ph_heat_flow — 2D physics op

Data kinds: imageimage

Call: fullseye.apply(img, "ph_heat_flow", a=0.5, b=0.5) (the 2-D model is one image plus two scalar knobs a,b∈[0,1])

ph_heat_flow: 入力 → 出力

*The figure is the real output on a synthetic 128×128 input. Left: input, right: output (a non-image return value is shown as the value itself).*

Usage

Linear heat equation / isotropic diffusion (HALCON `isotropic_diffusion`).

Explicit FTCS integration of I_t = lap(I) for a few steps (dt=0.2, stable for

the 2-D 5-point stencil). This is exactly linear isotropic diffusion, i.e. the

Green's-function-equivalent of Gaussian smoothing; `a` sets the diffusion time

(step count), so larger a blurs more. `b` is unused.

Detailed usage guide

gallery2d_physics_alife_3d family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Try it in Studio

The program below has been verified to run (same input as the figure). In Studio's help this block becomes buttons that load and run it on the spot.

ph_heat_flow 0.50 0.50

▸ Load this pipeline  ·  Load & run

Runnable examples (verified samples that actually call this op)

gallery2d_physics_alife_3dpy -3.11 examples/gallery2d_physics_alife_3d.py

Ops the type connects to (they accept image as input)

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

Same category (physics)

ph_perona_malik · ph_coherence_enhancing_diffusion · ph_reaction_diffusion · ph_mean_curvature_motion · ph_total_variation_flow


*Provenance: ops.py — 2D operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

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