The Structure of Multiplicative Motions in Natural Imagery

—A theoretical investigation of the frequency structure of multiplicative image motion signals is presented, e.g., as associated with translucency phenomena. Previous work has claimed that the multiplicative composition of visual signals generally results in the annihilation of oriented structure in the spectral domain. As a result, research has focused on multiplicative signals in highly specialized scenarios, where highly structured spectral signatures are prevalent, or introduced a non-linearity to transform the multiplicative image signal to an additive one. In contrast, in this paper it is shown that oriented structure is present in multiplicative cases when natural domain constraints are taken into account. This analysis suggests that the various instances of naturally occurring multiple motion structures can be treated in a unified manner. As an example application of the developed theory, a multiple motion estimator previously proposed for translation, additive transparency ...

• Type: Journal
• Year: 2010
• Where: PAMI
• Authors: Konstantinos G. Derpanis, Richard P. Wildes
• Keywords: Multiplicative Image, Multiplicative Image Motions, Multiplicative Image Signal, PAMI 2010