Signed distance function
Distance from a point to the boundary of a set / From Wikipedia, the free encyclopedia
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In mathematics and its applications, the signed distance function (or oriented distance function) is the orthogonal distance of a given point x to the boundary of a set Ω in a metric space, with the sign determined by whether or not x is in the interior of Ω. The function has positive values at points x inside Ω, it decreases in value as x approaches the boundary of Ω where the signed distance function is zero, and it takes negative values outside of Ω.[1] However, the alternative convention is also sometimes taken instead (i.e., negative inside Ω and positive outside).[2]