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Approximation of the Curvatures of Surfaces

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Generalized Curvatures

Part of the book series: Geometry and Computing ((GC,volume 2))

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This chapter applies our general approximation Theorem 71 for surfaces in E3. In Sect. 26.1, we deal with a surface S approximated by another one, closely near it. In Sect. 26.2, we assume that the approximating surface is a triangulation. Finally, in Sect. 26.2.3, we assume that the triangulation is inscribed in S. We get sharper and sharper approximation and convergence results [34], [35].

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© 2008 Springer-Verlag Berlin Heidelberg

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(2008). Approximation of the Curvatures of Surfaces. In: Generalized Curvatures. Geometry and Computing, vol 2. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73792-6_26

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