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Maximum Likelihood Estimators in Magnetic Resonance Imaging

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Information Processing in Medical Imaging (IPMI 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4584))

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Abstract

Images of the MRI signal intensity are normally constructed by taking the magnitude of the complex-valued data. This results in a biased estimate of the true signal intensity. We consider this as a problem of parameter estimation with a nuisance parameter. Using several standard techniques for this type of problem, we derive a variety of estimators for the MRI signal, some previously published and some novel. Using Monte Carlo experiments we compare the estimators we derive with others previously published. Our results suggest that one of the novel estimators we derive may strike a desirable trade-off between bias and mean squared error.

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Nico Karssemeijer Boudewijn Lelieveldt

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© 2007 Springer Berlin Heidelberg

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Tisdall, M.D., Atkins, M.S., Lockhart, R.A. (2007). Maximum Likelihood Estimators in Magnetic Resonance Imaging. In: Karssemeijer, N., Lelieveldt, B. (eds) Information Processing in Medical Imaging. IPMI 2007. Lecture Notes in Computer Science, vol 4584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73273-0_36

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  • DOI: https://doi.org/10.1007/978-3-540-73273-0_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-73272-3

  • Online ISBN: 978-3-540-73273-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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