Talk:Signed distance function

Mathematics Stub‑class Low‑priority

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Rather dubious definition

The definition seems rather dubious. If $d(x,\Omega )=\inf _{y\in \Omega }d(x,y)$ , then $d(x,\Omega )$ (as given in the definition of f) with $x\in \Omega$ is always zero. Should probably be replaced with $\partial \Omega$ instead? Additionally, I've never seen the definition defining the inside of $\Omega$ as positive, only the other way around. If no-one objects, I will make some edits in the next few days. 193.157.239.253 (talk) 10:16, 18 January 2016 (UTC)[reply]