Novel Structured Low-rank algorithm to recover spatially smooth exponential image time series

03/29/2017

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by   Arvind Balachandrasekaran, et al.

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We propose a structured low rank matrix completion algorithm to recover a time series of images consisting of linear combination of exponential parameters at every pixel, from under-sampled Fourier measurements. The spatial smoothness of these parameters is exploited along with the exponential structure of the time series at every pixel, to derive an annihilation relation in the k-t domain. This annihilation relation translates into a structured low rank matrix formed from the k-t samples. We demonstrate the algorithm in the parameter mapping setting and show significant improvement over state of the art methods.