On the convergence of metric and geometric properties of polyhedral surfaces

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Convergence of the Cotangent Formula: An Overview (2008, background): “In particular, we show that mean curvature vectors converge in the sense of distributions, but fail to converge in L2.”
Discrete conformal variations and scalar curvature on piecewise flat two and three dimensional manifolds (2009, background): “been well-studied both in regards to approximation of the Laplacian on domains and approximation of the Laplacian on surfaces for computing minimal surfaces and bending energies. See, e.g., [33] [25] [24] [46] [6]. In addition, Laplacians have appeared in the study of circle packings. In fact, to ou”
1 An End-to-End Framework for Evaluating Surface Reconstruction (2011, methodology): “Slightly deviating from [Hildebrandt et al. 2006], we symmetrically define Ψ: M → Ω for x ∈M as:”