forward op• 資料種類:image2d → sinogram
• 呼叫: import fullseye as fs; fs.ledger.radon_transform(image, angles_deg=None, n_detectors=None, oversample=1)(要直接呼叫實作,import tomography; tomography.radon_transform(image, angles_deg=None, n_detectors=None, oversample=1);從台帳取用則 opstomography.get("radon_transform"))
平行束正向投影:輸入一張切片,輸出正弦圖。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
Rows of the result are projection angles and columns are detector bins. The convention is fixed here and never negotiated again; every other operator in this module reads it the same way, and a transposed sinogram is structurally indistinguishable from a valid one (see opstomography for the measured consequences of not giving it its own sort).
The ray at detector bin j and angle theta is the line x cos(theta) + y sin(theta) = j - (n_det-1)/2, with x the column offset from the image centre and y the row offset — so +y runs *down* the array, matching the rest of Fullseye's image indexing rather than a textbook's upward y. The transform is the same either way (the sinogram is mirrored in the angle axis), but only one of the two agrees with ellipse_phantom, and the tests hold them together.
Accuracy against the closed form (a disc of radius 60 px in a 256-px grid, 180 views), measured in tests/test_tomography.py: interior RMS error 0.073 % of the peak line integral, whole-sinogram RMS 0.402 % — the difference between the two being the partial-volume edge, where the phantom's own anti-aliased boundary is what is being sampled.
:param image: 2-D slice, at least 2x2. :param angles_deg: 1-D view angles in degrees; None ->
linspace(0, 180, 180, endpoint=False).
:param n_detectors: bins; None -> odd count covering the diagonal. :param oversample: ray samples per pixel, 1 .. 8. The default is 1
because 4 measures no better (0.073 % against 0.070 %).
:returns: (n_angles, n_detectors) float64 sinogram. :raises ValueError: on non-finite input, an empty angle list, a detector count
under 4, or a sinogram over MAX_SINOGRAM_ELEMENTS.
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者、年份)與用途見上面的族使用指南。
• ct_reconstruction — py -3.11 examples/ct_reconstruction.py
• poc_ct_fidelity — py -3.11 examples/poc_ct_fidelity.py
sinogram 作為輸入)backproject_sinogram · filtered_backprojection · sart_reconstruct · beam_hardening_apply · beam_hardening_correct · ring_artifact_apply · ring_artifact_remove · metal_trace_interpolate
forward)ellipse_phantom · ellipse_sinogram
*Provenance: tomography.py — TOMOGRAPHY 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.