Jordan Areas and Grids
Norbert Müller, Xishun Zhao · Electronic Notes in Theoretical Computer Science · 2008
Jordan curves can be used to represent special subsets of the Euclidean plane, either the (open) interior of the curve or the (compact) union of the interior and the curve itself. We compare the latter with other representations of compact sets using grids of points and we are able to show that knowing the length of a rectifiable curve is sufficient to translate from the grid representation to the Jordan curve.