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Digital Geometry by Azriel Rosenfeld, Reinhard Klette

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CHAPTER 17

Picture Properties and Spatial Relations

A function that takes pictures into numbers is called a picture property; a function that takes k-tuples (e.g., pairs) of pictures into numbers is called a relation among (or between) pictures. This chapter defines classes of picture properties, such as predicates, local properties,1 linear properties, and invariant properties. Particular attention is given to the study of moments, which are an important class of linear properties.

A property of a binary picture P can be regarded as a property of the set of 1s image of P (e.g., as a property of an “object ”). Many topologic and metric properties ...

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