Applications of Locally Orderless Images

In a recent work, J. J. Koenderink and A. J. Van Doorn considered a family of three intertwined scale-spaces coined the locally orderless image (LOI) (1999, J. Comput. Vision, 31 (2/3), 159?168). The LOI represents the image, observed at inner scale ?, as a local histogram with bin-width β, at each location, with a Gaussian-shape region of interest of extent ?. LOIs form a natural and elegant extension of scale-space theory, show causal consistency, and enable the smooth transition between pixels, histograms, and isophotes. The aim of this work is to demonstrate the wide applicability and versatility of LOIs. We present applications for a range of image processing tasks, including new nonlinear diffusion schemes, adaptive histogram equalization and variations, several methods for noise and scratch removal, texture rendering, classification, and segmentation.

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