A new optical transformation that combines geometrical coordinate transformations with the conventional optical Fourier transform is described. The resultant transformations are invariant to both scale and rotational changes in the input object or function. Extensions of these operations to optical pattern recognition and initial experimental demonstrations are also presented.
© 1976 Optical Society of America
Original Manuscript: January 8, 1976
Published: July 1, 1976
David Casasent and Demetri Psaltis, "Position, rotation, and scale invariant optical correlation," Appl. Opt. 15, 1795-1799 (1976)