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Biomedical Imaging
Heart Motion Analysis
Given multiple cardiac MRI images, we develop algorithms for building and updating real-time 3D model of the heart to be used by the surgeon in MRI-guided heart surgery.Computer Vision
Segmentation of Dynamic Scenes
We develop algorithms for fitting multiple 2D and 3D motion models to a video sequence of a scene containing multiple moving objects, without knowing which pixels move according to which model.Machine Learning
Generalized Principal Component Analysis (GPCA)
Given a set of points lying in multiple linear subspaces, we develop algebraic-geometric algorithms for learning the number of susbpaces, a basis for each subspace, and the segmentation of the data.Robotics
Landing an aerial vehicle
We develop algorithms for vision-based landing of an Unmanned Aerial Vehicle (UAV) on a moving landing deck, using multiple view geometry.Hybrid Systems
Hybrid System Identification
Given input output data generated by a dynamical system with both continuous and discrete dynamics, we look at the problem of identifying the model parameters and the mode sequence.