physarum_transport_image — GRAPH flow op

• 数据种类:image2d × image2d → table

• 调用: import fullseye as fs; fs.ledger.physarum_transport_image(a, b, connectivity=4, normalize=True, dt=0.1, max_iters=5000, tol=1e-06, gap_tol=1e-06, snapshots=0)(要直接调用实现,import physarum_search; physarum_search.physarum_transport_image(a, b, connectivity=4, normalize=True, dt=0.1, max_iters=5000, tol=1e-06, gap_tol=1e-06, snapshots=0);从台账取用则 opsgraph.get("physarum_transport_image"))

用法

> 该算子的说明尚无译文,以下照原文给出。

Earth mover's distance between two mass images by the slime mould's tube dynamics.

Every pixel is a node; neighbouring pixels (`connectivity` 4 or 8) are joined by a tube of

length 1 (`sqrt(2)` on diagonals), so the ground metric is the grid path length (Manhattan

for 4, octile for 8). Mass `a enters and mass b leaves: the supply is a - b` after

both are scaled to unit mass (`normalize=True; with False` they must already carry the

same mass). Dynamics, convergence and the two-sided bound as in

:func:graph_physarum_transport; larger images run on the sparse Laplacian with conjugate

gradients.

Returns `cost` (the 1-Wasserstein distance estimate in pixel units, an upper bound),

`dual_bound (Kantorovich–Rubinstein lower bound), gap, conductance` (an image: each

pixel's thickest incident tube), `flow_field ((H, W, 2)`: the mean of the flow vectors

of the tubes at each pixel, in `(row, col)` units of mass per unit length, for drawing

arrows), `potential ((H, W) pressures), iters, converged, gap_converged`,

`history, cost_history, dual_history, and with snapshots = m > 0 also snapshots (m`

conductance images at evenly spaced iterations, the last one final), `snapshot_iters` and

`snapshot_cost (sum_e L_e |Q_e|` at those iterations) for watching the tubes form.

Raises `ValueError`: images not 2-D, finite, non-negative, of the same shape with at

least 2 rows and columns, or without mass; unequal masses when `normalize=False`;

`connectivity not 4 or 8; snapshots < 0; and as :func:graph_physarum_transport`.

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。

可运行的示例(实际调用该算子并已验证的样例)

• poc_physarum_transport — py -3.11 examples/poc_physarum_transport.py

类型可衔接的下一个算子(可接受 table 作为输入)

graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length

同类别(flow)

graph_physarum_path · physarum_route · graph_physarum_transport


*Provenance: physarum_search.py — GRAPH 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

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