ellipsoid_projections — TOMOGRAPHY ct_scan op

• Data kinds: ctgeometry → projstack

• Call: import fullseye as fs; fs.ledger.ellipsoid_projections(geometry, ellipsoids=None, device='auto') (to call the implementation directly, import ctscan; ctscan.ellipsoid_projections(geometry, ellipsoids=None, device='auto'); from the registry, opstomography.get("ellipsoid_projections"))

• GPU: none (CPU reference implementation only)

Usage

Exact line integrals of a sum of ellipsoids, for any scan in this family.

Each ray is mapped to the frame where the ellipsoid is a unit sphere, and the chord length comes from the quadratic's discriminant. No voxels, no interpolation and no projector are involved, which is what makes this the ground truth the projector and every reconstruction here are measured against.

:param geometry: dict from ct_scan_geometry. :param ellipsoids: (N, 8) rows; None gives SHEPP_LOGAN_3D. :param device: "auto", "cpu" or "cuda". :returns: (view, V, U) float array. :raises ValueError: on a geometry not from ct_scan_geometry.

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 projstack as input)

ct_adjoint_project · fdk_reconstruct · sirt_reconstruct · os_sart_reconstruct · tv_reconstruct · ct_dual_energy_reconstruct

Same category (ct_scan)

ct_scan_geometry · shepp_logan_3d · ellipsoid_phantom · 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.