Abstract: "This thesis is devoted to the Earth Mover's Distance (EMD), an edit distance between distributions, and its use within content-based image retrieval (CBIR). The major CBIR problem discussed is the pattern problem: Given an image and a query pattern, determine if the image contains a region which is visually similar to the pattern; if so, find at least one such image region. An important problem that arises in applying the EMD to CBIR is the EMD under transformation (EMDG̲) problem: find a transformation of one distribution which minimizes its EMD to another, where the set of allowable transformations G is given. The problem of estimating the size/scale at which a pattern occurs in an image is phrased and efficiently solved as an EMDG̲ problem. For a large class of transformation sets, we also present a monotonically convergent iteration to find at least a locally optimal transformation. Our pattern problem solution is the SEDL (Scale Estimation for Directed Location) image retrieval system. Three important contributions of SEDL are (1) a general framework for finding both color and shape patterns, (2) the previously mentioned scale estimation algorithm using the EMD, and (3) a directed (as opposed to exhaustive) search strategy."
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