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Reading Notes on Differential Geometry for Curves and Surfaces

Alexis Angelidis

Abstract:

This document contains reading notes on differential geometry for curves and surfaces, in the purpose of understanding the minimal information required to specify the smoothness of a surface at points only. The reconstruction of the surface from these points is not discussed. A surface is sometimes called smooth when it is mathematically $ C^2$, which sometimes does not make sense: a 'cube' with extremely small rounded edges shouldn't be called smooth.





Alexis Angelidis (PhD) 2004-02-09