A geometric approach to in-hand manipulation with rolling contact

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This project aims to eradicate barriers to in-hand manipulation and design robot hands as dexterous and adaptable as the human hand. It will use the curvature theory of smooth surfaces and Lie Group theory to establish a coordinate-independent kinematic formulation of a robot hand with rolling contact and rectify the current singularity theory of in-hand manipulation. It will also use discrete differential geometry to establish a discrete contact theory, which will be integrated into the proposed geometric framework to fully exploit modern tactile fingertips’ functionality. The expected outcome is robot hands with the dexterity and adaptability of the human hand.