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Abstract #2065

Minimum number of diffusion encoding directions required to yield a rotationally invariant powder average signal in single and double diffusion encoding

Filip Szczepankiewicz1, Carl-Fredrik Westin2, Freddy Ståhlberg1, Jimmy Lätt3, and Markus Nilsson4

1Dept. of Medical Radiation Physics, Lund University, Lund, Sweden, 2Dept. of Radiology, Brigham and Women’s Hospital, Harvard Medical School, Boston, MA, United States, 3Center for Medical Imaging and Physiology, Skåne University Hospital, Lund, Sweden, 4Lund University Bioimaging Center, Lund University, Lund, Sweden

Several analysis techniques of diffusion-weighted data make use of the powder average to yield signal that is invariant to rotation. However, rotational invariance is achieved only at a sufficient directional resolution, which depends on the tissue anisotropy and diffusion encoding strength. In this work we present the minimum number of diffusion directions necessary to yield a rotationally invariant powder average, at arbitrary anisotropy and encoding strength, for single and double diffusion encoding.

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