1. A computer-implemented method for classifying an object, comprising: (a) constructing, by a processor, at least one quotient appearance manifold mapping based on a sample image to untangle appearance fiber bundles of different objects, wherein the at least one quotient appearance manifold mapping associates points of an appearance manifold to a quotient manifold; (b) reducing, by the processor, dimensionality of the quotient appearance manifold mapping to generate at least one feature characteristic of the sample image; and (c) training, by the processor, based on said feature, at least one classifier adapted for associating the object with an object class.