physarum_transport_image — GRAPH flow op

• 資料種類:image2d × image2d → table

• 呼叫: 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)(要直接呼叫實作,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);從台帳取用則 opsgraph.get("physarum_transport_image"))

用法

> 該運算子的說明尚無譯文,以下照原文給出。

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`.

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)

• poc_physarum_transport — py -3.11 examples/poc_physarum_transport.py

型別可銜接的下一個運算子(可接受 table 作為輸入)

graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length

同類別(flow)

graph_physarum_path · physarum_route · graph_physarum_transport


*Provenance: physarum_search.py — GRAPH 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.