vol_richardson_lucy — 3D restoration op

データ種: voxel × voxelvoxel

呼び出し: import fullseye as fs; fs.ledger.vol_richardson_lucy(vol, psf, iterations=10, clip_tiny=1e-12) (実装を直接呼ぶなら import volrestore; volrestore.vol_richardson_lucy(vol, psf, iterations=10, clip_tiny=1e-12)、台帳から引くなら ops3d.get("vol_richardson_lucy"))

使い方

既知 PSF による非負ボリュームの Richardson–Lucy デコンボリューション。

> 以下の詳細説明は原文のままです —— 要約と見出しは訳出済み。

*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).

参考(サンプルデータ・文献)

• 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。

実行できる例(この op を実際に呼ぶ検証済みサンプル)

deconv_fft_restorepy -3.11 examples_3d/deconv_fft_restore.py

型が繋がる次の op(voxel を入力に取れる)

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

同カテゴリ(restoration)

vol_gaussian_psf


*Provenance: volrestore.py — 3D 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.