A three-dimensional object is initially transformed using an initial three-dimensional transformation in response to the detected movement of at least one touch point of a set of touch points placed on a multi-touch display device, each touch point in the set being matched with a contact point on the surface of the object. If the initially transformed object does not correspond to a rotational exhaustion situation, displaying the initially transformed object on the multi-touch display device. If the initially transformed object corresponds to a rotational exhaustion situation, calculating a corrected three-dimensional transformation of the object by using an algorithm that fixes at least one degree of freedom of object orientation to a value corresponding to an orientation of the object prior to the detected movement of the at least one touch point. Transforming the object using the corrected three-dimensional transformation and displaying the transformed object.