tv_reconstruct — TOMOGRAPHY ct_scan op

• 資料種類:projstack × ctgeometry → voxel

• 呼叫: import fullseye as fs; fs.ledger.tv_reconstruct(projections, geometry, tv_weight=0.0003, n_iter=200, initial=None, nonnegative=True, device='auto', on_iter=None)(要直接呼叫實作,import ctscan; ctscan.tv_reconstruct(projections, geometry, tv_weight=0.0003, n_iter=200, initial=None, nonnegative=True, device='auto', on_iter=None);從台帳取用則 opstomography.get("tv_reconstruct"))

• GPU:無(僅 CPU 參考實作)

用法

基於 Chambolle-Pock 原始對偶法的全變分重建。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

Solves min 0.5 ||A x - p||^2 + w ||grad x||_1 with x >= 0, in the form Sidky, Jorgensen & Pan 2012 give for CT. The prior says that the object is piecewise constant, which is what lets it fill data that was never measured: few views and limited angle. On an object that is not piecewise constant it paints the same flat patches, so a low residual here is not evidence of truth.

*tv_weight* is in units of ||A||^2 times the volume scale, so that one value behaves alike across grid sizes.

:param projections: (view, V, U) line integrals. :param geometry: dict from ct_scan_geometry. :param tv_weight: strength of the prior, >= 0. :param n_iter: primal-dual iterations, 1 .. 5000. :param initial: starting volume; None gives zeros. :param nonnegative: enforce x >= 0. :param device: "auto", "cpu" or "cuda". :param on_iter: optional on_iter(iteration, volume). :returns: (Z, Y, X) float volume. :raises ValueError: on a shape that disagrees with the geometry or a negative

weight. 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 · fdk_reconstruct · sirt_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.