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                     FIGURE 8.14  Trained image.


                          be unrecognizable because they are partially or completely occluded.
                          And, finally, if the objects are defective (Fig. 8.14), the features are
                          even less predictable and hence harder to find.
                             Since global features are not computable from a partial view of an
                          object, recognition systems for these more complex tasks are forced to
                          work with either local features, such as small holes and corners, or
                          extended features like a large segment of an object’s boundary. Both
                          types of feature, when found, provide constraints on the position and
                          the orientations of their objects. Extended features are in general com-
                          putationally more expensive to find, but they provide more informa-
                          tion because they tend to be less ambiguous and more precisely
                          located.
                             Given a description of an object in terms of its features, the time
                          required to match this description with a set of observed features
                          appears to increase exponentially with the number of features. The
                          multiplicity of features precludes the straightforward application of
                          any simple matching technique. Large numbers of features have been
                          identified by locating a few extended features instead of many local
                          ones. Even though it costs more to locate extended features, the
                          reduction in the combinatorial explosion is often worth it. The other
                          approach is to start by locating just one feature and use it to restrict
                          the search area for nearby features. Concentrating on one feature
                          may be risky, but the reduction in the total number of features to be
                          considered is often worth it.  Another approach is to sidestep the
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