# Coding and Classification

Jun 17th, 2015
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Coding: assignment of a symbol (or a set of symbols) to represent information.

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Coding and Classification:Coding:assignment of a symbol (or a set of symbols) to represent information.Classification:a protocol that is used to separate a large group of objects into separate sub-groups.Therefore, we first estimate (or survey) all possible different shapes we may be dealing with. Next, we identify some "features" that define something distinguishing about the shape of a part.Examples:This process is largely intuitive (it would be nice to have mathematical representations of such qualifiers).Then, for a given application where we wish to apply GT, we select a small set of "representative features". Each of these are given one (or a few) code digits.For any given feature, we can further classify the variations -- and therefore assign different values to the code digit (say 1, 2, 3, ..., 9) depending on the size of the actual feature.Based upon this idea, several schemes of coding and classification have been developed:(a) Hierarchical Structures (Monocodes):Here, each digit (or position) in the code represents a feature/sub-group. The first digit represents an entire group. The next digit represents sub-groups of the feature, and so on.In this sense, each subsequent digit is qualified by the preceding digits (or, in an object-oriented sense, each subsequent digit inherits the properties of the previous digits).Example:Consider all parts to be classified in terms of a feature: rotational symmetry.1 == Non-rotational (prismatic) parts2 == R

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