Page 210 - Introduction to Autonomous Mobile Robots
P. 210

Mobile Robot Localization

                           a)                                                                  195
                              probability P



                                                                     position x

                           b)
                              probability P




                                                                     position x
                           c)

                              probability P




                                                                     position x
                           d)

                             probability P


                                                                      node
                                                                      of topological map
                                   A    B    C     D    E    F    G


                           Figure 5.9
                           Belief representation regarding the robot position (1D) in continuous and discretized (tessellated)
                           maps. (a) Continuous map with single-hypothesis belief, e.g., single Gaussian centered at a single
                           continuous value. (b) Continuous map with multiple-hypothesis belief, e.g;. multiple Gaussians cen-
                           tered at multiple continuous values. (c) Discretized (decomposed) grid map with probability values
                           for all possible robot positions, e.g.; Markov approach. (d) Discretized topological map with proba-
                           bility value for all possible nodes (topological robot positions), e.g.; Markov approach.
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