Abstract #2821
Reconstruction of Convex Polynomial Diffusion MRI Models Using Semi-definite Programming
Tom Dela Haije 1 , Andrea Fuster 1 , and Luc Florack 1
1
Mathematics and Computer Science, Eindhoven
University of Technology, Eindhoven, Noord-Brabant,
Netherlands
In this work we describe and perform the reconstruction
of general polynomial diffusion MRI models, with the
added constraint that the polynomials are convex. This
is done by requiring the Hessian of the model to be
sum-of-squares. The resulting optimization problem is
shown to be solvable in a reasonable amount of time for
the scale of data typical in clinical diffusion MRI
acquisitions.
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