Focus Registration Code __full__ — Pointer

Let $P(t)$ be the position of the pointer in 2D screen coordinates at time $t$. Let $\mathcalW = w_1, w_2, ..., w_n$ be the set of interface widgets. Each widget $w_i$ possesses a spatial bounding function $B_i: \mathbbR^2 \to 0, 1$, where $B_i(p) = 1$ if $p$ is within the widget's geometry.

This paper defines "Pointer Focus Registration Code" not merely as event handling, but as a signal processing problem requiring hysteresis, temporal buffering, and probabilistic weighting. pointer focus registration code

This eliminates dribble because the framework deduplicates registration across frames. The focus state becomes part of the diff, not a side effect. Let $P(t)$ be the position of the pointer