Progress on the algorithmic foundations of robotics is critical to the technology. This volume gathers together cutting-edge research presented at the Third Workshop on the Algorithmic Foundations of Robotics, and gives a solid overview of the state of the art in robot algorithms. The papers cover core problems in robotics, such as motion planning, sensor-based planning, manipulation, and assembly planning. They also examine the application of robotics algorithms in domains like molecular modeling, geometric modeling, and computer-assisted surgery.