vol_richardson_lucy — 3D restoration op

資料種類:voxel × voxelvoxel

呼叫: import fullseye as fs; fs.ledger.vol_richardson_lucy(vol, psf, iterations=10, clip_tiny=1e-12)(要直接呼叫實作,import volrestore; volrestore.vol_richardson_lucy(vol, psf, iterations=10, clip_tiny=1e-12);從台帳取用則 ops3d.get("vol_richardson_lucy"))

用法

用已知 PSF 對非負體做 Richardson–Lucy 反捲積。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

*psf* is a 3-D non-negative kernel (any odd/even size smaller than the

volume; it is normalised to sum 1 internally so overall intensity is

preserved). *iterations* trades sharpness against noise amplification —

5-30 is the practical range (see the module notes on semi-convergence).

Negative voxels are refused (RL is a Poisson model) — except *rounding

dust*: values no lower than `-NEGATIVE_DUST_TOL * max|vol|` (1e-9

relative; an FFT-blurred observation typically carries -1e-16) are clipped

to 0 instead of rejected, so the module's own forward model feeds back in.

Returns the deblurred `(D, H, W)` float64 volume (non-negative).

Measured on the test scene (binary sphere pair blurred by a sigma-2

Gaussian): the RMSE to ground truth falls to 0.81x the blurred

observation's at 10 iterations and 0.68x at 50 — genuine but *gradual*,

because the residual is dominated by the spheres' hard edges, which RL

recovers slowly. What converges fast is the *forward consistency*:

re-blurring the estimate reproduces the observation almost exactly (that

is the quantity the RL update actually optimises).

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。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

deconv_fft_restorepy -3.11 examples_3d/deconv_fft_restore.py

型別可銜接的下一個運算子(可接受 voxel 作為輸入)

voxel_to_mips · voxel_to_mesh · signed_distance_field · to_points · sobel3d · hessian3d · curvature_maps · edt_jfa

同類別(restoration)

vol_gaussian_psf


*Provenance: volrestore.py — 3D 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.