An overview of the main methods, models, and results of descriptiveimageanalysis is given. descriptiveimageanalysis is a logically organized set of descriptive methods and models designed for imageanalysis and ev...
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An overview of the main methods, models, and results of descriptiveimageanalysis is given. descriptiveimageanalysis is a logically organized set of descriptive methods and models designed for imageanalysis and evaluation. The state of the art and trends in the development of descriptiveimageanalysis are determined by the methods, models, and results of the descriptive approach to image analysis and understanding. As the methods and apparatus of the descriptiveapproach to the analysis and understanding of images were developed and refined, its interpretation was proposed, defined as descriptiveimageanalysis. The main goal of descriptiveimageanalysis is to structure and standardize the various methods, processes, and concepts used in imageanalysis and recognition. descriptiveimageanalysis solves the fundamental problems of formalizing and systematizing methods and forms of information representation in imageanalysis, recognition, and understanding problems, in particular, associated with automating the extraction of information from images to make intelligent decisions (diagnosis, prediction, detection, assessment, and identification patterns of objects, events and processes). descriptiveimageanalysis makes it possible to solve both problems related to constructing formal descriptions of images as recognition objects and problems of synthesizing procedures for recognizing and understandingimages. It is suggested that the processes of analysis and evaluation of information represented in the form of images (problem solution trajectories) can generally be considered a sequence/combination of transformations and calculations of a set of intermediate and final (determining the solution) estimates. These transformations are defined by equivalence classes of images and their representations. The latter are defined descriptively, i.e., using a basic set of prototypes and corresponding generating transformations that are functionally complete with respect t
The article presents an algebraic model for solving the problem of automation of ophthalmological diagnostics written in the language of descriptiveimage algebras. descriptiveimage algebras are an initial mathematic...
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The article presents an algebraic model for solving the problem of automation of ophthalmological diagnostics written in the language of descriptiveimage algebras. descriptiveimage algebras are an initial mathematical language for formalizing and standardizing representations and procedures for processing image models and conversions over them when extracting information from images. To construct an algebraic model for solving the problem of automation of ophthalmological diagnostics, descriptive algebras of images with one ring are mainly used. This class of algebras belongs to the class of universal linear algebras with a sigma-associative ring with identity. A series of conversions and steps of the algebraic model are described using descriptive Boolean algebras over images. descriptiveimage algebras are the main section of the mathematical apparatus of descriptiveimageanalysis, which is a logically organized set of descriptive methods and models designed for imageanalysis and evaluation. The article defines specialized versions of descriptiveimage algebras with one ring and descriptive Boolean algebras over images, over models and representations of images, and over conversions of image models and images themselves, necessary for constructing an algebraic model. The image models (representations, formalized descriptions) used in writing the article are described. An example of a descriptive algorithmic scheme for solving an applied ophthalmological problem using an algebraic model is constructed.
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