A robotic catheter control system includes a collision detection logic configured to determine a collision metric indicative of a collision between a medical device that is manipulated by the robotic control system and an object. The object may be an anatomical feature or can be another medical device, including another device being manipulated by the robotic control system. The collision detection logic produces virtual representations of the medical device and the object and uses these representation to determine collision. Geometrical solids, such as spheres, are used to represent the outer surfaces of the devices and the logic determines whether the respective surfaces intersect, thereby indicating collision. Collision avoidance involves estimating future device poses and then computing an alternate path computation so as avoid predicted collision(s).