alife_gray_scott — 2D artificial-life op

• Data kinds: image → image

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

Usage

Gray-Scott reaction-diffusion seeded by the image.

Two coupled species on a torus,

u_t = Du*lap(u) - u v^2 + F (1 - u)

v_t = Dv*lap(v) + u v^2 - (F + K) v

with Du=0.16, Dv=0.08. The image seeds v (the autocatalyst) while u starts

from the depleted complement, so bright input pixels are the nuclei from

which spots / stripes / labyrinths grow. `a` sets the feed rate

F = 0.02 + 0.06a *and* the number of integration steps T = 8 + int(20a);

`b` sets the kill rate K = 0.05 + 0.02b. Returns the normalised v field.

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.

Runnable examples (verified samples that actually call this op)

• gallery2d_physics_alife_3d — py -3.11 examples/gallery2d_physics_alife_3d.py

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

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

Same category (artificial-life)

alife_turing · alife_life_step · alife_cyclic_ca · alife_perona_malik · alife_curvature_flow · alife_dla · alife_reaction_bz · alife_wolfram1d

*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.