# Perspective projections in the space-frequency plane and fractional Fourier transforms.

@article{Yetik2000PerspectivePI, title={Perspective projections in the space-frequency plane and fractional Fourier transforms.}, author={I. S. Yetik and H. Ozaktas and B. Barshan and L. Onural}, journal={Journal of the Optical Society of America. A, Optics, image science, and vision}, year={2000}, volume={17 12}, pages={ 2382-90 } }

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.

#### Figures and Topics from this paper.

22 Citations

Signal recovery from partial fractional Fourier domain information and its applications

- Mathematics
- 2008

17- PDF

The Fractional Fourier Transform and Its Applications to Image Representation and Beamforming

- Mathematics
- 2003

1- PDF

Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems

- Mathematics, Computer Science
- 2014 22nd Signal Processing and Communications Applications Conference (SIU)
- 2014

1- PDF

Interpolating Between Periodicity and Discreteness Through the Fractional Fourier Transform

- Mathematics
- IEEE Transactions on Signal Processing
- 2006

9- PDF

Characterization of diffraction patterns directly from in-line holograms with the fractional Fourier transform.

- Physics, Medicine
- Applied optics
- 2002

31

Beamforming using the fractional Fourier transform

- Mathematics, Computer Science
- IEEE Trans. Signal Process.
- 2003

67- PDF

Fractional Fourier transform pre-processing for neural networks and its application to object recognition

- Computer Science, Medicine
- Neural Networks
- 2002

46- PDF

Fractional free space, fractional lenses, and fractional imaging systems.

- Medicine, Physics
- Journal of the Optical Society of America. A, Optics, image science, and vision
- 2003

4- PDF

The fractional Fourier transform and its application to high resolution SAR imaging

- Computer Science
- 2007 IEEE International Geoscience and Remote Sensing Symposium
- 2007

12

#### References

SHOWING 1-10 OF 41 REFERENCES

The fractional Fourier transform and time-frequency representations

- Mathematics, Computer Science
- IEEE Trans. Signal Process.
- 1994

1,497

The Fractional Fourier Transform: with Applications in Optics and Signal Processing

- Mathematics
- 2001

1,222

Repeated filtering in consecutive fractional Fourier domains and its application to signal restoration

- Mathematics, Computer Science
- IEEE Trans. Signal Process.
- 1999

95- PDF