fbp_volume — TOMOGRAPHY volume op

Data kinds: sinostackvoxel

Call: import tomography; tomography.fbp_volume(stack, angles_deg=None, size=None, filter_name='ramp', cutoff=1.0, span_deg=None) (or opstomography.get("fbp_volume"))

Usage

Reconstruct every sinogram of a `(Z, A, D) stack -> a (Z, S, S)` volume.

The inverse of :func:radon_volume, slice by slice. The result is a plain

volume and every existing 3-D operator applies to it directly — windowing,

labelling, boundary extraction, marching cubes — which is the point of

returning `voxel` rather than something tomography-specific.

One number worth carrying into that pipeline: the reconstructed slice grid is

isotropic in-plane only. The slice spacing is whatever the scan used, and

it is usually coarser; the volume itself does not carry it. Passing this

volume to a measurement without its spacing is the most common way a

tomographic volume becomes a wrong number — see

`examples/tomography_reconstruct.py`, which measures the size of the error.

:param stack: `(Z, n_angles, n_detectors)`.

:param angles_deg: view angles; `None -> uniform [0, 180)`.

:param size: output side per slice; `None` -> the inscribed square.

:param filter_name: one of :data:FILTERS.

:param cutoff: fraction of Nyquist to keep.

:param span_deg: angular range for the `d(theta)` weight.

:returns: `(Z, size, size)` float64 volume.

:raises ValueError: on a non-3-D stack, or an output over

:data:MAX_STACK_ELEMENTS.

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

tomography_reconstructpy -3.11 examples/tomography_reconstruct.py

Ops the type connects to (they accept voxel as input)

radon_volume

Same category (volume)

radon_volume


*Provenance: tomography.py — TOMOGRAPHY operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.