Computational topology is a newly emerged area that applies topological techniques in developing algorithms for problems in data and shape analysis. The group has made fundamental contributions in developing the field from its beginning. Various topological techniques for problems in manifold reconstruction, topology inference, homology cycle extractions, Reeb graph construction, and shape distance computations have been developed by the group. This research area offers an excellent opportunity for synergistic activities spanning mathematics and computer science. The strong presence of the group in the field is recognized world wide.
The Computational Topology Group @CSE is a constituent of the multidisciplinary TGDA group (Topology, Geometry, and Data Analysis) @OSU.