Title of dissertation: OPTIMIZATION TECHNIQUES FOR ENTROPY-BASED MOMENT MODELS OF LINEAR TRANSPORT Graham West Alldredge, Doctor of Philosophy, 2012 Dissertation directed by: Professor André Tits Department of Electrical and Computer Engineering Kinetic equations are used to model many physical phenomena, including gas dynamics, semiconductors, radiative transport, and more. However, high dimen...

High-order Hu moment invariant functions have always been required to solve a variety of problems. Up to this point, there was no generalized approach to extend the first six Hu moment invariants to higher orders. Therefore, this paper presents a generalized algorithm to determine rotationally invariant Hu moment invariants of any desired order, which are invariant to scaling, translation and r...