Y. Cointepas, J.-F. Mangin, and C. Poupon
A Spin Glass Based Framework to Reconstruct Brain Fiber Bundles from Images of the Water Diffusion Process
We propose a framework for the reconstruction of brain fiber bundle geometry
from images of the water diffusion process obtained by nuclear magnetic
resonance. The optimal geometry corresponds to the lowest energy configuration
of a spin glass, where each spin represents a piece of bundle. The glass energy
embeds two kinds of potentials. First, images of the water diffusion process are
used to build a non stationary external magnetic field that tends to orient the
spins in the directions of high water mobility. Second, the spin interact in
order to create low curvature bundles. Simulated annealing is used to get low
energy configurations.
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