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Jack Snoeyink works on computational geometry, which is a branch of the theory of computer science that designs and analyzes algorithms and data structures for problems best stated in geometry form. His main application areas are in terrain modeling in geographic information systems, molecular structure validation and improvement in biochemistry, as well as computational topology, computer graphics and information visualization. He participated as a PI in GEO*, the first program Darpa organized with National Geospatial-Intelligence Agency, formerly NIMA, DMA.