Page 143 - Concise Encyclopedia of Robotics
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Graphical Path Planning
                            declines, but does not instantly drop to zero. The illustration is a graph of
                            the behavior of a hypothetical robotic system with graceful degradation.
                              In the event of a subsystem malfunction, a sophisticated computer or
                            robot controller can use other circuits to accomplish the tasks of the failed
                            part of the system temporarily.The human operator or attendant is notified
                            that something is wrong, and technicians can fix it, often with little or no
                            downtime. Compare FAULT RESILIENCE.
                         GRAPHICAL PATH PLANNING
                            Graphical path planning is a method of navigation used by mobile robots.
                            It is a specialized scheme or set of schemes for the execution of metric
                            path planning. In graphical path planning, all possible routes are plotted
                            on a computer map of the work environment. These routes can be chosen
                            in various ways, by employing specific algorithms.
                              In an open work environment (that is,one in which there are no hazards
                            or obstructions),the best routes are usually straight lines between the nodes,
                            or stopping points (Fig. 1). The algorithm for determining these paths is
                            comparatively simple; it can be represented by a set of linear equations in
                            the robot controller. An obstacle, barrier, or hazard can complicate this
                            scenario, but only if it intersects, or nearly intersects, one of the lines
                            determined by the linear equations.To avoid mishaps,the algorithm can be
                            modified to include a statement to the effect that the machine must never
                            come closer than a certain distance to an obstacle, barrier, or hazard.
                            Proximity sensing can be employed to detect these situations.
                              In a work environment in which there are numerous obstacles or
                            hazards, or where there are barriers such as walls separating rooms and
                            hallways, the straight-line algorithm is not satisfactory, even in amended
                            form, because too many modifications are necessary. One scheme that
                            works quite well in this type of environment is the Voronoi graph. The













                            Graphical path planning—Fig. 1




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