Abstract
The different approaches to estimate \(\sigma ^2\) out of Rician magnitude MR images are reviewed and classified, assuming the noise to be stationary, i.e., \(\sigma \) does not depend on the position. Most of the approaches to noise estimation in MRI in the literature are precisely focused on this kind of noise. The different methods are systematized and classified attending their nature. As a case study, a special kind of estimators, those based on the calculation of local moments, is deeply studied. This case serves as an illustration of the different considerations that must be taken into account when implementing an estimation procedure. In the last part of the chapter, the advantages and drawbacks of the different methods are analyzed through synthetic and real data controlled experiments. The estimators for Rician noise of here reviewed are the basis for many of the estimators proposed in the following chapters, which can be seen as extensions of these.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Aja-Fernández, S., Vegas-Sánchez-Ferrero, G. (2016). Noise Estimation in Single-Coil MR Data. In: Statistical Analysis of Noise in MRI. Springer, Cham. https://doi.org/10.1007/978-3-319-39934-8_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-39934-8_7
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-39933-1
Online ISBN: 978-3-319-39934-8
eBook Packages: Computer ScienceComputer Science (R0)