sinogram_design — TOMOGRAPHY layout op

• Datenarten: keine → table (ein Operator, der allein durch seine Argumente bestimmt ist — er nimmt kein Bild und keine Daten entgegen)

• Aufruf: import fullseye as fs; fs.ledger.sinogram_design(n_angles=180, n_detectors=None, size=256, detector_pitch_mm=1.0, span_deg=180.0) (die Implementierung direkt: import tomography; tomography.sinogram_design(n_angles=180, n_detectors=None, size=256, detector_pitch_mm=1.0, span_deg=180.0); aus dem Register: opstomography.get("sinogram_design"))

Verwendung

Was eine Scangeometrie auflösen kann und was nicht — bevor irgendetwas gebaut wird.

> Die ausführliche Beschreibung unten ist der Originaltext — Zusammenfassung und Überschriften sind übersetzt.

The axial counterpart of visiondesign.imaging_budget and of interferometry.csi_design: no data goes in, only the geometry, and what comes out are the limits that the geometry has already decided.

Returns a dict with, among others:

• resolvable_feature_mm — 2 * pitch: two detector samples per cycle is the Nyquist floor, and no reconstruction algorithm recovers a detail finer than the detector saw.

• views_for_full_sampling — ceil(pi/2 * n_detectors), the classical matching of angular to radial sampling (VIEWS_PER_DETECTOR).

• undersampling_factor — that number over n_angles. 1.0 or below is a fully sampled scan. Above it you are doing sparse-view CT on purpose and the reconstruction algorithm has to make up the difference; the measured cost is in this module's docstring and in the test suite's break table.

• streak_free_radius_px — 1 / d(theta) with d(theta) in radians: the radius, in pixels, at which the *azimuthal* sample spacing between neighbouring views (r * d(theta)) grows past one sample. Outside it, filtered back-projection lays down visible streaks. For 180 views over 180 degrees this is 57.3 px, i.e. a 256-px phantom is already streaking at its corners. It does not depend on the detector pitch: the radius is quoted in the same unit the sample spacing is, so the pitch cancels (pitch / d(theta) is the same radius in millimetres, which is what an earlier version returned under the pixel label — 28.6 "px" at 0.5 mm, 114.6 at 2 mm, for a geometry whose streak radius had not changed).

• sinogram_bytes / elements — what you are about to allocate.

• verdict — "fully sampled" / "sparse view".

:param n_angles: planned number of views. :param n_detectors: planned detector bins; None -> enough to cover the

diagonal of a *size* x *size* image.

:param size: reconstruction grid side in pixels. :param detector_pitch_mm: physical detector bin spacing. :param span_deg: angular range of the scan. :returns: dict of floats / ints / str. :raises ValueError: on non-int counts, non-positive pitch or span.

Referenzen (Beispieldaten, Literatur)

• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).

• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.

• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.

Ausführbare Beispiele (verifizierte Samples, die diesen Operator wirklich aufrufen)

• ct_reconstruction — py -3.11 examples/ct_reconstruction.py

• tomography_reconstruct — py -3.11 examples/tomography_reconstruct.py

Typkompatible Folge-Operatoren (nehmen table als Eingabe)

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Gleiche Kategorie (layout)

projection_angles


*Provenance: tomography.py — TOMOGRAPHY Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*

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