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Computer Vision
Non-Euclidean Motion Planning with Graphs of Geodesically-Convex Sets
2023
Computing optimal, collision-free trajectories for high-dimensional systems is a challenging problem.Samplingbased planners struggle with the dimensionality, whereas trajectory optimizers may get stuck in local minima due to inherent nonconvexities in the opt…
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Computer Vision

Computerized information extraction from images

Computer vision tasks include methods for acquiring, processing, analyzing, and understanding digital images, and extraction of high- dimensional data from the real world in order to produce numerical or symbolic information, e.g. in the form of decisions. "Understanding" in this context signifies the transformation of visual images (the input to the retina) into descriptions of the world that make sense to thought processes and can elicit appropriate action. This image understanding can be seen as the disentangling of symbolic information from image data using models constructed with the aid of geometry, physics, statistics, and learning theory.

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Non-Euclidean Motion Planning with Graphs of Geodesically-Convex Sets
2023
Computing optimal, collision-free trajectories for high-dimensional systems is a challenging problem.Samplingbased planners struggle with the dimensionality, whereas trajectory optimizers may get stuck in local minima due to inherent nonconvexities in the optimization landscape.The use of mixedinteger programming to encapsulate these nonconvexities and find globally optimal trajectories has recently shown great promise, thanks in part to tight convex relaxations and efficient approximation strategies that greatly …
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Euclidean Geometry
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