shepp_logan_3d — TOMOGRAPHY ct_scan op

• Data kinds: none → voxel (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.shepp_logan_3d(size=128, supersample=2) (to call the implementation directly, import ctscan; ctscan.shepp_logan_3d(size=128, supersample=2); from the registry, opstomography.get("shepp_logan_3d"))

• GPU: none (CPU reference implementation only)

Usage

The modified 3-D Shepp-Logan head phantom on a size-cube.

The in-plane ellipses are those of tomography.SHEPP_LOGAN, with extents along z, so a CT reconstruction has an exact volume to be measured against, and ellipsoid_projections has the exact data for it.

:param size: edge of the cube, 2 .. 1024; or (Z, Y, X). :param supersample: anti-alias factor per axis, 1 .. 4. :returns: float64 volume spanning [0, 1]. :raises ValueError: on an oversized grid.

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)

• ct_scan_modes — py -3.11 examples/ct_scan_modes.py

• poc_ct_casting_sparse_views — py -3.11 examples/poc_ct_casting_sparse_views.py

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

radon_volume · ct_forward_project

Same category (ct_scan)

ct_scan_geometry · ellipsoid_phantom · ellipsoid_projections · ct_forward_project · ct_adjoint_project · fdk_reconstruct · sirt_reconstruct · os_sart_reconstruct


*Provenance: ctscan.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.