Handbook of Computer Vision Algorithms in Image Algebra
Handbook of Computer Vision Algorithms in Image Algebra
Image formalization space: Formulation of tasks, structural properties, and elements
Pattern Recognition and Image Analysis
Descriptive approach to image analysis: Image formalization space
Pattern Recognition and Image Analysis
Pattern Recognition and Image Analysis
Descriptive approach to image analysis: Image formalization space
Pattern Recognition and Image Analysis
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The paper presents and discusses the main results obtained using the descriptive approach to analyzing and understanding images when solving fundamental problems of the formalization and systematization of the methods and forms of representing information in the problems of the analysis, recognition, and understanding of images, in particular that arise in connection with the automation of information extraction from images in order to make intelligent decisions (diagnosis, prediction, detection, evaluation, and identification of patterns). In this direction, so far, the following results have been obtained: (1) the conceptualization of a system of concepts that describe the initial information (images) in recognition problems has been carried out; (2) descriptive models of images focused on the recognition problem have been defined; (3) the image-formalization space has been introduced, the elements of which include different forms (states, phases) of representing the image transformed from the original form into the recognizable one, i.e., into the image model; (4) the basic axioms of the descriptive approach were introduced. Axiomatics and its formal structures provide the methods and tools of representation and the description of images for their subsequent analysis and evaluation.