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Proceedings Paper

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

Paper Details

Date Published: 31 May 2017
PDF: 7 pages
Proc. SPIE 10233, Holography: Advances and Modern Trends V, 102331V (31 May 2017); doi: 10.1117/12.2265862
Show Author Affiliations
Liang Zhao, Univ. College Dublin (Ireland)
John J. Healy, Univ. College Dublin (Ireland)
Inbarasan Muniraj, Univ. College Dublin (Ireland)
Xiao-Guang Cui, Institute of Automation (China)
Ra'ed Malallah, Univ. College Dublin (Ireland)
Univ. of Basrah (Iraq)
James P. Ryle, Univ. College Dublin (Ireland)
John T. Sheridan, Univ. College Dublin (Ireland)


Published in SPIE Proceedings Vol. 10233:
Holography: Advances and Modern Trends V
Miroslav Hrabovský; John T. Sheridan; Antonio Fimia, Editor(s)

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