Abstract of Talk by B.A. Mair

Two Mathematicians, an Engineer, and a Pet

B.A. Mair
Department of Mathematics
University of Florida
Gainesville, FL 32611

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In this talk we discuss new algorithms for the reconstruction of position emission tomography images, based on the Shepp-Vardi statistical model. We also include interesting applications of abstract measure theory to understanding the numerical divergence of the classical EM iteration procedures, and to obtain partial answers to an open question of convergence of a generalized EM algorighsm. This talk also deals with the vital relationships between mathematics and engineering which resulted in this work, and continues to fuel current work.

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