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A Jordan Curve Theorem in the Digital Plane
2011We study a certain Alexandroff topology on Z2 and some of its quotient topologies including the Khalimsky one. By proving an analogue of the Jordan curve theorem for this topology we show that it provides a large variety of digital Jordan curves. Some consequences of this result are discussed, too.
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Radial extension of a bi-Lipschitz parametrization of a starlike Jordan curve
Complex Variables and Elliptic Equations, 2014David Kalaj
exaly
Inscribed rectangles in a smooth Jordan curve attain at least one third of all aspect ratios
Annals of Mathematics, 2021exaly
On Continuous Curves and the Jordan Curve Theorem
American Journal of Mathematics, 1930openaire +1 more source