Rigidity and Smoothness of Motion

Abstract

sMany theories of structure from motion divide the process into twosparts which are solved using different assumptions. Smoothness of thesvelocity field is often assumed to solve the motion correspondencesproblem, and then rigidity is used to recover the 3D structure. Wesprove results showing that, in a statistical sense, smoothness of thesvelocity field follows from rigidity of the motion.