A method is for detecting a possible collision of at least two objects moving with respect to each other by simulating the intended relative motion of the two objects. At least one of the objects is assigned an envelope surrounding the object, the path line represents the relative motion of the objects is covered in steps of a defined step size, and the occurrence of an overlap of the objects is detected for ascertaining a possible collision of the objects. For at least one object, the outer contour of the corresponding envelope is used as a datum for detecting an overlap. At least one object is assigned an inner and an outer envelope, of which the inner envelope surrounds the object and the outer envelope surrounds the inner envelope. The outer envelope is used as a datum for detecting an overlap of the two objects, and when an overlap is detected in a segment of the path line, the segment of the path line is re-traversed using a smaller, second step size. When the segment of the path line is re-traversed, the inner envelope of at least one of the objects is used as a datum for detecting an overlap.