10 March 1998 Justification of an image model
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Abstract
The main idea of this paper is to formalize a description of an image set. It means to describe an image as a mathematical object. For this it is necessary to determine the elements (points) of an image set, to introduce a distance functions, and to input some measure on image set. It is shown that image set belongs to a set of 2D functions of bounded variations. It is proposed to estimate the quantity characteristics of an image not by one but by two independent variations. To compare the quality of different measures a simple numerical test is described.
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Olga P. Milyukova, "Justification of an image model", Proc. SPIE 3348, Optical Information Science and Technology (OIST97): Computer and Holographic Optics and Image Processing, (10 March 1998); doi: 10.1117/12.302497; https://doi.org/10.1117/12.302497
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