]
proj_geom = build_proj_geometry_cone_3d(slices_number, detector_size, angles, source_object, object_det)
rec = astra_recon_3d(sinogram, proj_geom, method, data)
return rec
def test_2d_parallel():
phantom = np.squeeze(shepp2d(128))
angles = np.arange(0, 180, 1)
sinogram = astra_fp_2d_parallel(phantom, angles)
rec = astra_recon_2d_parallel(sinogram, angles,
[['FBP_CUDA'],
['CGLS_CUDA', 10]]
)
diff = rec - phantom
err = np.sqrt(np.sum(diff ** 2)) / np.prod(rec.shape)
assert (err < 0.1)
#
# plt.figure(figsize=(6, 10))
# plt.subplot(211)
# plt.imshow(phantom - rec)
# plt.colorbar()
#
# plt.subplot(212)
# plt.imshow(rec)
# plt.colorbar()
# plt.show()
def test_3d_parallel():
phantom = np.squeeze(shepp3d(128))
angles = np.arange(0, 180, 1)
sinogram = astra_fp_3d_parallel(phantom, angles)
rec = astra_recon_3d_parallel(sinogram, angles,
[['CGLS3D_CUDA', 10]]
)
diff = rec - phantom
err = np.sqrt(np.sum(diff ** 2)) / np.prod(rec.shape)
assert (err < 0.1)
#
# plt.figure(figsize=(6, 10))
# plt.subplot(211)
# plt.imshow(phantom - rec)
# plt.colorbar()
#
# plt.subplot(212)
# plt.imshow(rec)
# plt.colorbar()
# plt.show()