Complete coverage means visiting every point of the given environment at least once.
We have developed complete coverage strategies for the planar environments. However, the automobile body surfaces are embedded in three dimensions, so we have to lift the coverage strategies to three dimensions. The car body surface is painted by tracing a sequence of points which are a fixed distance away from the car surface. These points lie on the surface termed offset surface every point of which is a fixed distance away from the car surface. To ensure complete coverage of the car surface, it is necessary to completely cover the offset surface.