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Position-orientation adaptive smoothing of diffusion weighted magnetic resonance data (POAS)

Please always quote using this URN:urn:nbn:de:0296-matheon-9965
  • We introduce an algorithm for diffusion weighted magnetic resonance imaging data enhancement based on structural adaptive smoothing in both space and diffusion direction. The method, called POAS, does not refer to a specific model for the data, like the diffusion tensor or higher order models. It works by embedding the measurement space into a space with defined metric and group operations, in this case the Lie group of three-dimensional Euclidean motion SE(3). Subsequently, pairwise comparisons of the values of the diffusion weighted signal are used for adaptation. The position-orientation adaptive smoothing preserves the edges of the observed fine and anisotropic structures. The POAS-algorithm is designed to reduce noise directly in the diffusion weighted images and consequently also to reduce bias and variability of quantities derived from the data for specific models. We evaluate the algorithm on simulated and experimental data and demonstrate that it can be used to reduce the number of applied diffusion gradients and hence acquisition time while achieving similar quality of data, or to improve the quality of data acquired in a clinically feasible scan time setting.

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Metadaten
Author:Saskia Becker, Karsten Tabelow, Henning U. Voss, Alfred Anwander, Robin M. Heidemann, Jörg Polzehl
URN:urn:nbn:de:0296-matheon-9965
Referee:Konrad Polthier
Document Type:Preprint, Research Center Matheon
Language:English
Date of first Publication:2012/01/24
Release Date:2012/01/24
Tag:Diffusion weighted magnetic resonance imaging; Lie groups; POAS; Special Euclidean motion group; Structural adaptive smoothing
Institute:Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
MSC-Classification:22-XX TOPOLOGICAL GROUPS, LIE GROUPS (For transformation groups, see 54H15, 57Sxx, 58-XX. For abstract harmonic analysis, see 43-XX) / 22Exx Lie groups (For the topology of Lie groups and homogeneous spaces, see 57Sxx, 57Txx; for analysis thereon, see 43A80, 43A85, 43A90) / 22E99 None of the above, but in this section
62-XX STATISTICS / 62Gxx Nonparametric inference / 62G05 Estimation
62-XX STATISTICS / 62Pxx Applications [See also 90-XX, 91-XX, 92-XX] / 62P10 Applications to biology and medical sciences
Preprint Number:868
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