Operations of descriptive image algebras with one ring
Igor B. Gurevich, Vera V. Yashina · Pattern Recognition and Image Analysis · 2006
The work is devoted to the description of a new class of image algebras—descriptive image algebras (DIA). These algebras are intended for the structural description of possible algorithms for image analysis and understanding. Definitions of DIA and basic DIA are introduced. The choice of the algebra for refinement of the concept of DIA with one ring is discussed. Examples of operations, both resulting and not resulting in construction of DIA with one ring, are presented. Possible interpretations of operations of DIA are considered. By results of investigation of the standard Ritter’s image algebra used in construction of DIA with one ring are formulated. An illustrative example of an algorithmic scheme is described with the help of DIA.