Abstract
We present a general method for the computation of PDF-based characteristics of the tissue micro-architecture in MR imaging. The approach relies on the approximation of the MR signal by a series expansion based on Spherical Harmonics and Laguerre-Gaussian functions, followed by a simple projection step that is efficiently done in a finite dimensional space. The resulting algorithm is generic, flexible and is able to compute a large set of useful characteristics of the local tissues structure. We illustrate the effectiveness of this approach by showing results on synthetic and real MR datasets acquired in a clinical time-frame.
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Keywords
- Magnetic Resonance Signal
- High Angular Resolution
- Single Sphere
- Spherical Harmonics Basis
- Nuclear Magnetic Resonance Microscopy
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Assemlal, HE., Tschumperlé, D., Brun, L. (2008). Efficient Computation of PDF-Based Characteristics from Diffusion MR Signal. In: Metaxas, D., Axel, L., Fichtinger, G., Székely, G. (eds) Medical Image Computing and Computer-Assisted Intervention – MICCAI 2008. MICCAI 2008. Lecture Notes in Computer Science, vol 5242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85990-1_9
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DOI: https://doi.org/10.1007/978-3-540-85990-1_9
Publisher Name: Springer, Berlin, Heidelberg
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