FIT27( 第 6 回情報科学技術フォーラム ) Target images i Φ b a Target images i Φ a b Target images i Φ b a Target images i Φ a b b b N a a N b b b b αn a a a a αn I
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1 FIT27( 第 6 回情報科学技術フォーラム ) CI-2 Light Field Display Benefits of Using High Resolution Layers for Multi-Layer Light Field Display Yuto KOBAYSHI Keita TAKAHASHI Toshiaki FUJII Light field display 3 [][2][3][4] [5][6][7][8][9] = [][][2][3][4][5] Fig. [6][7] [8] 2 a(s) Backlight s b(u) u l(s, u) I k (n) (i) Conventional multi-layer display. Backlight s u α α m= l(s + m, u + m) I k (n) (ii) High resolution multi-layer display. Fig. : Light field parametrization for a display. Light field display 2 Light field display light field Light field Fig. -(i) s u 3 Copyright 27 by Information Processing Society of Japan and
2 FIT27( 第 6 回情報科学技術フォーラム ) Target images i Φ b a Target images i Φ a b Target images i Φ b a Target images i Φ a b b b N a a N b b b b αn a a a a αn I I (i) Conventional (α = ) (ii) High resolution layers Fig. 2: Illustrations of Φ b and Φ a in the Eq. 4, Eq 5. l(s,u) l(s,u) = a(s)b(u)l () a(s) s b(u) u L I k (n) l(s,u) I k (n) l(s,u), k = s u, n = u (2) I k (n) k n I k (n) i R I a R N b R N I N i a b arg min i ϕ(a, b)l 2 (3) a,b ϕ( ) Eq. () Eq. (2) a b i a b Eq. (3) i ϕ(a, b)l a b L i L [][] 2. 2 a b a b b a Eq. (3) arg min i Φ b a 2 (4) a arg min i Φ a b 2 (5) b Eq. (4) Eq. (5) Fig. 2 Φ b R I N a b Φ a R I N Eq. (4) Eq. (5) ( a h a ΦT b i ) Φ T b Φ (6) ba ( ) b h b ΦT a i Φ T (7) a Φ a b ε (x < ε) h(x) = x (ε x ) (8) ( < x) h(x) Eq. (6) Eq. (7) a b 4 Copyright 27 by Information Processing Society of Japan and
3 FIT27( 第 6 回情報科学技術フォーラム ) 2.2 α Eq. (2) I k (n) α α m= l(s + m,u + m), k = s u, αn = u (9) Fig. -(ii) ϕ( ) Φ a Φ b ϕ( ) a b α α Φ b α b Φ a Fig. 2-(ii) Light field display light field display Fig. 3 [9] The Stanford Bunny α α Fig. 4 [][][6] Range of view (i) Conventional multi-layer display. Range of view (ii) Twice resolution as much as (i). Fig. 3: Relationship between angular resolution and display views. 2 Fig α = α α Fig. 5 d α d = 2α Fig. 6 α = α = 6 5 Copyright 27 by Information Processing Society of Japan and
4 FIT27( 第 6 回情報科学技術フォーラム ) h(x) h(x) h(x) α = α = 2 α = 3 α = 6 Fig. 4: Display views used for the all experiments. /2pitch Nyquist frequency for the pixel of the image α = 4 α = 3 α = 2 α = Depth of object plane x x iteration ~ ~5 5(convergence) Fig. 7: Illustrations of the threshold function h(x). (number of intensity level is 3.) α = α = 2 α = 6 α = 3 x Fig. 5: Upper bound for spatial frequency depending on depth Number of intensity levels Fig. 8: Quality of displayed images with different resolutions and number of intensity levels. (i) α = (ii) α = 6 Fig. 6: Simulated images with different resolutions. 3.2 = 2 α α 2 α 2 Eq. (6) Eq. (8) h(x) 3 h(x) Fig. 7 α [9] The Stanford Bunny Fig. 4 α Fig. 8 α = α α = 6 2. or. α = Copyright 27 by Information Processing Society of Japan and
5 FIT27( 第 6 回情報科学技術フォーラム ) space space space space s s Close-ups of front layers Displayed images Fig. 9: Display simulation with different number of intensity levels. 3 α = 3 α = 6 α = 2 28 α = 26 Conventional Total bits of display Fig. : Quality of displayed images and total bits of display. Horizontal axis is normalized by the number of pixels of the displayed image (52 52). Fig Fig. 8 Fig. ssssssssssssssss = log 2 ( ) () α = 256 α = α α 2 7 Copyright 27 by Information Processing Society of Japan and
