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Characteristic Shape Sequences for Measures on Images
Researchers in many fields often need to quantify the similarity between images using metrics that measure qualities of interest in a robust quantitative manner. We present here the concept of image dimension reduction through characteristic shape sequences. We formulate the problem as a nonlinear optimization program and demonstrate the solution on a test problem of extracting maximal area ellipses from twodimensional image data. To solve the problem numerically, we augment the class of meshdoi:10.21236/ada460043 fatcat:37ahjbgr5rhbtanz4fibwwofli