Page 316 - Sensing, Intelligence, Motion : How Robots and Humans Move in an Unstructured World
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THE CASE OF THE PPP (CARTESIAN) ARM  291

                                     l 3




                                                           T
                                                         c
                                           V-plane  O 1





                                    o            a             l
                                                          T′    2
                                                  b     c′
                                          S       b′
                                                a′

                                          S′


                           l 1
                                         (a)
                                     l 3
                                                    V-plane


                                                       T

                                             O 1
                                                   c




                                    o                 T′       l
                                         a                      2
                                                  c′
                                               L
                                   S
                                                  b
                                           H

                                    S′
                           l 1           (b)

            Figure 6.9 C-space with a Type III obstacle. (a) Curve abc is the intersection curve
            between the obstacle and V-plane that would be followed by the algorithm. (b) Here
            the Type III obstacle intersects the floor of C-space. Curve aHbLc is the intersection
            curve between the obstacle and V-plane and C-space floor that would be followed by the
            algorithm.
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