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  2. Motion planning - Wikipedia

    en.wikipedia.org/wiki/Motion_planning

    To both subpavings, a neighbor graph is built and paths can be found using algorithms such as Dijkstra or A*. When a path is feasible in X −, it is also feasible in C free. When no path exists in X + from one initial configuration to the goal, we have the guarantee that no feasible path exists in C free. As for the grid-based approach, the ...

  3. Theta* - Wikipedia

    en.wikipedia.org/wiki/Theta*

    For the simplest version of Theta*, the main loop is much the same as that of A*. The only difference is the _ function. Compared to A*, the parent of a node in Theta* does not have to be a neighbor of the node as long as there is a line-of-sight between the two nodes.

  4. Any-angle path planning - Wikipedia

    en.wikipedia.org/wiki/Any-angle_path_planning

    Any-angle path planning algorithms are pathfinding algorithms that search for a Euclidean shortest path between two points on a grid map while allowing the turns in the path to have any angle. The result is a path that cuts directly through open areas and has relatively few turns. [ 1 ]

  5. Real-time path planning - Wikipedia

    en.wikipedia.org/wiki/Real-time_path_planning

    Real-Time Path Planning is a term used in robotics that consists of motion planning methods that can adapt to real time changes in the environment. This includes everything from primitive algorithms that stop a robot when it approaches an obstacle to more complex algorithms that continuously takes in information from the surroundings and creates a plan to avoid obstacles.

  6. A* search algorithm - Wikipedia

    en.wikipedia.org/wiki/A*_search_algorithm

    The algorithm continues until a removed node (thus the node with the lowest f value out of all fringe nodes) is a goal node. [b] The f value of that goal is then also the cost of the shortest path, since h at the goal is zero in an admissible heuristic. The algorithm described so far only gives the length of the shortest path.

  7. Wavefront expansion algorithm - Wikipedia

    en.wikipedia.org/wiki/Wavefront_expansion_algorithm

    The plan is a trajectory from start to goal and describes, for each moment in time and each position in the map, the robot's next action. Path planning is solved by many different algorithms, which can be categorised as sampling-based and heuristics-based approaches. Before path planning, the map is discretized into a grid. The vector ...

  8. Probabilistic roadmap - Wikipedia

    en.wikipedia.org/wiki/Probabilistic_roadmap

    The probabilistic roadmap [1] planner is a motion planning algorithm in robotics, which solves the problem of determining a path between a starting configuration of the robot and a goal configuration while avoiding collisions. An example of a probabilistic random map algorithm exploring feasible paths around a number of polygonal obstacles

  9. Contraction hierarchies - Wikipedia

    en.wikipedia.org/wiki/Contraction_hierarchies

    A path from to is a sequence of edges (road sections); the shortest path is the one with the minimal sum of edge weights among all possible paths. The shortest path in a graph can be computed using Dijkstra's algorithm but, given that road networks consist of tens of millions of vertices, this is impractical. [ 1 ]