6 FIT27( 第 6 回情報科学技術フォーラム ) 5 [] F. E. Ives: Parallax stereogram and process of making same, U.S. Patent US72556A, 93. [2] H. Isono, M. Yasuda, and H Sasazawa, Autostereoscopic 3-D LCD display using LCD-generated parallax barrier, Japan Display, pp , 992. [3] K. Sakamoto and T. Morii, Multiview 3D display using parallax barrier combined with polarizer, Proc. SPIE, vol. 6399, 26. [4] T. Peterka, R. L. Kooima, D. J. Sandin, A. Johnson, J. Leigh, and T. A. DeFanti, Advances in the dynallax solid-state dynamic parallax barrier autostereoscopic visualization display system, IEEE Trans. on Visualization and Computer Graphics, vol. 4, no. 3, pp , 28. [5] G. Lippmann: Epreuves reversibles donnant la sensation du relief, Journal of Physics, vol. 7, no. 4, pp , 98. [6] T. Okoshi, Three-Dimensional Imaging Techniques, Academic Press, 976. [7] R. Borner, Autostereoscopic 3D-imaging by front and rear projection and on flat panel displays, Elsevier Displays, vol. 4, no., pp , 993. [8] M. McCormick, Integral 3D imaging for broadcast, Int. Display Workshop, vol. 4, no., pp , 993. [9] J. Arai, F. Okano, M. Kawakita, M. Okui, Y. Hanio, M. Yoshimura, M. Furuya, and M. Sato, Integral three dimensional television using a 33-megapixel imaging system, Journal of Display Technology, vol. 6, no., pp , 2. [] G. Wetzstein, D. Lanman, W. Heidrich, R. Raskar: Layered 3D: Tomographic Image Synthesis for Attenuation-based Light Field and High Dynamic Range Displays, SIGGRAPH 2 papers, no. 95, 2. [] G. Wetzstein, D. Lanman, M. Hirsch, R. Raskar: Tensor Displays: Compressive Light Field Synthesis using Multilayer Displays with Directional Backlighting, SIGGRAPH 22 papers, no. 8, 22. [2] D. Lanman, G. Wetzstein, M. Hirsch, W. Heidrich, R. Raskar: Polarization Fields: Dynamic Light Field Display using Multi-Layer LCDs, SIGGRAPH Asia 2 papers, no. 86, 2. [3] M. Hirsch, G. Wetzstein, R. Raskar, A Compressive Light Field Projection System, ACM Proc. of SIG- GRAPH (Transactions on Graphics 33, 4), 24. [4] L. Seungjae et al. Additive light field displays: realization of augmented reality with holographic optical elements, SIGGRAPH 26. vol. 35. issue 4. no. 6. [5] F. Huang, K. Chen, G. Wetzstein, The Light Field Stereoscope: Immersive Computer Graphics via Factored Near-Eye Light Field Displays with Focus Cues, ACM SIGGRAPH (Transactions on Graphics 33, 5), 25. [6] T. Saito, Y. Kobayashi, K. Takahashi, T. Fujii: Displaying Real-World Light-Fields with Stacked Multiplicative Layers: Requirement and Data Conversion for Input Multi-view Images, OSA/IEEE Journal of Display Technology, vol. 2, no., pp.29 3, 26. [7] K. Takahashi, Y. Kobayashi, T. Fujii: Displaying Real World Light Fields Using Stacked LCDs, International Display Workshops in conjunction with Asia Display 26, DES4/3D8, Invited talk, 26. [8] M. Hirsch, D. Leithinger, T. Baran, Lumii: DIY light field prints, In ACM SIGGRAPH 26 Studio (SIGGRAPH 6), Article no. 3, 26. [9] The (new) stanford light field archive, 8 Copyright 27 by Information Processing Society of Japan and
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