xmh_zernike — 2D `texture/shape-feature` op

• Data kinds: image → feature

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

xmh_zernike: 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):

▸ xmh_zernike: knob a sweep (docs site)

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

Usage

Sum of Zernike moments (`mahotas.features.zernike_moments`). Collapses the rotation-invariant shape/intensity-distribution features of the image mapped onto the unit circle into a single real number.

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

半径は画像の短辺の半分に固定。`a は次数(degree、6〜12 の整数)を振る —— 次数を上げるほど高次のモーメントまで加算され値が変わる。b は未使用。モーメント成分ごとの符号や大きさの分布は総和で相殺・情報が失われるため、形状の指紋として使うには弱い。個々の成分が要る場合は mahotas.features.zernike_moments` を直接呼ぶこと。

Detailed usage guide

• gallery2d_features 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.

xmh_zernike 0.50 0.50

▸ Load this pipeline · Load & run

Runnable examples (verified samples that actually call this op)

• gallery2d_features — py -3.11 examples/gallery2d_features.py

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

identity · feature_to_img

Same category (`texture/shape-feature`)

—

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

xmh_zernike — 2D texture/shape-feature op