xwt_firm_denoise — 2D `smoothing` op

• Data kinds: image → image

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

Usage

Wavelet denoising using firm thresholding (firm/semisoft thresholding, `pywt.threshold_firm). Has characteristics between soft and hard thresholding; applied to each detail coefficient from a 2-level sym4` decomposition before reconstruction.

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

`a は下側閾値(0.03〜0.23)、b` は上側閾値(下側+ε 以上、0.15〜0.55)を振る —— 下側未満は 0、上側以上はそのまま、中間は緩やかに減衰させる。xwt_visushrink よりディテールの急な打ち切りを避けたい場合に向く。

Detailed usage guide

• gallery2d_smoothing_rank 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_smoothing_rank — py -3.11 examples/gallery2d_smoothing_rank.py

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

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

Same category (`smoothing`)

gaussian · mean_box · bilateral · unsharp · sk_tv · sk_wavelet · sk_rolling_ball · sk_nlm

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

xwt_firm_denoise — 2D smoothing op