research-article

Toward BxDF display using multilayer diffraction

Authors:

V. Michael Bove, Jr.,

Gordon WetzsteinAuthors Info & Claims

ACM Transactions on Graphics (TOG), Volume 33, Issue 6

Article No.: 191, Pages 1 - 14

https://doi.org/10.1145/2661229.2661246

Published: 19 November 2014 Publication History

Abstract

With a wide range of applications in product design and optical watermarking, computational BxDF display has become an emerging trend in the graphics community. In this paper, we analyze the design space of BxDF displays and show that existing approaches cannot reproduce arbitrary BxDFs. In particular, existing surface-based fabrication techniques are often limited to generating only specific angular frequencies, angle-shift-invariant radiance distributions, and sometimes only symmetric BxDFs. To overcome these limitations, we propose diffractive multilayer BxDF displays. We derive forward and inverse methods to synthesize patterns that are printed on stacked, high-resolution transparencies and reproduce prescribed BxDFs with unprecedented degrees of freedom within the limits of available fabrication techniques.

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References

[1]

Alferness, R. 1975. Analysis of optical propagation in thick holographic gratings. App. Phys. A.

[2]

Baran, I., Keller, P., Bradley, D., Coros, S., Jarosz, W., Nowrouzezahrai, D., and Gross, M. 2012. Manufacturing layered attenuators for multiple prescribed shadow images. Computer Graphics Forum (Proc. EG) 31, 2, 603--610.

Digital Library

[3]

Barbastathis, G. 2000. Volume holographic multiplexing methods. In Holographic Data Storage, H. Coufal, D. Psaltis, and G. Sincerbox, Eds. 21--62.

[4]

Bastiaans, M. 1997. Application of the Wigner distribution function in optics. The Wigner Distribution -- Theory and Applications in Signal Processing, 375--426.

[5]

Benton, S., and Bove, V. 2006. Holographic Imaging. John Wiley and Sons.

Digital Library

[6]

Borgsmüller, S., Noehte, S., Dietrich, C., Kresse, T., and Männer, R. 2003. Computer-generated stratified diffractive optical elements. OSA Appl. Opt. 42, 26, 5274--5283.

[7]

Brady, D., and Psaltis, D. 1992. Control of volume holograms. OSA JOSA A 9, 7, 1167--1182.

Digital Library

[8]

Cuypers, T., Haber, T., Bekaert, P., Oh, S. B., and Raskar, R. 2012. Reflectance model for diffraction. ACM Trans. Graph. 31, 5, 1--11.

Digital Library

[9]

Debevec, P., Hawkins, T., Tchou, C., Duiker, H.-P., Sarokin, W., and Sagar, M. 2000. Acquiring the reflectance field of a human face. In Proc. ACM SIGGRAPH '00, 145--156.

Digital Library

[10]

Denisyuk, Y. N. 1962. Photographic Reconstruction of the Optical Properties of an Object in Its Own Scattered Radiation Field. Soviet Physics Doklady 7 (Dec.), 543.

[11]

Dong, Y., Wang, J., Pellacini, F., Tong, X., and Guo, B. 2010. Fabricating spatially-varying subsurface scattering. ACM Trans. Graph. (Proc. SIGGRAPH) 29, 4, 62:1--62:10.

Digital Library

[12]

Dorsch, R. G., Lohmann, A. W., and Sinzinger, S. 1994. Fresnel Ping-Pong Algorithm for Two-Plane Computer-Generated Hologram Display. OSA Appl. Opt. 33, 5, 869--875.

Digital Library

[13]

Fienup, J. R. 1982. Phase retrieval algorithms: a comparison. OSA Appl. Opt. 21, 15, 2758--2769.

[14]

Fuchs, M., Raskar, R., Seidel, H.-P., and Lensch, H. P. A. 2008. Towards passive 6d reflectance field displays. ACM Trans. Graph. (SIGGRAPH) 27, 3, 58:1--58:8.

Digital Library

[15]

Gerke, T., and Piestun, R. 2010. Aperiodic volume optics. Nature Photonics 10.

[16]

Glasner, D., Zickler, T., and Levin, A. 2014. A Reflectance Display. ACM Trans. Graph. (SIGGRAPH) 33, 4.

Digital Library

[17]

Goodman, J. 2000. Statistical Optics. Wiley.

Digital Library

[18]

Gortler, S. J., Grzeszczuk, R., Szeliski, R., and Cohen, M. F. 1996. The Lumigraph. In Proc. ACM SIGGRAPH, 43--54.

Digital Library

[19]

Hašan, M., Fuchs, M., Matusik, W., Pfister, H., and Rusinkiewicz, S. 2010. Physical reproduction of materials with specified subsurface scattering. ACM Trans. Graph. (Proc. SIGGRAPH) 29, 4, 61:1--61:10.

Digital Library

[20]

Hullin, M. B., Lensch, H. P. A., Raskar, R., Seidel, H.-P., and Ihrke, I. 2011. Dynamic display of BRDFs. In Computer Graphics Forum (Proc. EG), 475--483.

