projection_angles — TOMOGRAPHY layout op

データ種: なしsignal(引数だけで決まる op —— 画像やデータの入力を取らない)

呼び出し: import tomography; tomography.projection_angles(n_angles=180, span_deg=180.0, scheme='uniform', start_deg=0.0) (または opstomography.get("projection_angles"))

使い方

スキャンの角度列を 単位の 1-D float64 配列で。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

Three schemes, and the difference between them is what happens when a scan is

cut short:

• `"uniform"start + span * k / n`. The textbook scan. A prefix of it

covers only a wedge, so an interrupted uniform scan is a limited-angle scan.

• `"golden" — increments of 180/phi = 111.246...` degrees, wrapped into

`[start, start+span)`. Every prefix is near-uniform, so an interrupted

golden scan is a *sparse* scan, which is a far easier problem. Largest

angular gap left by a scan that stops early, measured:

scheme after 32 of 180 all 180

uniform 149.000 deg 1.000 deg

golden 10.031 deg 1.464 deg

bit-reversed 8.000 deg 1.000 deg

Uniform's 149-degree hole is the entire limited-angle problem arriving by

accident. Bit-reversed is the only one of the three that is good at both

ends; golden's price for working at *every* prefix length rather than only

at powers of two is a completed set 1.46x less even than the grid.

• `"bit-reversed"` — the uniform grid, visited in bit-reversed order. Same

guarantee as golden for power-of-two prefixes and exactly uniform at the

end, which golden is not.

*span_deg* is the total angular range. 180 degrees is the complete data set

for parallel beam — projections at `theta and theta+180` are mirror

images and carry no new information — so a 360-degree span is redundancy, not

resolution, and anything under 180 is the limited-angle problem.

:param n_angles: number of views, `1 .. 65536`.

:param span_deg: total angular range in degrees, `> 0`.

:param scheme: one of :data:ANGLE_SCHEMES.

:param start_deg: angle of the first view.

:returns: `(n_angles,)` float64 array of degrees.

:raises ValueError: on a non-int count, a non-positive span, a non-finite

start, or an unknown scheme.

参考(サンプルデータ・文献)

• サンプルデータ カタログ(DL URL / ライセンス) — 2-D は skimage.data(BSD/public)+ 合成、3-D は実データ源(Stanford/PDS 等)の DL URL。

• 演算子の来歴・参考文献 — この op 族の元になった研究/手法の出典。

• アルゴリズムの正典(著者・年)と用途は上記ファミリ使い方ガイドに記載。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

ct_reconstructionpy -3.11 examples/ct_reconstruction.py

tomography_reconstructpy -3.11 examples/tomography_reconstruct.py

型が繋がる次の op(signal を入力に取れる)

同カテゴリ(layout)

sinogram_design


*Provenance: tomography.py — TOMOGRAPHY operator registry. この per-op ノートは tools/opdocs.py md が自動生成(手編集しない)。*

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