vol_orientation_coherence — 3D feature op

資料種類:voxelvoxel

呼叫: import fullseye as fs; fs.ledger.vol_orientation_coherence(vol, sigma=1.0, rho=3.0)(要直接呼叫實作,import volops; volops.vol_orientation_coherence(vol, sigma=1.0, rho=3.0);從台帳取用則 ops3d.get("vol_orientation_coherence"))

用法

局部結構在多大程度上指向同一方向(3-D 結構張量)。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

Builds `J = G_rho * (grad I)(grad I)^T` and returns

(l1 - l3) / (l1 + l2 + l3), l1 >= l2 >= l3

in `[0, 1]: 1` where one direction dominates (a fibre, a lamella edge,

a crack face), `0` where the gradient is isotropic (a uniform block, white

noise) or where two directions are equally strong. *sigma* smooths before

differentiating (so noise is not differentiated into structure); *rho* is the

integration width — make it larger than the spacing of the structure you are

measuring.

HALCON computes this tensor and throws it away: `coherence_enhancing_diff`

uses it to steer a diffusion but exposes neither the orientation nor the

coherence. Returning the measurement is the point of this operator.

Applicability. (1) `rho` too small collapses the tensor to rank 1 and

the answer sticks at 1 everywhere — that is *not* perfect alignment, it is a

failure to measure. (2) Two fibre families crossing at equal strength read

as 0, indistinguishable from a uniform block; pair it with `vol_local_std`

to tell "no direction" from "no structure". (3) Voxels whose tensor trace is

below `1e-6` of the volume maximum return 0.

Returns a `(D, H, W) float64 volume in [0, 1]`.

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)

ct_porosity_and_fibre_morphometrypy -3.11 examples_3d/ct_porosity_and_fibre_morphometry.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(feature)

sobel3d · hessian3d · curvature_maps · edt_jfa · vol_frangi · vol_local_std · vol_local_thickness · vol_euler_number


*Provenance: volops.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.