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An analysis and comparison of parameterization-based computation of differential quantities for discrete surfaces
2009
Computer Aided Geometric Design
Normals and curvatures are fundamental for geometric modeling and computer-aided design, but their accurate computations on discrete surfaces are challenging. Two types of methods, namely height-function based and parameterization based polynomial fittings, are well founded mathematically and can be proven to deliver convergent results under reasonable assumptions. However, the numerical behaviors of these methods can differ drastically in practice, and no systematic analysis and comparison
doi:10.1016/j.cagd.2009.02.006
fatcat:lgzou2lppjd5nmc4codlwagqpa