A practical but rigorous approach to sum-of-ratios optimization in geometric applications
AbstractIn this paper, we develop an algorithm for minimizing the L q norm of a vector whose components are linear fractional functions, where q is an arbitrary positive integer. The problem is a kind of sum-of-ratios optimization problem, and often occurs in computer vision. In that case, it is characterized by a large number of ratios and a small number of variables. The algorithm we propose here exploits this feature and generates a globally optimal solution in a practical amount of computational time. Copyright Springer Science+Business Media, LLC 2013
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Bibliographic InfoArticle provided by Springer in its journal Computational Optimization and Applications.
Volume (Year): 54 (2013)
Issue (Month): 1 (January)
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Web page: http://www.springer.com/math/journal/10589
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