Animating Bubble Interactions in a Liquid Foam. Oleksiy Busaryev, Tamal K. Dey, Huamin Wang and Zhong Ren. To apppear in proceedings of ACM SIGGRAPH 2012 (ACM Transactions on Graphics).

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Annotating Simplices with a Homology Basis and its Applications. Oleksiy Busaryev, Sergio Cabello, Chao Chen, Tamal K. Dey and Yusu Wang. Accepted to 13th Scandinavian Symposium and Workshop on Algorithm Theory, Helsinki, Finland, 2012. Acceptance rate: 27%.

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Tracking a Generator by Persistence. Oleksiy Busaryev, Tamal K. Dey and Yusu Wang. In proceedings of the 16th International Computing & Combinatorics Conference, Nha Trang, Vietnam, 2010. Acceptance rate: 40%. Journal version in Discrete Mathematics, Algorithms and Applications.

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Repairing and Meshing Imperfect Shapes with Delaunay Refinement. Oleksiy Busaryev, Tamal K. Dey and Joshua A. Levine. In proceedings of the 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling, San Francisco, CA, 2009. Acceptance rate: 28%.

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Homology Annotation via Matrix Reduction. Oleksiy Busaryev, Tamal K. Dey and Yusu Wang. Technical Report OSU-CISRC-4/07-TR25, 2012. In this work, we describe the algorithm for computing simplex annotations that is used in the ShortLoop software below.

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ShortLoop software can compute a set of non-trivial loops from point cloud data/simplicial complexes that represent a shortest homology basis. The simplicial complex need not be a surface and thus the software can handle very general input of triangulated domains with non-manifold artifacts. If the input is a point cloud data sampled from a smooth manifold, the loops will approximate a true shortest homology basis of the manifold.