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My main interest is in sequential and parallel algorithm design. Of particular interest are problems that arise in scientific computation and image processing. We have been working on three classes of problems. Our work is both more theoretical yet more practical since we require two important properties of our algorithms: they should be both be fast and have strong guarantees of quality, size, and speed.
Mesh Generation The question of correctly and efficiently partitioning space into tetrahedra with good aspect ratio so that the features appear in the mesh is at least a fifty year old problem. The computer science community has been working on this problem for about twenty years. The most accurate simulations in the science, engineering, and graphic require small size quality meshes. CMU has been a leader on this problem for the last fifteen years.
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arxiv(2021)
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STOC '16: Proceedings of the forty-eighth annual ACM symposium on Theory of Computing (2016): 598-611
arXiv (Cornell University) (2014)
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Scienceno. 1 (2014): 337-354
FOCS '13: Proceedings of the 2013 IEEE 54th Annual Symposium on Foundations of Computer Sciencepp.127-136, (2013)
SPAA (2013): 196-203
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