hx_moments_any_xld — 2D `halcon_ext` op

• Data kinds: contour → feature

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

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

hx_moments_any_xld: 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.*

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

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

Stages (the ops that come before → this op, left to right):

▸ hx_moments_any_xld: stages (docs site)

Usage

The second central moment (the spread) of all contour points, as a normalised feature.

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

contour dict の全点をまとめ、重心からの二乗距離の平均 `mean((row - mean_row)^2 + (col - mean_col)^2)`

(2 次中心モーメント `mu20 + mu02 を点数で割ったもの)を max(H, W)^2` で割り、1 で頭打ちした

`np.float64` で返す。

• `a, b` は未使用。

• 点が 2 個未満なら 0.0。

「点群が重心からどれだけ広がっているか」の等方的な指標で、向きや縦横比は含まない。輪郭の点密度に依存するので、

同じ図形でも点の刻みが不均一だと値が変わる。向き付きの慣性(長軸・短軸)は `hx_fit_ellipse_contour` /

`elliptic_axis_xld、region の 2 次モーメントは moments_region_2nd`。

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.

threshold 0.50 0.50
sk_find_contours 0.50 0.50
hx_moments_any_xld 0.50 0.50

▸ Load this pipeline · Load & run

Runnable examples (verified samples that actually call this op)

• gallery2d_halcon_ext — py -3.11 examples/gallery2d_halcon_ext.py

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

identity · feature_to_img

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).*

hx_moments_any_xld — 2D halcon_ext op