  Let $K$ be a complete discretely valued field of residue characteristic not
$2$ and $O_K$ its ring of integers. We explicitly construct a regular model
over $O_K$ with strict normal crossings of any hyperelliptic curve
$C/K:y^2=f(x)$. For this purpose, we introduce the new notion of ''MacLane
cluster picture'', that aims to be a link between clusters and MacLane
valuations.
