We propose two acquisition protocols that minimize the number of directions needed for estimating MD, FA, MK, and $$$\mu$$$FA. Using symmetric trace-free decompositions of the diffusion, kurtosis, and covariance tensors, we design acquisitions that cancel unnecessary tensor elements, thereby reducing the number of directions needed to generate the maps. Our protocols consist of $$$3b_1+6b_2=9$$$ DWIs for MD+MK in a 1-minute scan, and $$$6b_1^\text{LTE}+6b_2^\text{LTE}+3b_{1.5}^\text{STE}=15$$$ DWIs for MD+FA+MK+$$$\mu$$$FA in a 2-minute scan. We show the feasibility of these approaches on a healthy volunteer.
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