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Please consult the documentation. http://wiki.ros.org/navigation

The default plugins in the navigation stack are Dijkstra/A* depending on parameters and DWA for local planning.

You can implement any number of algorithms as you chose. Some folks may have implemented what you're asking for but they're not "implemented in ros", its implemented as a pluginlib plugin by someone who found that algorithm interesting for their uses and were kind enough to release it publicly. I'd do some digging if you're looking for something in particular and don't want to implement yourself.

Rviz and Gazebo aren't related to navigation, those are just the visualizer and simulator. I'd also suggest you go through some of the tutorials as prefpkg21 recommends.