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Proceedings Paper

Fast and accurate algorithms for quadratic phase integrals in optics and signal processing
Author(s): Aykut Koç; Haldun M. Ozaktas; Lambertus Hesselink
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Paper Abstract

The class of two-dimensional non-separable linear canonical transforms is the most general family of linear canonical transforms, which are important in both signal/image processing and optics. Application areas include noise filtering, image encryption, design and analysis of ABCD systems, etc. To facilitate these applications, one need to obtain a digital computation method and a fast algorithm to calculate the input-output relationships of these transforms. We derive an algorithm of NlogN time, N being the space-bandwidth product. The algorithm controls the space-bandwidth products, to achieve information theoretically sufficient, but not redundant, sampling required for the reconstruction of the underlying continuous functions.

Paper Details

Date Published: 19 May 2011
PDF: 5 pages
Proc. SPIE 8043, Three-Dimensional Imaging, Visualization, and Display 2011, 804304 (19 May 2011); doi: 10.1117/12.884676
Show Author Affiliations
Aykut Koç, Stanford Univ. (United States)
Haldun M. Ozaktas, Bilkent Univ. (Turkey)
Lambertus Hesselink, Stanford Univ. (United States)

Published in SPIE Proceedings Vol. 8043:
Three-Dimensional Imaging, Visualization, and Display 2011
Bahram Javidi; Jung-Young Son, Editor(s)

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