Abstract
This chapter describes the theory of Symbolic Projection, which is the basis of a conceptual framework for image representation, image structuring, and spatial reasoning. Within this framework, the chapter explores the applications of the theory to image information retrieval and spatial reasoning, illustrated by many examples in geographic information systems, medical pictorial archiving and communications, computer aided design, and office automation. Unlike the projections of a mathematical function, the projections of a symbolic picture are strings. A symbolic picture can have at least two symbolic projections, and in general more than two symbolic projections can be defined for a symbolic picture. A pair of two symbolic projections is called a 2D string. The theory forms the basis of a wide range of image information retrieval algorithms. It also supports pictorial-query-by-picture, so that the user of an image information system can simply draw a picture and use the picture as a query.
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