Descriptive Image Algebras with One Ring 1
نویسنده
چکیده
The paper describes new results of investigations into developing mathematical tools for the analysis and estimation of information represented in the form of images. It is a continuation of the study of a new class of image algebras, descriptive image algebras (DIA). The use of DIA in image analysis applications requires examination of a great many operations, which may lead (or may not) to the construction of DIA with or without physical meaning. The questions about the kinds of operations which can be used for DIA construction and about the dependence of this process on the physical interpretability of these operations remain open. In general, the problem consists in formulating conditions for the set of operations which ensure the DIA construction. The ways of constructing the P-, G-, T-, and I-models by using one-ring DIA of a special type are described. The possibility of formalization of different image representation (models) will help to use the principles of algebraic recognition for image handling. Received July 25, 2003 1
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تاریخ انتشار 2003