Article ID Journal Published Year Pages File Type
421998 Electronic Notes in Theoretical Computer Science 2008 16 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics