Colloquium February 10
Date: Friday February 10
Time: 16:00 to 17:00
Place: 455 McBryde (Commons Room)
Speaker: Misha Kilmer of Tufts Univ
Title: Kronecker Product Approximation for 3D Imaging Applications
Abstract
We derive Kronecker product approximations, via tensor (i.e.
multi-way array) decompositions, to the severely
ill-conditioned matrices
that arise in three-dimensional image processing applications. We
show that in a special case, our approximations are optimal. Our
primary goal is to use these approximations to construct
preconditioners for iterative regularization techniques; the
resulting preconditioned algorithms allow us to restore three
dimensional images in a computationally efficient manner. Through
examples in microscopy and medical imaging, we show that the
Kronecker approximation preconditioners provide a powerful tool that
can be used to improve efficiency of iterative image restoration
algorithms. This is joint work of
Misha Kilmer (Tufts), James Nagy (Emory) and Lisa Perrone (Tufts).
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