seg_membrane_response — EMPROOF `response` op

• Data kinds: image2d → image2d

• Call: import fullseye as fs; fs.ledger.seg_membrane_response(image, sigma: 'float' = 1.5, normalize: 'bool' = True) -> 'np.ndarray' (to call the implementation directly, import emproof; emproof.seg_membrane_response(image, sigma: 'float' = 1.5, normalize: 'bool' = True) -> 'np.ndarray'; from the registry, opsemproof.get("seg_membrane_response"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

EM 断面の暗い線(細胞膜)の応答 [0, ∞)。ガウス平滑した Hessian の固有値 λ1 ≥ λ2 から

`max(λ1 − |λ2|, 0)` (Steger の線検出の閉形式、σ² で尺度正規化)。

暗い線の上では横断方向の 2 階微分が大きく正(λ1)、線に沿う方向は 0(λ2)なので λ1 − |λ2| が立つ。

暗い塊(ミトコンドリア内部・シナプス小胞)は λ1 ≈ λ2 > 0 で打ち消し合って 0 に近い ―― 膜だけを

拾う。`normalize=True で断面の 99.5 percentile を 1 にする(seg_*` の閾値はその尺度で書く)。

scikit-image があるならレジストリの `sk_frangi(fs.apply(img, "sk_frangi", a=0.5, b=0.5)`)も

同じ席に使える(試作はそちらで AUC を測った)。

Parameters

----------

image : (H, W) float

生 EM(明るい = 細胞質、暗い = 膜)。範囲は問わない(勾配の比だけを見る)。

sigma : float

平滑の σ [px]。膜の太さの半分程度(CREMI 4 nm/px なら 1.5〜2.5)。

Detailed usage guide

• emproof family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_em_second_opinion — py -3.11 examples/poc_em_second_opinion.py

Ops the type connects to (they accept `image2d` as input)

seg_membrane_chord_score · seg_boundary_membrane_gap

Same category (`response`)

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*Provenance: emproof.py — EMPROOF operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

seg_membrane_response — EMPROOF response op