alife_lenia — 2D artificial-life op

• 資料種類:image → image

• 呼叫:fullseye.apply(img, "alife_lenia", a=0.5, b=0.5)(2-D 的模型是一張圖 + 兩個純量旋鈕 a,b∈[0,1])

用法

Lenia 連續細胞自動機(Bert Chan,Complex Systems 2019)。

> 以下的詳細說明為原文 —— 摘要與標題已翻譯。

Lenia generalises Conway's Life to a *continuous* state space, a continuous

neighbourhood and a continuous time step. The field u starts as the image.

A normalised Gaussian ring kernel K of radius R (peaking at relative radius

0.5) gives the potential U = K (*) u as a circular convolution; the growth

mapping G(U) = 2 exp(-(U-mu)^2 / (2 sigma^2)) - 1 is in [-1, 1] and is

integrated explicitly as u <- clip(u + dt * G(U), 0, 1).

`a` sets the growth centre mu = 0.08 + 0.25a, its width

sigma = 0.03 + 0.05a and the time step dt = 0.10 + 0.15a; `b` sets the

number of steps 1 + int(19b). The output is deliberately not binarised

-- keeping intermediate values is exactly what separates Lenia from a

discrete Life rule.

詳細使用指南

• gallery2d_physics_alife_3d 族使用指南

參考(範例資料・文獻)

• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。

• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。

• 演算法的正典(作者・年份)與用途見上面的族使用指南。

可執行的範例(實際呼叫該運算子並已驗證的樣例)

• gallery2d_physics_alife_3d — py -3.11 examples/gallery2d_physics_alife_3d.py

型別可銜接的下一個運算子(可接受 image 作為輸入)

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

同類別(artificial-life)

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

*Provenance: ops.py — 2D 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.