Constructing isothermal curvature line coordinates on surfaces which admit them

2013/02/21 by Eugenio Aulisa, Magdalena Toda, Zeynep Kose · 1 citation
Mathematics · #math.DG #msc:53A10 #msc:65D18

paper · pdf

published as Central European Journal of Mathematics - Versita-Springer Verlag, 11, 2013, ISSN: 1895-1074

arxiv created 2013/02/21 · arxiv updated 2013/02/22

Abstract

Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.

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