Polzehl, Jörg; Spokoiny, Vladimir G. Functional and dynamic magnetic resonance imaging using vector adaptive weights smoothing. (English) Zbl 1112.62323 J. R. Stat. Soc., Ser. C, Appl. Stat. 50, No. 4, 485-501 (2001). Summary: We consider the problem of statistical inference for functional and dynamic magnetic resonance imaging (MRI). A new approach is proposed which extends the adaptive weights smoothing procedure of Polzehl and Spokoiny that was originally designed for image denoising. We demonstrate how the adaptive weights smoothing method can be applied to time series of images, which typically occur in functional and dynamic MRI. It is shown how signal detection in functional MRI and the analysis of dynamic MRI can benefit from spatially adaptive smoothing. The performance of the procedure is illustrated by using real and simulated data. Cited in 3 Documents MSC: 62G05 Nonparametric estimation 62G08 Nonparametric regression and quantile regression 62H35 Image analysis in multivariate analysis PDFBibTeX XMLCite \textit{J. Polzehl} and \textit{V. G. Spokoiny}, J. R. Stat. Soc., Ser. C, Appl. Stat. 50, No. 4, 485--501 (2001; Zbl 1112.62323) Full Text: DOI