A system that transitions from freeform camera motion to surface following motion as a surface of an object is approached by clipping the vectors for closest point and look-at point. When the surface is reached and while following the surface the user can designate an up model that sets an up vector to conform the view to a users expectations while the system operates using a local up vector for computations. A restricted surface field of view along with an obstacle field of view can be used by the system to allow the view to traverse cavities and maintain a specified surface following distance from an obstacle, from a wall and from a floor.