Random Projections of Smooth Manifolds
Foundations of Computational Mathematics
A multiscale framework for compressive sensing of video
PCS'09 Proceedings of the 27th conference on Picture Coding Symposium
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Block-Based Compressed Sensing of Images and Video
Foundations and Trends in Signal Processing
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We consider a multi-view imaging scenario where a number of cameras observe overlapping, translated subimages of a larger scene. To simplify the acquisition and encoding of these images, we propose a non-collaborative compressive sensing protocol at each camera. We discuss a prototype algorithm for joint reconstruction of the images from the ensemble of random measurements, based on the geometric manifold structure that arises from the varying camera positions. Even when the camera positions are unknown, we demonstrate that it is possible to simultaneously resolve the images and register their positions using only the random measurements.