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Grayscale Upper Component Tree API

At distinct ascending gray levels enumerate four-neighbor upper components, collapsing repeated identical pixel sets.

At distinct ascending gray levels enumerate four-neighbor upper components, collapsing repeated identical pixel sets. Each node retains its lowest level, area, sorted flat pixel indices and smallest canonical index; parent is the closest strict lower-level superset. Previous-level per-pixel ownership selects a parent directly, without prior-node subset searches. Row-major collection supplies sorted pixels without sorting. Before enumeration admit at most 2048+4*n*L+52*(n*L-L*(L-1)/2) charged operations, where n is pixel count and L is distinct gray-level count; the maximum 16 by 16 profile is 1974784, below two million. Output numeric traversal is included; VM instructions and elapsed time are not work units. This produces a hierarchy artifact, not a filtered image. Calculate the declared mathematical model from supplied small numeric arrays. Grids have at most sixteen rows and columns; total elementary work is at most two million operations per job. Coordinates are zero-based row and column. No actual image file, clinical interpretation, remote sensing inference, physical control or certification. Floating results use twelve significant digits; strict comparisons precede display rounding. Use authorized, non-sensitive data. The report describes supplied records and does not change external systems.

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