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14                               DETECTION AND CLASSIFICATION

            Table 2.1 Some application fields of pattern classification

            Application field  Possible measurements  Possible classes

            Object classification
            Sorting electronic  Shape, colour         ‘resistor’, ‘capacitor’,
              parts                                   ‘transistor’, ‘IC’
            Sorting mechanical  Shape                 ‘ring’, ‘nut’, ‘bolt’
              parts
            Reading characters  Shape                 ‘A’, ‘B’, ‘C’,
            Mode estimation in a physical process
            Classifying       Tracked point features  ‘straight on’, ‘turning’
              manoeuvres of a  in an image sequence
              vehicle
            Fault diagnosis in a  Cylinder pressures,  ‘normal operation’, ‘defect
              combustion engine temperature, vibrations,  fuel injector’, ‘defect air
                              acoustic emissions, crank  inlet valve’, ‘leaking
                              angle resolver,         exhaust valve’,
            Event detection
            Burglar alarm     Infrared                ‘alarm’, ‘no alarm’
            Food inspection   Shape, colour, temperature,  ‘OK’, ‘NOT OK’
                              mass, volume






            the object is qualified according to the values of some attributes of the
            object, e.g. its size, shape and colour.
              The sensory system measures some physical properties of the object
            that, hopefully, are relevant for classification. This chapter is confined
            to the simple case where the measurements are static, i.e. time inde-
            pendent. Furthermore, we assume that for each object the number of
            measurements is fixed. Hence, per object the outcomes of the measure-
            ments can be stacked to form a single vector, the so-called measurement
            vector. The dimension of the vector equals the number of meas-
            urements. The union of all possible values of the measurement vector
            is the measurement space. For some authors the word ‘feature’ is very
            close to ‘measurement’, but we will reserve that word for later use in
            Chapter 6.
              The sensory system must be designed so that the measurement vector
            conveys the information needed to classify all objects correctly. If this is
            the case, the measurement vectors from all objects behave according to
            some pattern. Ideally, the physical properties are chosen such that all
            objects from one class form a cluster in the measurement space without
            overlapping the clusters formed by other classes.
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