September 2004
Intermediate to advanced
672 pages
19h 26m
English
Content preview from Digital Geometry
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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 
of P (e.g., as a property of an “object ”). Many topologic and metric properties ...
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