[21]

Johnson, R. V., and Tanguay, Jr, A. R. 1988. Stratified volume holographic optical elements. OSA Opt. Lett. 13, 3, 189.

Digital Library

[22]

Kajiya, J. T. 1986. The rendering equation. In Proc. ACM SIGGRAPH, 143--150.

Digital Library

[23]

Kämpfe, T., Kley, E.-B., Tünnermann, A., and Dannberg, P. 2007. Design and fabrication of stacked, computer generated holograms for multicolor image generation. OSA Appl. Opt. 46, 22, 5482--5488.

[24]

Kirkpatrick, S., Jr., D. G., and Vecchi, M. P. 1983. Optimization by simmulated annealing. Science 220, 4598, 671--680.

Digital Library

[25]

Lan, Y., Dong, Y., Pellacini, F., and Tong, X. 2013. Bi-scale appearance fabrication. ACM Trans. Graph. (SIGGRAPH) 32, 4, 145:1--145:12.

Digital Library

[26]

Levin, A., Glasner, D., Xiong, Y., Durand, F., Freeman, W., Matusik, W., and Zickler, T. 2013. Fabricating BRDFs at High Spatial Resolution using Wave Optics. ACM Trans. Graph. (SIGGRAPH) 32, 4, 144:1--144:14.

Digital Library

[27]

Levoy, M., and Hanrahan, P. 1996. Light field rendering. In Proc. ACM SIGGRAPH.

Digital Library

[28]

Lucente, M., and Galyean, T. 1995. Rendering interactive holographic images. ACM Trans. Graph. (Proc. SIGGRAPH), 387--394.

Digital Library

[29]

Lucente, M. 1994. Diffraction-Specific Fringe Computation for Electro-Holography. PhD thesis, MIT.

Digital Library

[30]

Malzbender, T., Samadani, R., Scher, S., Crume, A., Dunn, D., and Davis, J. 2012. Printing reflectance functions. ACM Trans. Graph. 31, 3, 20:1--20:11.

Digital Library

[31]

Masia, B., Wetzstein, G., Didyk, P., and Gutierrez, D. 2013. A survey on computational displays: Pushing the boundaries of optics, computation, and perception. Computers & Graphics 37, 8, 1012--1038.

Digital Library

[32]

Matusik, W., Ajdin, B., Gu, J., Lawrence, J., Lensch, H. P. A., Pellacini, F., and Rusinkiewicz, S. 2009. Printing spatially-varying reflectance. ACM Trans. Graph. (Proc. SIGGRAPH Asia) 28, 5, 128:1--128:9.

Digital Library

[33]

Mok, F. 1993. Angle-mulitplexed storage of 5000 holograms in lithium niobate. OSA Opt. Lett. 18, 11, 915--917.

[34]

Nordin, G. P., Johnson, R. V., and Tanguay, Jr, A. R. 1992. Diffraction properties of stratified volume holographic optical elements. OSA JOSA A 9, 12, 2206.

[35]

Oh, S. B., and Barbastathis, G. 2009. Wigner distribution function of volume holograms. Opt. Lett. 34, 17, 2584--2586.

Digital Library

[36]

Oh, S. B., Kashyap, S., Garg, R., Chandran, S., and Raskar, R. 2010. Rendering Wave Effects with Augmented Light Field. In Computer Graphics Forum (Proc. EG), 507--516.

Digital Library

[37]

Papas, M., Jarosz, W., Jakob, W., Rusinkiewicz, S., Matusik, W., and Weyrich, T. 2011. Goal-based caustics. Computer Graphics Forum (Proc. EG) 30, 2 (Apr.).

[38]

Papas, M., Regg, C., Jarosz, W., Bickel, B., Jackson, P., Matusik, W., Marschner, S., and Gross, M. 2013. Fabricating translucent materials using continuous pigment mixtures. ACM Trans. Graph. (SIGGRAPH) 32, 4, 146:1--146:12.

Digital Library

[39]

Piestun, R., Spektor, B., and Shamir, J. 1996. Wave fields in three dimensions: analysis and synthesis. OSA JOSA A 13, 9, 1837--1848.

[40]

Plesniak, W. J., and Halle, M. 2005. Computed holograms and holographic video display of 3D data. SIGGRAPH Courses.

Digital Library

[41]

Rusinkiewicz, S. 1998. A new change of variables for efficient BRDF representation. In Proc. EGSR, 11--22.

Digital Library

[42]

Rusinkiewicz, S. M. 1998. A new change of variables for efficient brdf representation. In Proc. EGSR, 11--22.

[43]

Sloan, P.-P., Kautz, J., and Snyder, J. 2002. Precomputed radiance transfer for real-time rendering in dynamic, low-frequency lighting environments. ACM Trans. Graph. (SIGGRAPH) 21, 3, 527--536.

Digital Library

[44]

Testorf, M., Hennelly, B. M., and Ojeda-Castaneda, J. 2009. Phase Space Optics: Fundamentals and Applications. Mcgraw--Hill.

