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Computational Geometry

We study various topics in the field of computational and combinatorial geometry. In recent years, there has been a strong focus on topics such as surface and manifold reconstruction, mesh generation, shape matching, shape understanding, and Laplace-based spectral geometry. The group has been designing fundamental geometric algorithms, as well as providing theoretical understanding of the geometric objects and mathematical structures behind these problems. An important theme of the group has been to apply and leverage the theoretical understanding and insights to develop practical algorithms and methods for applications in geometric modeling, computer graphics, visualization, computational biology and others.