Research Projects

Most of my active research projects are about planar metrics. What property does planar metrics have that makes them special? What advantages can we take to construct better and more efficient algorithms? Can we represent planar metrics in succinct forms, while preserving the distances exactly or approximately?

depth contours

Curves and Graphs on Surfaces

compressed graph from hierarchical covering

Efficient Optimization in Euclidean Spaces

emulator for Monge matrix

Distance-Preserving Structures for Planar Metrics

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