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- ItemDiffusion tensor imaging : structural adaptive smoothing(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Tabelow, Karsten; Polzehl, Jörg; Spokoiny, Vladimir; Voss, Henning U.Diffusion Tensor Imaging (DTI) data is characterized by a high noise level. Thus, estimation errors of quantities like anisotropy indices or the main diffusion direction used for fiber tracking are relatively large and may significantly confound the accuracy of DTI in clinical or neuroscience applications. Besides pulse sequence optimization, noise reduction by smoothing the data can be pursued as a complementary approach to increase the accuracy of DTI. Here, we suggest an anisotropic structural adaptive smoothing procedure, which is based on the Propagation-Separation method and preserves the structures seen in DTI and their different sizes and shapes. It is applied to artificial phantom data and a brain scan. We show that this method significantly improves the quality of the estimate of the diffusion tensor and hence enables one either to reduce the number of scans or to enhance the input for subsequent analysis such as fiber tracking.
- ItemAccurate localization of brain activity in presurgical fMRI by structure adaptive smoothing(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Tabelow, Karsten; Polzehl, Jörg; Uluğ, Aziz M.; Dyke, Jonathan P.; Watts, Richard; Heier, Linda A.; Voss, Henning U.An important problem of the analysis of fMRI experiments is to achieve some noise reduction of the data without blurring the shape of the activation areas. As a novel solution to this problem, the Propagation-Separation approach (PS), a structure adaptive smoothing method, has been proposed recently. PS adapts to different shapes of activation areas by generating a spatial structure corresponding to similarities and differences between time series in adjacent locations. In this paper we demonstrate how this method results in more accurate localization of brain activity. First, it is shown in numerical simulations that PS is superior over Gaussian smoothing with respect to the accurate description of the shape of activation clusters and and results in less false detections. Second, in a study of 37 presurgical planning cases we found that PS and Gaussian smoothing often yield different results, and we present examples showing aspects of the superiority of PS as applied to presurgical planning.