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

Authors: 

Liang Zhao, John Healy, Inbarasan Muniraj, Xiao-Guang Cuic, Ra’ed Malallah, James Ryle, John Sheridan

Publication Type: 
Refereed Conference Meeting Proceeding
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
Conference Name: 
in SPIE Optics + Optoelectronics, for April 2017 (Accepted in Jan. 2017
Digital Object Identifer (DOI): 
xxx
Publication Date: 
03/04/2017
Conference Location: 
Czech Republic
Research Group: 
Institution: 
National University of Ireland, Dublin (UCD)
Open access repository: 
No