Jump set of a bounded-variation function
= Jump set of a bounded-variation function
{title2=$J_u$}
The jump set consists of points where a <BV space> function has distinct one-sided approximate values across an approximate normal. In the plane its <derivative> contribution is $[u]\nu_u\mathcal H^1\!\lfloor J_u$. The <Mumford–Shah functional> penalizes its length rather than the jump amplitude.