sinogram_design — TOMOGRAPHY layout op

데이터 종류: 없음table(인자만으로 정해지는 연산자 —— 이미지나 데이터 입력을 받지 않습니다)

호출: import tomography; tomography.sinogram_design(n_angles=180, n_detectors=None, size=256, detector_pitch_mm=1.0, span_deg=180.0)(또는 opstomography.get("sinogram_design"))

사용법

그 스캔 기하로 무엇을 해상할 수 있고 없는가 —— 만들기 전에.

> 아래 상세 설명은 원문입니다 —— 요약과 제목은 번역되어 있습니다.

The axial counterpart of :func:visiondesign.imaging_budget and of

:func: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_mm2 * 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_samplingceil(pi/2 * n_detectors)`, the classical

matching of angular to radial sampling (:data: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_px1 / 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.

참고(샘플 데이터·문헌)

• 샘플 데이터 카탈로그(DL URL / 라이선스) —— 2-D 는 skimage.data(BSD/public)+ 합성, 3-D 는 실데이터 소스(Stanford/PDS 등)의 DL URL.

• 연산자의 내력·참고문헌 —— 이 연산자 족의 바탕이 된 연구/기법의 출처.

• 알고리즘의 정전(저자·연도)과 용도는 위의 패밀리 사용 가이드에 적혀 있습니다.

실행 가능한 예제(이 연산자를 실제로 호출하는 검증된 샘플)

ct_reconstructionpy -3.11 examples/ct_reconstruction.py

tomography_reconstructpy -3.11 examples/tomography_reconstruct.py

타입이 이어지는 다음 연산자(table 를 입력으로 받는 것)

같은 카테고리(layout)

projection_angles


*Provenance: tomography.py — TOMOGRAPHY 연산자 레지스트리. 이 op 노트는 tools/opdocs.py md 가 자동 생성합니다(직접 편집하지 마세요).*

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