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12      1  Introduction


            m/s²) and with 0.5 seconds reaction time] is 15 + 113 = 128 m. For half the magni-
                                   2
            tude in deceleration (í 2 m/s , e.g., under unfavorable road conditions) the braking
            distance would be 240 m.
              Reliable distance estimation for road vehicles occurs under mapping conditions
            with at least about 20 pixels on the width of the vehicle (typically of about 2 m in
            dimension). The total field of  view of a  single camera  at a distance of  130 m,
            where this condition is satisfied, will be about 76 m (for ~ 760 pixel per line). This
            corresponds to an aperture angle of ~ 34°. This is certainly not enough to cover an
            adequate field of view in the near range. Therefore, at least a bifocal camera ar-
            rangement is required with two different focal lengths (see Figure 1.3).

                    f = 7.5 mm   f = 24 mm
              Wide          Tele

                   46°             15°
              angle
              At distance L 5 ~ 20 m (~ 60 m),
                 the resolution is 5 cm/pixel

             Figure 1.3. Bifocal arrangement of miniature TV–cameras on a pan platform in front of
             the rear view mirror of test vehicles VaMP and VITA 2, Prometheus, 1994. Left: Fields
             of view and ranges (schematically), right: System realized in VaMP


              For a  rather flexible high  performance “technical eye”  a trifocal camera ar-
            rangement as shown in  Figure 1.4 is recommended. The two  wide-angle CCD-
            cameras with focal length of 4 to 6 mm and with divergent optical axes do have a
            central  range of  overlapping image areas,  which allows stereo–interpretation
            nearby. In total, a field of view of about 100 to 130 degrees can be covered; this al-
            lows surveying about one–third of the entire panorama.
              The mild telecamera with three to four times the focal length of the wide-angle
            one should be a three–chip color camera for more precise object recognition. Its
            field of view is contained in the stereo field of view of the wide-angle cameras
            such that trinocular stereointerpretation becomes possible [Rieder 1996].

                    f = 4.8 mm  wide field
                             of view  f = 16 mm              f = 50 mm
                                 ~45°
                    Single-             Three-chip color camera
                    chip
                                 ~23°                             ~7°
                    color
                                                       High-sensitivity
                    cameras        Divergent trinocular stereo
                                                       b/w–camera
                             >100°
                      L   = ~30m      L   ~ 100 m       L   ~ 300 m
                       0.05            0.05              0.05
                     Figure 1.4. Trifocal camera arrangement with wide field of view
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