Abstract #4450
An Information Theoretic Approach to Optimal Q-space Sampling
Hans Knutsson 1 and Carl-Fredrik Westin 2,3
1
Biomedical Engineering, CMIV, Linkping,
stergtland, Sweden,
2
Harvard
Medical School, MA, United States,
3
Linkping
University, stergtland, Sweden
We present a novel approach to determine a local q-space
metric that is optimal from an information theoretic
perspective with respect to the expected signal
statistics. The obtained metric will then serve as a
guide for the generation of specific q-space sample
distributions. It should be noted that the approach
differs significantly from the classical estimation
theory approach, e.g. one based on Cramer-Rao bounds.
The basis for finding the q-space metric is to compute
the information gain from measuring at a second q-space
location given that we already have information from a
first location.
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