mean_curvature_flow — 2D `smoothing` op

• Data kinds: image → image

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

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

mean_curvature_flow: 入力 → 出力

*The figure is the real output on a synthetic 128×128 input. Left: input, right: output (a non-image return value is shown as the value itself).*

Usage

Smoothing that approximates mean curvature flow by repeatedly applying a small-sigma (0.6) Gaussian blur. Rather than the true mean-curvature PDE (the diffusion equation that a separate implementation on the `ops side actually performs), it substitutes computationally cheap iterative blurring -- a limitation specific to this backend's approximation. A stand-in for HALCON's mean_curvature_flow` (Apply the mean curvature flow to an image.).

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

`a` が反復回数を 1〜7 回の範囲で振る(回数が多いほど強く滑らかになる)。

`b` は未使用。

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.

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.

mean_curvature_flow 0.35 0.50

▸ Load this pipeline · Load & run

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).*

mean_curvature_flow — 2D smoothing op