Error diffusion method with optimized weighting coefficients for binary hologram generation.

The error diffusion method can effectively reduce quality degradation by propagating thresholding errors to neighboring pixels in the conversion of a gray-scale hologram to a binary hologram. In previous works, the four weighting coefficients in error diffusion are mostly set as the Floyd-Steinberg coefficient, which was determined empirically and originally proposed for photograph processing. In this work, we point out that the Floyd-Steinberg coefficients can be suboptimal for hologram error diffusion binarization. Furthermore, the weighting coefficients are optimized for each different hologram adaptively. Compared with conventional coefficients, our optimized coefficients can better preserve the fidelity of a reconstructed image after a hologram is binarized.

[1]  Chenliang Chang,et al.  Speckleless holographic display by complex modulation based on double-phase method. , 2016, Optics express.

[2]  Pavel A. Cheremkhin,et al.  Comparative appraisal of global and local thresholding methods for binarisation of off-axis digital holograms , 2019, Optics and Lasers in Engineering.

[3]  Peter Wai Ming Tsang,et al.  Automatic decomposition of a complex hologram based on the virtual diffraction plane framework , 2014 .

[4]  R. Gerchberg A practical algorithm for the determination of phase from image and diffraction plane pictures , 1972 .

[5]  Andreas Georgiou,et al.  Holographic near-eye displays for virtual and augmented reality , 2017, ACM Trans. Graph..

[6]  Jan P. Allebach,et al.  Efficient design of direct-binary-search computer-generated holograms , 1991 .

[7]  Wei Lei,et al.  Speckle-suppressed phase-only holographic three-dimensional display based on double-constraint Gerchberg-Saxton algorithm. , 2015, Applied optics.

[8]  Dandan Li,et al.  Image Matching Using Genetic Algorithm on GPU , 2011, 2011 International Conference on Control, Automation and Systems Engineering (CASE).

[9]  Yongtian Wang,et al.  Color holographic display using a phase-only spatial light modulator , 2013 .

[10]  Teruyoshi Nobukawa,et al.  Multiplexed recording with uncorrelated computer-generated reference patterns in coaxial holographic data storage. , 2015, Optics letters.

[11]  Peter Wai Ming Tsang,et al.  Generation of edge-preserved noise-added phase-only hologram , 2016 .

[12]  Nickolas S. Sapidis From the topical issue editor , 2012 .

[13]  Thibault Leportier,et al.  Converting optical scanning holograms of real objects to binary Fourier holograms using an iterative direct binary search algorithm. , 2015, Optics express.

[14]  Shuming Jiao,et al.  Embedding intensity image into a binary hologram with strong noise resistant capability , 2017 .

[15]  Teruo Shimomura,et al.  Iterative stepwise binarization of digital amplitude holograms with added energy to the signal window , 2001 .

[16]  Man Zhang,et al.  Non-iterative phase-only Fourier hologram generation with high image quality. , 2017, Optics express.

[17]  P. W. M. Tsang,et al.  Novel method for converting digital Fresnel hologram to phase-only hologram based on bidirectional error diffusion. , 2013, Optics express.

[18]  Peter Tsang,et al.  Computer generation of binary Fresnel holography. , 2011, Applied optics.

[19]  R Eschbach,et al.  Comparison of error diffusion methods for computer-generated holograms. , 1991, Applied optics.

[20]  Xia Li,et al.  Enhanced Autofocusing in Optical Scanning Holography Based on Hologram Decomposition , 2017, IEEE Transactions on Industrial Informatics.

[21]  Tomoyoshi Shimobaba,et al.  Lensless zoomable holographic projection using scaled Fresnel diffraction. , 2013, Optics express.

[22]  Xia Li,et al.  Review on Optical Image Hiding and Watermarking Techniques , 2018, Optics & Laser Technology.

[23]  Hsuan T. Chang,et al.  3-D modified Gerchberg-Saxton algorithm developed for panoramic computer-generated phase-only holographic display , 2017 .

[24]  Qiaofeng Tan,et al.  Holographic projection with higher image quality. , 2016, Optics express.

[25]  Yasuhiro Takaki,et al.  Improvement of gray-scale representation of horizontally scanning holographic display using error diffusion. , 2014, Optics letters.

[26]  Frank Wyrowski,et al.  Coding and binarization in digital Fresnel holography , 1990 .

[27]  Shuming Jiao,et al.  Fast computer generated hologram calculation with a mini look-up table incorporated with radial symmetric interpolation. , 2017, Optics express.

[28]  Peter Wai Ming Tsang A comparison of several methods for generation of binary holograms of three dimensional (3D) scenes , 2012 .

[29]  Liangcai Cao,et al.  Progress in virtual reality and augmented reality based on holographic display. , 2018, Applied optics.

[30]  Herwig Unger,et al.  Advanced Distributed Systems: 5th International School and Symposium, ISSADS 2005, Guadalajara, Mexico, January 24-28, 2005, Revised Selected Papers , 2005, ISSADS.

[31]  Edward Buckley,et al.  Holographic Laser Projection , 2011, Journal of Display Technology.

[32]  Habib Hamam,et al.  Segmented phase-only filter binarized with a new error diffusion approach , 2005 .

[33]  Gareth Jones,et al.  AN INTRODUCTION TO GENETIC ALGORITHMS AND TO THEIR USE IN INFORMATION RETRIEVAL , 1994 .

[34]  P W M Tsang,et al.  Fast conversion of digital Fresnel hologram to phase-only hologram based on localized error diffusion and redistribution. , 2014, Optics express.

[35]  E Buckley Real-Time Error Diffusion for Signal-to-Noise Ratio Improvement in a Holographic Projection System , 2011, Journal of Display Technology.

[36]  Shuming Jiao,et al.  Comparison of binary hologram generation methods: Sampling on the object image scene and error diffusion method on the hologram plane , 2013, 2013 IEEE International Conference of IEEE Region 10 (TENCON 2013).

[37]  Ting-Chung Poon,et al.  Nonlinearity compensation and complex-to-phase conversion of complex incoherent digital holograms for optical reconstruction. , 2016, Optics express.

[38]  Frank Wyrowski,et al.  Digital phase holograms: Coding and quantization with an error diffusion concept , 1989 .

[39]  Myung K. Kim,et al.  Digital Holographic Microscopy , 2007 .