1Fundamentals and definitions
The aim of this chapter is to describe the general structure of a pattern recognition system and properly define the fundamental terms and concepts that were partially used in the Introduction already. A description of the generic process of designing a pattern recognizer will be given and the challenges at each step will be stated more precisely.
1.1Goals of pattern recognition
The purpose of pattern recognition is to assign classes to objects according to some similarity properties. Before delving deeper, we must first define what is meant by class and object. For this, two mathematical concepts are needed: equivalence relations and partitions.
Definition 1.1 (Equivalence relation). Let Ω be a set of elements ...
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