alife_sandpile — 2D `artificial-life` op

• 数据种类:image → image

• 调用:fullseye.apply(img, "alife_sandpile", a=0.5, b=0.5)(2-D 的模型是一张图 + 两个标量旋钮 a,b∈[0,1])

alife_sandpile: 入力 → 出力

*图为在 128×128 合成输入上实际运行的输出。左为输入，右为输出(非图像的返回值直接显示其值)。*

用法

阿贝尔沙堆模型(Abelian sandpile)/自组织临界性(self-organised criticality,Bak-Tang-Wiesenfeld 1987)。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

The image is quantised to integer grain heights h = round(K * image) with

K = 4 + int(12a), then relaxed by the BTW toppling rule: a cell with 4 or

more grains gives one grain to each orthogonal neighbour and keeps the rest.

The boundary is dissipative (grains leaving the grid are lost), which is what

lets the pile settle into the self-organised critical state where every cell

holds at most 3 grains.

`a` sets the initial grain scale K (how supercritical the pile starts);

`b` sets the number of parallel relaxation sweeps 1 + int(50b). For

b >= 0.9 the pile relaxes *toward* stability with early termination, but the

sweep count is bounded by a total-work budget (`_SANDPILE_BUDGET` grain-

updates) so the op stays fast on any image size: a small or varied pile

reaches the stable critical state (every cell <= 3), while a very large

maximally-supercritical pile is only partially relaxed (full BTW

stabilisation is O(L^2) sweeps). Returns h / max(h) in [0, 1]; a fully

relaxed pile (max 3) takes values in {0, 1/3, 2/3, 1} (or {0, 1/2, 1} when

the stable maximum is 2).

详细使用指南

• gallery2d_physics_alife_3d 族使用指南

参考(示例数据・文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者・年份)与用途见上面的族使用指南。

在 Studio 中试试

下面的程序已确认可以运行(与图相同的输入)。在 Studio 帮助中，此块会变成按钮，可当场加载并运行。

alife_sandpile 0.50 0.50

▸ Load this pipeline · Load & run

可运行的示例(实际调用该算子并已验证的样例)

• gallery2d_physics_alife_3d — py -3.11 examples/gallery2d_physics_alife_3d.py

类型可衔接的下一个算子(可接受 `image` 作为输入)

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

同类别(`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 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

alife_sandpile — 2D artificial-life op

用法