Browse > Article
http://dx.doi.org/10.6109/jkiice.2019.23.3.291

Design of Fresnelet Transform based on Wavelet function for Efficient Analysis of Digital Hologram  

Seo, Young-Ho (Department of Electronic Material Engineering, Kwangwoon University)
Kim, Jin-Kyum (Department of Electronic Material Engineering, Kwangwoon University)
Kim, Dong-Wook (Department of Electronic Material Engineering, Kwangwoon University)
Publication Information
Journal of the Korea Institute of Information and Communication Engineering / v.23, no.3, 2019 , pp. 291-298 More about this Journal
Abstract
In this paper, we propose a Fresnel transform method using various wavelet functions to efficiently decompose digital holograms. After implementing the proposed wavelet function-based Fresnelet transforms, we apply it to the digital hologram and analyze the energy characteristics of the coefficients. The implemented wavelet transform-based Fresnelet transform is well suited for reconstructing and processing holograms which are optically obtained or generated by computer-generated hologram technique. After analyzing the characteristics of the spline function, we discuss wavelet multiresolution analysis method based on it. Through this process, we proposed a transform tool that can effectively decompose fringe patterns generated by optical interference phenomena. We implement Fresnelet transform based on wavelet function with various decomposition properties and show the results of decomposing fringe pattern using it. The results show that the energy distribution of the coefficients is significantly different depending on whether the random phase is included or not.
Keywords
Fresnelet transform; wavelet transform; fresnel diffraction; digital hologram; signal process;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 P. Rmachandran, Z. C. Alex, and A. Nelleri, "Compressive Fresnel digital holography using Fresnelet based sparse representation," Optices Communications, vol. 340, pp. 110-115, 2015.   DOI
2 Y. H. Seo, M. S. Kim, and D. W. Kim, "Quad-tree Subband Quantizer Design for Digital Hologram Encoding based on Fresenelet," Journal of the Korea Institute of Information and Communication Engineering, vol. 19, no. 5, pp. 1180-1188, May 2015.   DOI
3 M. Unser, "A practical method for determining the accuracy of computer-generated holograms for off-axis aspheric surfaces," Optics and Lasers in Engineering. vol. 77, pp. 154-161, 2016.   DOI
4 T. Shimobaba, and T. Ito, "Random phase-free computergenerated hologram," Optical Express, vol. 23, pp. 9549-9554, 2015.   DOI
5 JPEG Pleno, [Internet], Available: https://jpeg.org/jpegpleno/
6 T. Ebrahimi, S. Foessel, F. Pereira and P. Schelkens, "JPEG Pleno: Toward an Efficient Representation of Visual Reality." IEEE MultiMedia, vol. 23, no. 4 , pp. 14-20, 2016.   DOI
7 J. W. Goodman, and R. W. Lawrence, "Digital image formation from electronically detected holograms," Applied Physics Letter, vol. 11, no. 3, pp. 77-79, 1967.   DOI
8 C. H. Ting, K. Wakunami, K. Yamamoto, and Y. P. Huang, "Reconstruct holographic 3D objects by double phase hologram," SPIE Sensing Technology + Applications, vol. 9495, 2015.
9 T. Shimobaba, T. Kakue, Y. Endo, R. Hirayama, D. Hiyama, S. Hasegawa, Y. Nagahama, M. Sano, M. Oikawa, T. Sugie, and T. Ito, "Improvement of the image quality of random phase-free holography using an iterative method," Optics Communications, vol. 355, pp. 596-601, 2015.   DOI
10 S. Mahajan, V. Trivedi, P. Vora, V. Chhaniwal, B. Javidi, and A. Anand, "Highly stable digital holographic microscope using Sagnac interferometer," Optics Letters, vol. 40, no. 16, pp. 3743-3746, 2015.   DOI
11 D. Gabor, "A new microscopic principle," Nature, vol. 161, no. 4098, pp. 777-778, 1948.   DOI
12 J. W. Goodman, Introduction to Fourier Optics, 1996, McGraw-Hill.
13 Z. Zeng, H. Zheng, Y. Yu, and A. K. Asundi, "Sff-axis phase-only holograms of 3D objects using accelerated point-based Fresnel diffraction algorithm," Optics and Lasers in Engineering, vol. 93, pp. 47-54, 2017.   DOI
14 Y. H. Seo, Y. H. Lee, J. S. Yoo, and D. W. Kim, "High-performance Computer-generated Hologram by Optimized Implementation of parallel GPGPUs," Journal of the Optical Society of Korea, vol. 18, no. 6, 2014.
15 Y. H. Seo, Y. H. Lee, J. M. Koo, W. Y. Kim, J. S. Yoo, and D. W. Kim, "Digital holographic video service system for natural color scene," Optical Engineering, vol. 52 no. 11, 2013.
16 Y. H. Seo, Y. H. Lee, J. S. Yoo, and D. W. Kim, "Scalable hologram video coding for adaptive transmitting service," Applied Optics, vol. 52, no. 1, pp. A254-A268, Jan. 2013.   DOI
17 H. J. Choi, Y. H. Seo, and D. W. Kim, "A Frequency Characteristic Analysis of Digital Hologram in Fresnel Transform Domain," Journal of the Korea Institute of Information and Communication Engineering, vol. 17, no. 7, pp. 1505-1511, July 2012.
18 Y. H. Seo, H. J. Choi, J. S. Yoo, and D. W. Kim, "Digital hologram compression technique by eliminating spatial correlations based on MCTF," Optics Communications, vol. 283, no. 21, pp. 4261-4270, 2010.   DOI
19 H. J. Choi, Y. H. Seo, J. S. Yoo, and D. W. Kim, "Digital watermarking technique for holography interference patterns in a transform domain," Optics and Lasers in Engineering, vol.46, Issue 4, pp. 343-348, Apl. 2008.   DOI
20 I. Mehra, K. Singh, A. K. Agarwal, U Gopinathan and N. K. Nishchal, "Encrypting digital hologram of three-dimensional object using diffractive imaging," Jounal of Optics, vol. 17, no. 3, 2015.