sigmoid — 2D gray op

Data kinds: imageimage

Call: fullseye.apply(img, "sigmoid", a=0.5, b=0.5) (the 2-D model is one image plus two scalar knobs a,b∈[0,1])

HALCON equivalent: scale_image_max (the HALCON reference is a useful guide to its meaning and parameters)

sigmoid: 入力 → 出力

*The figure is the real output on a synthetic 128×128 input. Left: input, right: output (a non-image return value is shown as the value itself).*

Usage

S-curve contrast enhancement using a logistic (sigmoid) function. Mapped to HALCON's `scale_image_max (Maximum gray value spreading in the value range 0 to 255.), but the processing differs from scale_image_max`, which stretches the dynamic range to its maximum (this is closer to a different operation than an approximation).

> The detailed description below is the original text — the summary and the headings are translated.

`a が S字の傾き k = 4 + 12a4〜16)を、b が中心(変曲点)の位置 x0 = 0.2 + 0.6b0.2〜0.8)を振る(1/(1+exp(-k*(v-x0))))。x0` 付近の階調差を強調し、両端の階調差は圧縮する。

Detailed usage guide

gallery2d_gray_arith 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.

Try it in Studio

The program below has been verified to run (same input as the figure). In Studio's help this block becomes buttons that load and run it on the spot.

sigmoid 0.50 0.50

▸ Load this pipeline  ·  Load & run

Runnable examples (verified samples that actually call this op)

gallery2d_gray_arithpy -3.11 examples/gallery2d_gray_arith.py

Ops the type connects to (they accept image as input)

identity · gaussian · mean_box · bilateral · unsharp · median · min_filter · max_filter

Same category (gray)

gamma · invert · scale_clip · equalize · clahe · sk_adapthist · sk_enhance_contrast · sk_autolevel


*Provenance: ops.py — 2D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.