A DTI tractography algorithm derived from the diffusion equation and quantum-mechanical correspondence: Method and Simulation
Hong-Hsi Lee 1 , Jeng-Wei Chen 1 , and Wen-Yih Isaac Tseng 2
Physics, National Taiwan University, Taipei,
for Optoelectronic Medicine, National Taiwan University,
Taipei, Taiwan, Taiwan
Utilizing the correspondence between diffusion equation
and Schrodinger equation, we derived a Lagrangian and
acquired an equation of motion. This equation is the
core of our tractography algorithm which can be applied
in the Diffusion Tensor Imaging (DTI) data. Since it
contains gradient terms related to diffusion tensors,
acute turnings of tracts are possible in several voxels.
To demonstrate the feasibility, we simulated
two-dimensional diffusion tensors from a picture of
magnetic lines, and applied this algorithm to delineate
tracts in the original picture. The simulation results
show that this algorithm is viable.
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