This paper discusses the solution of the problem of segmenting a digital image by means of a hierarchical sequence of piecewise-constant approximations that minimally differ from the image in the rms deviation. Analytical justification is given for the computations at the stage of preliminary automatic processing of the image without using controlling parameters. An algorithm is presented for combined segmentation/quality-improvement/clusterization and is illustrated by examples. (C) 2015 Optical Society of America.
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