The Assignment Trap

A small target moves. The assignment changes much more.

A tiny target cluster moves and its optimal assignment region changes shape. Magnifying the rare cell makes it easier to see why a coarse centre-sampled grid can miss the change.

The before and after cells in the assignment experiment — 01 The central target moves a small distance while its assignment region changes shape. The displayed horizontal magnification makes the rare cell visible; it is not an ordinary map scale.

What to look for

The exact calculation still sees a positive movement when the displayed grid returns zero. Scale, cell shape and grid resolution let the experiment probe where that numerical blind spot appears.

Under the hood

Rational cell geometry and primal-dual certificates.

A reflected-cap variant and controls for scale, shape and grid resolution.

The exact calculation still sees the rare cells when a grid of centre samples misses them entirely.