Perspective projections in the space-frequency plane are analyzed, and it is shown that under certain conditions they can be approximately modeled in terms of the fractional Fourier transform. The region of validity of the approximation is examined. Numerical examples are presented.
© 2000 Optical Society of America
Original Manuscript: March 16, 2000
Revised Manuscript: July 6, 2000
Manuscript Accepted: July 10, 2000
Published: December 1, 2000
İ. Şamil Yetik, Haldun M. Ozaktas, Billur Barshan, and Levent Onural, "Perspective projections in the space-frequency plane and fractional Fourier transforms," J. Opt. Soc. Am. A 17, 2382-2390 (2000)