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Compressed sensing of perfusion MRI

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Perfusion MRI is a diagnostic method in medicine used mainly for diagnosing carcinoma and cardiovascular diseases. In the method a contrast agent is injected in the patient and then its concentration is observed via MRI during time. The signal captured in time from the affected area can be approximated by the lognormal distribution curve. The standard way of obtaining the measurements is very slow and does not comply with today’s challenging requirements. We propose using compressed sensing to acquire much less coefficients, having minimal effect on the signal reconstruction. This is based on the assumption that the data is a sum of low-rank matrix and sparse matrix in row spectrum.

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