Open AccessJordan Areas and Grids
Author(s) -
Norbert Müller,
Xishun Zhao
Publication year - 2008
Publication title -
electronic notes in theoretical computer science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.242
H-Index - 60
ISSN - 1571-0661
DOI - 10.1016/j.entcs.2008.12.017
Subject(s) - jordan curve theorem , euclidean geometry , mathematics , representation (politics) , grid , plane (geometry) , geometry , pure mathematics , politics , political science , law
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
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