ultrametric_contour_map — SEGMENTATION `graph` op

• Data kinds: image2d → table

• Call: import fullseye as fs; fs.ledger.ultrametric_contour_map(image, *, mask=None, connectivity: 'int' = 4, distance_matrix: 'bool' = False) -> 'Dict[str, object]' (to call the implementation directly, import seggraph; seggraph.ultrametric_contour_map(image, *, mask=None, connectivity: 'int' = 4, distance_matrix: 'bool' = False) -> 'Dict[str, object]'; from the registry, opssegmentation.get("ultrametric_contour_map"))

Usage

Ultrametric contour map (UCM) of the dynamics hierarchy: the value between neighbouring pixels p, q = the smallest threshold at which p and q fall into the same region (ultrametric_contour_map).

Edges inside a basin are 0; edges on the border between basins get the height at which the 2 basins meet in a 2nd Kruskal (merging the basin tree in ascending order of saliency).

Returns: ucm_h (H, W − 1: a pixel and its right neighbour), ucm_v (H − 1, W: a pixel and the one below), ucm (per pixel, the larger of right and below = the boundary represented by its upper-left pixel, same as segeval), basins, levels, distance (with distance_matrix=True and at most 2500 basins, the matrix of ultrametric distances for all pairs of basins). Components after cutting edges with ucm > θ at threshold θ = hierarchical_watershed(θ).

Detailed usage guide

• halcon_segmentation family guide

Background guides (the physics and conventions behind this op)

• graph_hierarchy_and_thresholds — Segmentation from graph, hierarchy and threshold theorems — what is exact, and where the partition breaks down

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.

Runnable examples (verified samples that actually call this op)

• poc_graph_hierarchy_segmentation — py -3.11 examples/poc_graph_hierarchy_segmentation.py

Ops the type connects to (they accept `table` as input)

class_ndim_norm

Same category (`graph`)

graph_cut_binary · alpha_expansion · statistical_region_merging · max_tree · area_opening_attr · quasi_flat_zones · alpha_tree · hierarchical_watershed

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

ultrametric_contour_map — SEGMENTATION graph op