vol_frangi — 3D feature op

• 資料種類:voxel → voxel

• 呼叫: import fullseye as fs; fs.ledger.vol_frangi(vol, scales=(1, 2, 3), alpha=0.5, beta=0.5, c=None, black_ridges=False)(要直接呼叫實作,import volops; volops.vol_frangi(vol, scales=(1, 2, 3), alpha=0.5, beta=0.5, c=None, black_ridges=False);從台帳取用則 ops3d.get("vol_frangi"))

用法

3-D Frangi 血管度 —— 多尺度管狀結構增強。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

For every `sigma` in *scales* the gamma-normalised Hessian is formed, its

three eigenvalues `|l1| <= |l2| <= |l3|` are taken, and the Frangi response

V = (1 - exp(-Ra2 / 2 alpha2)) * exp(-Rb2 / 2 beta2)

• (1 - exp(-S2 / 2 c2))

is evaluated, where `Ra = |l2|/|l3| (plate vs. line), Rb = |l1|/sqrt|l2 l3|`

(blob deviation) and `S = sqrt(l1**2 + l2**2 + l3**2)` (structure strength).

The response is set to 0 where the contrast polarity is wrong (bright tube:

`l2 > 0 or l3 > 0; black_ridges=True` flips this). The maximum over

scales is taken and the volume is normalised to `[0, 1]`.

Parameters

----------

scales : sequence of float — Gaussian sigmas, in voxels, to bracket the

vessel *radii* of interest (see the module "scale-dependent" limitation).

alpha, beta : sensitivities of the plate- and blob-suppression terms (Frangi's

defaults 0.5).

c : half the maximum Hessian norm `S at each scale when None` (Frangi's

adaptive suggestion); otherwise a fixed structure-strength scale.

black_ridges : `False` (default) enhances *bright* tubes on a dark

background; `True` enhances *dark* tubes on a bright background.

Returns a `(D, H, W) float64 volume in [0, 1]`. Reference: Frangi et al.,

MICCAI 1998.

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)

• vessel_metrology — py -3.11 examples_3d/vessel_metrology.py

• volume_downsampling — py -3.11 examples_3d/volume_downsampling.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_local_std · vol_local_thickness · vol_orientation_coherence · 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.