artifact op• データ種: sinogram → sinogram
• 呼び出し: import tomography; tomography.ring_artifact_remove(sinogram, window=5, mode='median') (または opstomography.get("ring_artifact_remove"))
Remove per-detector-bin offsets by flattening the angle-averaged profile.
The mean of a sinogram column over all angles is a smooth function of the
detector position for any object that stays inside the field of view — it is
essentially the object's mass seen from every side. A gain error adds a
*constant* to one column, so it appears in that mean as a spike on a smooth
curve. Smoothing the mean profile and subtracting the difference removes the
spike and leaves the object.
Measured on the Shepp-Logan phantom scaled to a peak line integral of 1.18
(i.e. CT-realistic, see the note below) with `gain_sigma=0.02`: the
reconstruction's normalised RMS error against the truth goes 0.0250 (clean)
-> 0.0643 (with rings) -> 0.0358 (removed at the default window), so
72 % of the damage is undone.
The window is the whole argument, and it was chosen by measurement rather
than by taste. Removed fraction, against the damage the same call does to an
already-clean sinogram:
window median: undone / damage mean: undone / damage
3 61.0 % / +0.0000 70.4 % / +0.0004
5 72.3 % / +0.0002 82.6 % / +0.0019
7 74.3 % / +0.0017 82.4 % / +0.0042
11 73.6 % / +0.0025 74.0 % / +0.0091
31 73.3 % / +0.0043 37.4 % / +0.0244
61 58.2 % / +0.0109 9.0 % / +0.0356
The default is `window=5, mode="median"` because it is the setting that
removes most of the rings while doing almost nothing to a sinogram that did
not need it — and *that* is the property that matters, because this operator
will be run on scans whose rings nobody has measured. `mean` at the same
window removes 10 points more and costs 10x the collateral damage; wide
windows are worse at both.
Two failure modes are stated rather than hidden. This cannot separate a
real object feature that is thin in the detector direction and present at
every angle — the axis of rotation itself is the extreme case — from a gain
error. And *gain_sigma is in line-integral units*, so how much a given gain
error matters depends entirely on how large the line integrals are: on the
same phantom left in raw pixel units (peak line integral 70.9 rather than
1.18) the identical 2 % gain error changes the reconstruction's error by less
than 0.0001 and this operator has nothing to do. That is not a bug in either
place — it is what "2 % of the signal" means when the signal is 60x larger.
:param sinogram: `(n_angles, n_detectors)`.
:param window: smoothing width in detector bins, an odd int `3 .. n_det`.
:param mode: `"median" (robust, the default) or "mean"`.
:returns: `(n_angles, n_detectors)` float64 sinogram.
:raises ValueError: on an even or out-of-range window, or an unknown mode.
• 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。
• ct_reconstruction — py -3.11 examples/ct_reconstruction.py
sinogram を入力に取れる)backproject_sinogram · filtered_backprojection · sart_reconstruct · beam_hardening_apply · beam_hardening_correct · ring_artifact_apply · metal_trace_interpolate · sinogram_center_of_rotation
artifact)beam_hardening_apply · beam_hardening_correct · ring_artifact_apply · metal_trace_interpolate
*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.