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  5. Constraints to solve parallelogram grid problems in 2D non separable linear canonical transform
 
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Constraints to solve parallelogram grid problems in 2D non separable linear canonical transform

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Author(s)
Zhao, Liang 
Healy, John J. 
Muniraj, Inbarasan 
Cui, Xiao-Guang 
Malallah, Ra'ed 
Ryle, James P. 
Sheridan, John T. 
Uri
http://hdl.handle.net/10197/8716
Date Issued
27 April 2017
Date Available
14T15:49:02Z August 2017
Abstract
The 2D non-separable linear canonical transform (2D-NS-LCT) can model a range of various paraxial optical systems. Digital algorithms to evaluate the 2D-NS-LCTs are important in modeling the light field propagations and also of interest in many digital signal processing applications. In [Zhao 14] we have reported that a given 2D input image with rectangular shape/boundary, in general, results in a parallelogram output sampling grid (generally in an affine coordinates rather than in a Cartesian coordinates) thus limiting the further calculations, e.g. inverse transform. One possible solution is to use the interpolation techniques; however, it reduces the speed and accuracy of the numerical approximations. To alleviate this problem, in this paper, some constraints are derived under which the output samples are located in the Cartesian coordinates. Therefore, no interpolation operation is required and thus the calculation error can be significantly eliminated.
Sponsorship
Science Foundation Ireland
Other Sponsorship
Insight Research Centre
Type of Material
Conference Publication
Keywords
  • Personal sensing

  • Digital holography

  • ABCD transforms

  • Numerical approximati...

  • Discrete optical sign...

Web versions
https://spie.org/conferences-and-exhibitions/optics-and-optoelectronics
Language
English
Status of Item
Peer reviewed
Description
Optics and Optoelectronics, Prague, Czech Republic, 24-27 April 2017
This item is made available under a Creative Commons License
https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
Owning collection
Insight Research Collection
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