feature op• 数据种类:voxel → voxel
• 调用: import fullseye as fs; fs.ledger.vol_frangi(vol, scales=(1, 2, 3), alpha=0.5, beta=0.5, c=None, black_ridges=False)(要直接调用实现,import volops; volops.vol_frangi(vol, scales=(1, 2, 3), alpha=0.5, beta=0.5, c=None, black_ridges=False);从台账取用则 ops3d.get("vol_frangi"))
3-D Frangi 血管度 —— 多尺度管状结构增强。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
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.
• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。
• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。
• vessel_metrology — py -3.11 examples_3d/vessel_metrology.py
• volume_downsampling — py -3.11 examples_3d/volume_downsampling.py
voxel 作为输入)voxel_to_mips · voxel_to_mesh · signed_distance_field · to_points · sobel3d · hessian3d · curvature_maps · edt_jfa
feature)sobel3d · hessian3d · curvature_maps · edt_jfa · vol_local_std · vol_local_thickness · vol_orientation_coherence · vol_euler_number
*Provenance: volops.py — 3D 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.