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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