flow op• Datenarten: image2d × image2d → table
• Aufruf: 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) (die Implementierung direkt: 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); aus dem Register: opsgraph.get("physarum_transport_image"))
> Für diesen Operator gibt es noch keine Übersetzung. Es folgt der Originaltext unverändert.
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`.
• Katalog der Beispieldaten (Download-URLs / Lizenzen) — 2-D nutzt skimage.data (BSD/Public Domain) plus synthetische Bilder, 3-D nennt Download-URLs echter Datenquellen (Stanford, PDS, …).
• Herkunft und Literatur der Operatoren — die Quellen der Forschung/Verfahren, auf denen diese Operatorfamilie beruht.
• Der kanonische Algorithmus (Autor, Jahr) und seine Anwendungen stehen im Familienleitfaden oben.
• poc_physarum_transport — py -3.11 examples/poc_physarum_transport.py
table als Eingabe)graph_edge_consensus · graph_core_persistence · tree_morphometry · tree_sholl · tree_run_length
flow)graph_physarum_path · physarum_route · graph_physarum_transport
*Provenance: physarum_search.py — GRAPH Operator-Registry. Diese Notiz wird von tools/opdocs.py md erzeugt (nicht von Hand bearbeiten).*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.