These examples demonstrate the capability of ODL to perform tomographic projections, back-projections and filtered back-projection reconstruction in the various supported geometries. They also serve as copy-and-paste templates for the basic setup of more complex applications in tomography.
For examples on how to use the tomography operators in inverse problems, see the examples/solvers folder.
Note that several of these examples are best/only runnable with astra, which can be easily installed via:
conda install -c astra-toolbox astra-toolbox
If using astra is for some reason not possible, the 2d parallel beam examples can be run with scikit-image, installed by:
pip install scikit-image
| Example | Purpose | Complexity |
|---|---|---|
ray_trafo_parallel_2d.py |
Projection and back-projection in 2D parallel beam geometry | middle |
ray_trafo_parallel_2d_complex.py |
Projection and back-projection in 2D parallel beam geometry with complex-valued data | middle |
ray_trafo_cone_2d.py |
Projection and back-projection in 2D cone (=fan) beam geometry | middle |
| Example | Purpose | Complexity |
|---|---|---|
ray_trafo_parallel_3d.py |
Projection and back-projection in 3D parallel beam single-axis geometry | middle |
ray_trafo_cone_3d.py |
Projection and back-projection in 3D circular cone beam geometry | middle |
ray_trafo_helical_cone_3d.py |
Projection and back-projection in 3D helical cone beam geometry | middle |
anisotropic_voxels.py |
Projection in 3D parallel beam single-axis geometry with non-cube voxels | middle |
| Example | Purpose | Complexity |
|---|---|---|
filtered_backprojection_parallel_2d.py |
FBP reconstruction in 2D parallel beam geometry | middle |
filtered_backprojection_parallel_2d_complex.py |
FBP reconstruction in 2D parallel beam geometry with complex-valued data | middle |
filtered_backprojection_cone_2d.py |
(Inexact) FBP reconstruction in 2D fan beam geometry | middle |
filtered_backprojection_cone_2d_short_scan.py |
(Inexact) FBP reconstruction in 2D fan beam geometry with short scan (less than 360 degrees) | middle |
| Example | Purpose | Complexity |
|---|---|---|
filtered_backprojection_parallel_3d.py |
FBP reconstruction in 3D parallel beam single-axis geometry | middle |
filtered_backprojection_cone_3d.py |
(Inexact) FBP reconstruction in 3D circular cone beam geometry | middle |
filtered_backprojection_cone_3d_short_scan.py |
(Inexact) FBP reconstruction in 3D circular cone beam geometry with short scan (less than 360 degrees) | middle |
filtered_backprojection_helical_3d.py |
(Inexact) FBP reconstruction in 3D helical cone beam geometry | middle |