fdk_reconstruct — TOMOGRAPHY ct_scan op

• 資料種類:projstack × ctgeometry → voxel

• 呼叫: import fullseye as fs; fs.ledger.fdk_reconstruct(projections, geometry, filter_name='ramp', cutoff=1.0, device='auto', allow_incomplete=False)(要直接呼叫實作,import ctscan; ctscan.fdk_reconstruct(projections, geometry, filter_name='ramp', cutoff=1.0, device='auto', allow_incomplete=False);從台帳取用則 opstomography.get("fdk_reconstruct"))

• GPU:無(僅 CPU 參考實作)

用法

適用於所有具備重建公式之掃描的濾波反投影:FDK 及其同類方法。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

The Feldkamp-Davis-Kress steps, on one code path: weight each sample by the cosine of its ray and by the scan's redundancy, ramp-filter along the detector rows, then back-project with the (DSO / U)^2 weight. A fan is one row, a short scan takes Parker's weight, an offset detector Wang's, a helix a row window normalised per voxel, laminography a sin(tilt) scale, and a parallel beam has no divergence weight. The equiangular detector takes the (gamma / sin gamma)^2 kernel.

A scan with no formula, or an arc too short to determine the object, is refused and named: use sirt_reconstruct or tv_reconstruct.

:param projections: (view, V, U) line integrals. :param geometry: dict from ct_scan_geometry. :param filter_name: one of tomography.FILTERS except "none". :param cutoff: fraction of Nyquist to keep, (0, 1]. :param device: "auto", "cpu" or "cuda". :param allow_incomplete: reconstruct an arc under the minimum anyway. The result

is missing a wedge of the object and the density reads low.

:returns: (Z, Y, X) float attenuation volume. :raises ValueError: on a shape that disagrees with the geometry, a tomosynthesis

scan, or an incomplete arc. Empty input (projections with 0 elements) raises

ValueError.

參考(範例資料、文獻)

• 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。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• ct_scan_modes — py -3.11 examples/ct_scan_modes.py

型別可銜接的下一個運算子(可接受 voxel 作為輸入)

radon_volume · ct_forward_project

同類別(ct_scan)

ct_scan_geometry · shepp_logan_3d · ellipsoid_phantom · ellipsoid_projections · ct_forward_project · ct_adjoint_project · sirt_reconstruct · os_sart_reconstruct


*Provenance: ctscan.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.