AUTHOR(S): Adnan A. Y. Mustafa

TITLE 
KEYWORDS Image search, similarity space, nonlinear algebraic equations, image correlation 
ABSTRACT The problem of selecting a best representative image from a group of similar images is an important problem as it can expedite the task of image search and image matching. We solve this problem by first measuring the similarity between every pair of image in the set by a suitable similarity measure, and then transforming the problem to similarity space and finding the corresponding locations of the images in the similarity space. Finally, the image located closest to the center of the preoccupied similarity space is selected as the best representative image. The difficulty in such a problem arises in attempting to find the locations of N images in the similarity space, since this leads to a set of N(N–1) nonlinear simultaneous algebraic equations with N2 unknowns. We solve such a problem by forcing the solution to be in ?N–1. We present a closedform solution for the cases when N = 3, 4 and 5. We give examples of finding the best representative images for two_x000D_ 
Cite this paper Adnan A. Y. Mustafa. (2016) Selecting a Representative Image from a Collection of Images by Solving a System of NonLinear Algebraic Equations. International Journal of Signal Processing, 1, 177185 