vol_erode — 2D `3d` op

• Data kinds: volume → volume

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

vol_erode: 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):

▸ vol_erode: stages (docs site)

On other images (synthetic scene / photo / coins. Top row: inputs, bottom row: their outputs. Knobs at default):

▸ vol_erode: other inputs (docs site)

Motion (GIF: frames / views / slices in turn. The still figure is the complete one; the GIF is supplementary):

vol_erode: animation

Usage

Grayscale erosion of a 3D volume. No corresponding HALCON op is specified.

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

構造要素の一辺は `size = 1 + 2*(1 + int(a))。a は [0,1) の範囲では int(a) が常に 0 になるため実質サイズ 3 固定で、a が 1.0（decode の np.clip で上限に張り付いたとき）になったときだけ 5 に切り替わる、実質 2 値スイッチにしかなっていない（_vol_dilate も同じ式で同じ性質）。b` も未使用。

Detailed usage guide

• gallery2d_physics_alife_3d 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.

img_to_volume 0.50 0.50
vol_erode 0.50 0.50

▸ Load this pipeline · Load & run

Runnable examples (verified samples that actually call this op)

• gallery2d_physics_alife_3d — py -3.11 examples/gallery2d_physics_alife_3d.py

• poc_warehouse_flow — py -3.11 examples/poc_warehouse_flow.py

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

identity · vol_gaussian · vol_median · vol_dilate · vol_threshold · vol_reg_dilate · vol_reg_erode · vol_dilation_ball

Same category (`3d`)

vol_gaussian · vol_median · vol_dilate · vol_threshold · vol_reg_dilate · vol_reg_erode · vol_dilation_ball · vol_erosion_ball

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

vol_erode — 2D 3d op