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44     2  Basic Relations: Image Sequences – “the World”


            about “the world” is affixed to object and subject classes. Of course, the ones of
            most importance are those one has to deal with most frequently in everyday life.
            Therefore, developing the sense of vision for road or air vehicles requires knowl-
            edge about objects and subjects encountered in these contexts most frequently; but
            also critical events which may put the achievement of mission goals at risk have to
            be known, even when their appearance is rather rare.



            2.2.1 Generic 4-D Object Classes
            The efficiency of the 4-D approach to dynamic vision is achieved by associating
            background knowledge about classes of objects and their behavioral capabilities
            with measurement data input. This knowledge is available in generic form, that is,
            structural information typical for object classes is fixed while specific parameters
            in the models have to be adapted to the special case at hand. Motion descriptions
            for the center of gravity (the translational trajectory of the cg in space) forming the
            so-called “where”-problem, are separated from shape descriptions, called the
            “what”-problem. Typically, summing and averaging of feature positions is needed
            to solve the “where”-problem while differencing of feature positions contributes to
            solving the “what”-problem. In the approach chosen, the “where”-problem con-
            sists of finding the translational transformation parameters in the homogeneous
            transformations involved. The “what”-problem consists of finding an appropriate
            generic shape model and the best fitting shape and photometric parameters for this
            model after perspective projection (possibly including rotational degrees of free-
            dom to account for the effects of aspect conditions).
              As in computer graphics, all shape description is done in object-centered coor-
            dinates in 3-D, if possible, to take full advantage of a decoupled motion description
            relative to other objects.


            2.2.2 Stationary Objects, Buildings

            In road traffic, the road network and vegetation as well as buildings near the road
            are the stationary objects of most interest; roads will be discussed in Chapters 7 to
            10. Highly visible large structures may be used as landmarks for orientation. The
            methods for shape representation are the same as for mobile objects; they do not
            need a motion description, however. These techniques are well known from com-
            puter graphics and are not treated here.


            2.2.3 Mobile Objects in General

            In this introductory chapter, only the basic ideas for object representation in the 4-
            D approach will be discussed. Detailed treatment of several object classes is done
            in connection  with the application  domain (Chapter  14). As far as  possible, the
            methods used are taken from computer graphics to tap the large experience accu-
            mulated in that area. The major difference is that in computer vision, the actual
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