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Approximating isosurfaces by  triangular meshes with guaranteed regularity

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Speaker: Maria Trnkova, UC Davis
Start time: Sun, Jan 5 2020, 1:10PM

We describe a new method of approximating a surface F in R3 by a high quality mesh, a piecewise-flat triangulated surface whose triangles are as close as possible to equilateral. The main advantage is improved mesh quality which is guaranteed for smooth surfaces. The GradNormal algorithm generates a triangular mesh that gives a piecewise-differentiable approximation of F, with angles between 35.2 and 101.5 degrees. As the mesh size approaches 0, the mesh converges to F through surfaces that are isotopic to F. This is joint work with J.Hass.