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http://dx.doi.org/10.6109/jkiice.2017.21.4.820

Implementation of High-Speed Fresnelet Transform using Daubechies's Filter  

Seo, Young-Ho (Ingenium College of Liberal Arts, Kwangwoon University)
Lee, Yoon-Hyuk (Department of Electronic Materials Engineering, Kwangwoon University)
Kim, Dong-Wook (Department of Electronic Materials Engineering, Kwangwoon University)
Publication Information
Journal of the Korea Institute of Information and Communication Engineering / v.21, no.4, 2017 , pp. 820-828 More about this Journal
Abstract
Service of digital hologram that has been recognized as a visual system for next generation requires various signal processing technologies. A transform is the most frequently used tool among signal processing techniques for 2-dimensional(D) and 3-D natural picture. A digital hologram has totally different property with a natural picture, so it is rarely efficient to apply transform tools used in 2-D image processing to a digital hologram. To overcome this a Fresnelet transform for a digital hologram has been proposed. We derive a Fresnelet transform by using the Daubechie's filter after applying an unitary Fresnel transform to a wavelet basis function. We also implement the transform as types of device and kernel code to improve operational performance. In consideration of the average time that is required for a pixel we can have observed the performance is improved up to 242 and 30 times for using the (9,7) and (5,3) filters in case of using device code.
Keywords
Fresnelet; wavelet; Fresnel; digital hologram; signal processign; transform;
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