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                           a) Image Space                      b) Model Space             Chapter 4
                                                               β =r [m]
                                                                1









                                                                                      β =α [rad]
                                                                                       0
                               A set of n  neighboring points  Evidence accumulation in the model space
                                     f
                                   of the image space          → Clusters of normally distributed vectors

                           Figure 4.38
                           Clustering: finding neighboring segments of a common line [37].



                           feature represented in the measurement set. This more realistic scenario is shown in figure
                           4.38.
                             The process of dividing up a set of measurements into subsets that can be interpreted one
                           by one is termed segmentation and is an important aspect of both range-based and vision-
                           based perception. A diverse set of techniques exist for segmentation of sensor input in gen-
                           eral. This general problem is beyond the scope of this text and for details concerning seg-
                           mentation algorithms, refer to [91, 131].
                             For example, one segmentation technique is the merging, or bottom-up technique in
                           which smaller features are identified and then merged together based on decision criteria to
                           extract the goal features. Suppose that the problem of figure 4.38. is solved through merg-
                           ing. First, one may generate a large number of line segments based on adjacent groups of
                           range measurements. The second step would be to identify line segments that have a high
                           probability of belonging to the same extracted light feature. The simplest measure of the
                                                    5
                                                             ,
                                                                            ,
                           closeness of two line segments   x =  [ α r ]   and  x =  [ α r ]   in the model space is
                                                               1
                                                                      2
                                                                            2
                                                                              2
                                                      1
                                                            1
                           given by Euclidean distance:
                                ( x –  x ) x –  x ) =  ( α –  α ) + ( r –  r ) 2             (4.79)
                                       T
                                                         2
                                        (
                                  1  2   1   2      1   2    1   2
                           5. Note: The lines are represented in polar coordinates.
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