Page 226 - Sensing, Intelligence, Motion : How Robots and Humans Move in an Unstructured World
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PLANAR REVOLUTE–REVOLUTE (RR) ARM  201




                                                                 b 6

                                                                b 7

                                a 7
                  a 3
                                     a 6
                                    a            b 8
               a 8                  2              b 9
                                                  b 4  b
              a 4                                    3   b
                                     a 1                  5
                                                               b
                  a 9                                           2
                                                                     b
                        a 5                                          1
                                            (a)








                                   9

                                                      8
                         5
                  10                              4
                                                               3



                     1
                                     6

                                                                  2
                                                                      7


                                            (b)

            Figure 5.10 (a) W-space and (b) C-space with an obstacle whose virtual boundary in
            C-space is formed by two nonintersecting closed curves. The curves’ ranges are C 1 =
            2π, C 2 = 2π, making this another example of Type II cases shown in Figures 5.8d and
            5.8e. Each point P i ,i = 1,..., 10, on the obstacle virtual boundary in C-space is defined
            by the corresponding pair of points (a i ,b i ) in W-space.
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