hx_mean_shape — 2D halcon_ext op

Data kinds: imageimage

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

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

hx_mean_shape: input → output

*The figure is the actual output on a synthetic 128×128 input. Left: input, right: output. Point clouds are drawn as a top-down scatter (brightness = z), 1-D series as a line plot, volumes as the maximum-intensity projection along z, videos as the middle frame, complex images as magnitude; return values that are not pictures are shown as the values themselves.*

Sweeping knob a (0.1 / 0.5 / 0.9, the other knob at its default):

hx_mean_shape: knob a sweep (docs site)

*Knob b does not change the output (measured: identical at 0.1 / 0.5 / 0.9).*

On other images (synthetic scene / photo / coins. Top row: inputs, bottom row: their outputs. Knobs at default):

hx_mean_shape: other inputs (docs site)

*The 4th column is a colour (H,W,3) input. This op handles colour without crossing channels (it does not convolve the colour channel as a third spatial axis).*

Usage

Mean smoothing with an arbitrary mask (a disc). The radius r varies with a (a different op from the rectangular mean).

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

半径 `r の円板(xx^2+yy^2 <= r^2 を満たす画素を 1、総和で割って正規化)を ndimage.convolve(mode="reflect")`

で畳み込む。出力は入力と同形の float 配列で、値域は入力の範囲を出ない(重みの和が 1)。

• `a → 半径 r = 1 + int(a*4)(1〜5 画素、5 になるのは a=1 のときだけ)。カーネルは (2r+1)` 角の中の円板。

• `b` は未使用。

矩形窓の `mean_image` と違い方向による重みの偏りが少なく、円板半径以下の構造を等方的にぼかす。境界は鏡映で

延長するので端の暗落ちは起きない。入力検証は無く、NaN が含まれるとそのまま伝播する。

Detailed usage guide

gallery2d_halcon_ext 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.

hx_mean_shape 0.50 0.50

▸ Load this pipeline  ·  Load & run

Runnable examples (verified samples that actually call this op)

gallery2d_halcon_extpy -3.11 examples/gallery2d_halcon_ext.py

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

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

Same category (halcon_ext)

hx_gen_circle · hx_gen_ellipse · hx_gen_rectangle2 · hx_gen_checker_region · hx_gen_grid_region · hx_gabor · hx_fit_surface1 · hx_fit_surface2


*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.