Abstract: Systems and methods related to roadmaps for robotic devices are provided. A computing device can receive a roadmap representing a plurality of paths through an environment. The computing device can discretize the roadmap to obtain a discrete planning graph having a plurality of states corresponding to discretized segments of the plurality of paths of the roadmap such that states corresponding to adjacent discretized path segments are connected in the discrete planning graph. The computing device can determine a Boolean equation representing at least a portion of the discrete planning graph. The computing device can determine a sequence of states from the plurality of states of the discrete planning graph such that the determined sequence of states satisfies the Boolean equation. The computing device can provide a route through the environment for a robotic device based on the determined sequence of states.

Abstract: A computing device can determine a roadmap having a path for a robotic device in an environment associated with starting and ending poses. The computing device can generate a plurality of trajectories from the starting pose, where each trajectory can include a steering position and a traction velocity directing the robotic device during a planning time interval. For each trajectory of the plurality of trajectories, the computing device can determine a score for the trajectory indicative of advancement from the starting pose toward the ending pose after simulating the steering position and the traction velocity for the planning time interval. The computing device can select, and then store, a nominal trajectory from among the scored plurality of trajectories. The computing device can receive a first request to provide a route though the environment and can send a first response that includes the stored nominal trajectory.

Abstract: Systems and methods related to roadmaps for mobile robotic devices are provided. A computing device can receive a roadmap. The roadmap can include an intersection between first and second edges. The computing device can determine a transition curve between the first and second edges and includes first, second, and third curve segments. The first and second curve segments can connect at a first curve junction point. The second and third curve segments can connect at a second curve junction point. The first and third curve segments each include a segment of an Euler spiral and the second curve segment can be a circular curve segment having a fixed radius. The computing device can update the roadmap by replacing the intersection between the first and second edges with the transition curve. The computing device can provide the updated roadmap.

Abstract: Systems and methods related to roadmaps for mobile robotic devices are provided. A computing device can receive a roadmap. The roadmap can include an intersection between first and second edges. The computing device can determine a transition curve between the first and second edges and includes first, second, and third curve segments. The first and second curve segments can connect at a first curve junction point. The second and third curve segments can connect at a second curve junction point. The first and third curve segments each include a segment of an Euler spiral and the second curve segment can be a circular curve segment having a fixed radius. The computing device can update the roadmap by replacing the intersection between the first and second edges with the transition curve. The computing device can provide the updated roadmap.

Abstract: Systems and methods related to roadmaps for mobile robotic devices are provided. A computing device can receive a roadmap. The roadmap can include an intersection between first and second edges. The computing device can determine a transition curve between the first and second edges and includes first, second, and third curve segments. The first and second curve segments can connect at a first curve junction point. The second and third curve segments can connect at a second curve junction point. The first and third curve segments each include a segment of an Euler spiral and the second curve segment can be a circular curve segment having a fixed radius. The computing device can update the roadmap by replacing the intersection between the first and second edges with the transition curve. The computing device can provide the updated roadmap.