hx_gen_derivative_filter — 2D halcon_ext op

Data kinds: imageimage

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

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

Usage

A derivative filter in the frequency domain. `a is the order of the derivative, b` its direction.

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

HALCON の `gen_derivative_filter` は Derivative(x / y / xx / yy / xy)と

次数を取るが、ここは長らく `|f|` を正規化して返すだけで、**入力の中身も

つまみも一切見ていなかった** —— 2026-09-02 実測で、同じ形なら

`a/b` を変えても、別の絵を渡しても、返りがバイト一致だった

(兄弟の `hx_gen_lowpass / hx_gen_highpass / hx_gen_bandfilter` は

つまみで変わるので、この 1 件だけ浮いていた)。

• `a : 階数 1〜2(|f||f|^2`)。2 階はラプラシアンに対応する。

• `b : 向き。0 で x 方向 |f_x|、1 で y 方向 |f_y|、間は等方 |f|`

へ滑らかに混ぜる(0.5 でちょうど等方)。

返りは周波数領域のフィルタそのもの(HALCON の gen_* と同じ約束)なので、

入力は形を決めるためだけに使う。ただし形だけでなくつまみでちゃんと変わる

ようになったので、進化が階数と向きを選べる。

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.

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.