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2.2 Objects      49



              This difficult task has to be solved in the initialization phase. Within each class
            of aspect conditions hypothesized, in addition, good initial estimates of the relevant
            state variables and parameters for recursive iteration have to be inferred from the
            relative distribution of features. Figure 2.16 shows the features for a typical car; for
            each vehicle class shown at the top, the lower part has special content.

                       (horse)                      Aspect graph
                        Cart  Vehicle  Truck
                                                                    Aspect
                Vehi-                                             hypothesis
                                                 Typical features  instantiated
                                         Van
                  cle                              for this
                        Motorcycle               aspect condition  View from
                                                              rear left
                types    bicycle                                   Right rear group
                                   Straight from    Left front group   of lights
                                    front           of lights
                                                      Left front
                                                                    Right rear
                 Single                               wheel         wheel
                       Front  Car      Front      Elliptical
                       right           left       central blob      License plate
                vehicle
                      Straight         Straight   Dark tire below   Dark area
                        right           left      body line  Left rear   underneath car
                aspect                                   wheel
                                                                Left rear
                         Rear                       Elliptical   group of lights
                  tree   right       Rear           central blob
                            Straight  left          Dark tire below body
                            behind
             Figure 2.16. Vehicle types, aspect conditions, and feature distributions for recognition
             and classification of vehicles in road scenes
              In Figure 2.17, a sequence of appearances of a car is shown driving in simula-
            tion on an oval course. The car is tracked from some distance by a stationary cam-
            era with gaze control that keeps the car always in the center of the image; this is
            called fixation-type vision and is assumed to function ideally in this simulation,
            i.e., without any error).
              The figure shows but a few snapshots of a steadily moving vehicle with sharp
            edges in simulation. The actual aspect conditions are computed according to a mo-
            tion model and graphically displayed on a screen, in front of which a camera ob-
            serves the motion process. To be able to associate the actual image interpretation
            with the results of  previous  measurements, a  motion model is necessary in the
            analysis process also, constraining the actual motion in 3-D; in simulation, of
            course, the generic dynamical model is the same as in simulation. However, the ac-
            tual control input is  unknown and  has to  be  reconstructed  from the trajectory
            driven and observed (see Section 14.6.1).


            2.2.5 Representation of Motion
            The laws and characteristic parameters describing motion behavior of an object or
            a subject along the fourth dimension, time, are the equivalent to object shape repre-
            sentations in 3-D space. At first glance, it might seem that pixel position in the im-
            age plane does not depend on the actual speed components in space but only on the
            actual position. For one time this is true; however, since one wants to understand 3-
            D motion in a temporally deeper fashion, there are at least two points requiring
            modeling of temporal aspects:
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