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From Normal Surfaces to Normal Curves to Geodesics on Surfaces

Faculty of Electrical Engineering, Technion, Haifa 3200, Israel
Axioms 2017, 6(3), 26; https://doi.org/10.3390/axioms6030026
Received: 23 March 2017 / Revised: 7 August 2017 / Accepted: 25 August 2017 / Published: 20 September 2017
(This article belongs to the Special Issue Discrete Geometry and its Applications)
This paper gives a study of a two dimensional version of the theory of normal surfaces; namely, a study o normal curves and their relations with respect to geodesic curves. This study results with a nice discrete approximation of geodesics embedded in a triangulated orientable Riemannian surface. Experimental results of the two dimensional case are given as well. View Full-Text
Keywords: 3-manifold; least area surface; normal surface; geodesic; normal curve 3-manifold; least area surface; normal surface; geodesic; normal curve
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Appleboim, E. From Normal Surfaces to Normal Curves to Geodesics on Surfaces. Axioms 2017, 6, 26.

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