Title
Fast recurrence relation for computer-generated-hologram.
Abstract
In this paper, we derive a fast recurrence relation for a computer-generated-hologram (CGH). The recurrence relation based on Taylor expansion reduces the number of cosine computations as compared with conventional CGH formula. The recurrence relation calculates a CGH 7 or 8 times faster than the conventional CGH formula on a CPU and graphics processing unit (GPU). In addition, there is almost no difference between a CGH generated by the recurrence relation and that generated by the conventional type.
Year
DOI
Venue
2012
10.1016/j.cpc.2011.08.015
Computer Physics Communications
Keywords
Field
DocType
Computer-generated-hologram,Diffraction,Digital holography,Graphics processing unit,Holography,Parallel computing
Holography,Discrete mathematics,Trigonometric functions,Digital holography,Recurrence relation,Mathematical analysis,Algorithm,Graphics processing unit,Mathematics,Taylor series,Computation
Journal
Volume
Issue
ISSN
183
1
0010-4655
Citations 
PageRank 
References 
2
0.49
2
Authors
5
Name
Order
Citations
PageRank
Jiantong Weng1132.23
Tomoyoshi Shimobaba23714.61
Minoru Oikawa3403.47
Nobuyuki Masuda4186.20
Tomoyoshi Ito54319.59