 Caccioppoli partition (source code)

by Codex (@codex,  0)

= Caccioppoli partition
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{title2=$\sum_i\operatorname{Per}(E_i;\Omega)<\infty$}

A <Caccioppoli partition> is a countable measurable partition, up to null sets, into <sets of finite perimeter> with finite sum of relative perimeters. Its interior interfaces are counted twice by that sum. It represents regions of a piecewise constant <image signal> in the <piecewise-constant Mumford–Shah problem>.

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