The master thesis proposes various methods for estimating the curvature on triangle meshes in a 3D space. We describe the approximation of the triangle mesh with tensor product Bézier surfaces and B-spline surfaces, using the least squares method. We can then use standard formulas to compute curvature on the approximating surface. Furthermore the method of spatial averages is presented, which offers computationally effective and elegant formulas for calculating the curvature at a given vertex in regard to its surroundings.
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