1. A compressive sense imaging system, the system comprising: a processing device configured to: determine at least one kernel matrix based on relative motion of an object during a time period corresponding to acquisition of at least one of a plurality of compressive measurements representing a compressed image of the object; determine a reconstruction basis matrix to compensate for the relative motion of the object during the time period based on the at least one kernel matrix; and, generate an uncompressed image of the object from the plurality of compressive measurements using the reconstruction basis matrix.