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The Taub Faculty of Computer Science Events and Talks

CGGC Seminar: Poisson Manifold Reconstruction (beyond co-dimension one)
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Prof. Misha Kazhdan (Computer Science, Johns Hopkins University)
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Thursday, 18.01.2024, 11:30
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Taub 012 (Learning Center Auditorium)
In this talk we consider the problem of manifold reconstruction from oriented point clouds for embedded manifolds of co-dimension larger than one. Using the framework of Poisson Surface Reconstruction, and formulating the problem in the language of alternating products, we show that the earlier approach for reconstructing hyper-surfaces extends to general manifolds, at the cost of replacing a quadratic energy with a multi-quadratic energy. We provide an efficient iterative hierarchical solver that empirically converges to a good reconstruction. We show examples reconstructing curves in 3D and surfaces in 4D. And we validate that the approach remains stable in the presence of sampling and noise.