Fast precalculated triangular mesh algorithm for 3D binary computer-generated holograms.

A new method for constructing computer-generated holograms using a precalculated triangular mesh is presented. The speed of calculation can be increased dramatically by exploiting both the precalculated base triangle and GPU parallel computing. Unlike algorithms using point-based sources, this method can reconstruct a more vivid 3D object instead of a "hollow image." In addition, there is no need to do a fast Fourier transform for each 3D element every time. A ferroelectric liquid crystal spatial light modulator is used to display the binary hologram within our experiment and the hologram of a base right triangle is produced by utilizing just a one-step Fourier transform in the 2D case, which can be expanded to the 3D case by multiplying by a suitable Fresnel phase plane. All 3D holograms generated in this paper are based on Fresnel propagation; thus, the Fresnel plane is treated as a vital element in producing the hologram. A GeForce GTX 770 graphics card with 2 GB memory is used to achieve parallel computing.

[1]  Andrea Sanna,et al.  A Streaming-Based Solution for Remote Visualization of 3D Graphics on Mobile Devices , 2007, IEEE Transactions on Visualization and Computer Graphics.

[2]  H J Tiziani,et al.  Optical particle trapping with computer-generated holograms written on a liquid-crystal display. , 1999, Optics letters.

[3]  Rick H-Y Chen,et al.  Computer generated hologram with geometric occlusion using GPU-accelerated depth buffer rasterization for three-dimensional display. , 2009, Applied optics.

[4]  Quinn Smithwick,et al.  Rapid hologram generation utilizing layer-based approach and graphic rendering for realistic three-dimensional image reconstruction by angular tiling , 2014, J. Electronic Imaging.

[5]  Hakan Urey,et al.  State of the Art in Stereoscopic and Autostereoscopic Displays , 2011, Proceedings of the IEEE.

[6]  D. O’brien,et al.  Dynamic asymmetric binary holograms using a ferroelectric liquid crystal spatial light modulator , 1994 .

[7]  Neil A. Dodgson,et al.  Autostereoscopic 3D displays , 2005, Computer.

[8]  Joseph J. LaViola.  Bringing VR and Spatial 3D Interaction to the Masses through Video Games , 2008, IEEE Computer Graphics and Applications.

[9]  Christophe Schlick,et al.  A Survey of Shading and Reflectance Models , 1994, Comput. Graph. Forum.

[10]  T. Sonehara,et al.  Kinoform using an electrically controlled birefringent liquid-crystal spatial light modulator. , 1991, Applied optics.

[11]  Yi-Pai Huang,et al.  Enhancing the Brightness of Parallax Barrier Based 3D Flat Panel Mobile Displays Without Compromising Power Consumption , 2010, Journal of Display Technology.

[12]  Hirotaka Nakayama,et al.  Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane methods for three-dimensional display. , 2010, Optics express.

[13]  Bahram Javidi,et al.  Three-dimensional volumetric object reconstruction using computational integral imaging. , 2004, Optics express.

[14]  Kyoji Matsushima,et al.  Extremely high-definition full-parallax computer-generated hologram created by the polygon-based method. , 2009, Applied optics.

[15]  J. Goodman.  Introduction to Fourier optics , 1969 .

[16]  Graham John Woodgate,et al.  A prototype 3D mobile phone equipped with a next-generation autostereoscopic display , 2007, Electronic Imaging.

[17]  Jason Sanders,et al.  CUDA by example: an introduction to general purpose GPU programming , 2010 .

[18]  L. B. Lesem,et al.  The kinoform: a new wavefront reconstruction device , 1969 .

[19]  Rick H-Y Chen,et al.  Computer generated hologram from point cloud using graphics processor. , 2009, Applied optics.

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

[21]  Liang Zhang,et al.  Stereoscopic image generation based on depth images for 3D TV , 2005, IEEE Transactions on Broadcasting.

[22]  I. Khoo,et al.  Holographic grating formation in dye- or fullerene-C 60 -doped liquid crystals , 1995 .