[45]

Walther, A. 1968. Radiometry and Coherence. OSA JOSA A 58, 9, 1256--1259.

[46]

Westin, S. H., Arvo, J. R., and Torrance, K. E. 1992. Predicting reflectance functions from complex surfaces. ACM SIGGRAPH 26, 2, 255--264.

Digital Library

[47]

Wetzstein, G., Lanman, D., Heidrich, W., and Raskar, R. 2011. Layered 3D: Tomographic image synthesis for attenuation-based light field and high dynamic range displays. ACM Trans. Graph. (SIGGRAPH) 30, 1--11.

Digital Library

[48]

Wetzstein, G., Lanman, D., Hirsch, M., and Raskar, R. 2012. Tensor Displays: Compressive Light Field Synthesis using Multilayer Displays with Directional Backlighting. ACM Trans. Graph. (SIGGRAPH) 31, 1--11.

Digital Library

[49]

Weyrich, T., Peers, P., Matusik, W., and Rusinkiewicz, S. 2009. Fabricating microgeometry for custom surface reflectance. ACM Trans. Graph. (Proc. SIGGRAPH) 28, 3.

Digital Library

[50]

Wigner, E. 1932. On the quantum correction for thermodynamic equilibrium. Phys. Rev. 40, 5 (Jun), 749--759.

[51]

Wolf, E. 1978. Coherence and Radiometry. OSA JOSA 68, 1, 6--17.

[52]

Zhang, Z., and Levoy, M. 2009. Wigner Distributions and How They Relate to the Light Field. Proc. IEEE ICCP.

Cited By

Toisoul ADhillon DGhosh A(2018)Acquiring spatially varying appearance of printed holographic surfacesACM Transactions on Graphics10.1145/3272127.327507737:6(1-16)Online publication date: 4-Dec-2018
https://dl.acm.org/doi/10.1145/3272127.3275077
Bonneel NKovacs BParis SBala K(2017)Intrinsic Decompositions for Image EditingComputer Graphics Forum10.5555/3128975.312902736:2(593-609)Online publication date: 1-May-2017
https://dl.acm.org/doi/10.5555/3128975.3129027
Peng YDun XSun QHeidrich W(2017)Mix-and-match holographyACM Transactions on Graphics10.1145/3130800.313083936:6(1-12)Online publication date: 20-Nov-2017
https://dl.acm.org/doi/10.1145/3130800.3130839
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Index Terms

Toward BxDF display using multilayer diffraction
1. Computing methodologies
  1. Computer graphics
    1. Image manipulation
    2. Rendering

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cover image ACM Transactions on Graphics

ACM Transactions on Graphics Volume 33, Issue 6

November 2014

704 pages

ISSN:0730-0301

EISSN:1557-7368

DOI:10.1145/2661229

Issue’s Table of Contents

Copyright © 2014 ACM.

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Publication History

Published: 19 November 2014

Published in TOG Volume 33, Issue 6

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National Natural Science Foundation of China
China Scholarship Council
Division of Information and Intelligent Systems
National Key Foundation for Exploring Scientific Instrument
Natural Sciences and Engineering Research Council of Canada
Massachusetts Institute of Technology

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Cited By

Toisoul ADhillon DGhosh A(2018)Acquiring spatially varying appearance of printed holographic surfacesACM Transactions on Graphics10.1145/3272127.327507737:6(1-16)Online publication date: 4-Dec-2018
https://dl.acm.org/doi/10.1145/3272127.3275077
Bonneel NKovacs BParis SBala K(2017)Intrinsic Decompositions for Image EditingComputer Graphics Forum10.5555/3128975.312902736:2(593-609)Online publication date: 1-May-2017
https://dl.acm.org/doi/10.5555/3128975.3129027
Peng YDun XSun QHeidrich W(2017)Mix-and-match holographyACM Transactions on Graphics10.1145/3130800.313083936:6(1-12)Online publication date: 20-Nov-2017
https://dl.acm.org/doi/10.1145/3130800.3130839
Shi LHuang FLopes WMatusik WLuebke D(2017)Near-eye light field holographic rendering with spherical waves for wide field of view interactive 3D computer graphicsACM Transactions on Graphics10.1145/3130800.313083236:6(1-17)Online publication date: 20-Nov-2017
https://dl.acm.org/doi/10.1145/3130800.3130832
Pereira TLeme CMarschner SRusinkiewicz S(2017)Printing anisotropic appearance with magnetic flakesACM Transactions on Graphics10.1145/3072959.307370136:4(1-10)Online publication date: 20-Jul-2017
https://dl.acm.org/doi/10.1145/3072959.3073701
Toisoul AGhosh A(2017)Practical Acquisition and Rendering of Diffraction Effects in Surface ReflectanceACM Transactions on Graphics10.1145/3072959.301200136:4(1)Online publication date: 25-Jul-2017
https://dl.acm.org/doi/10.1145/3072959.3012001
Toisoul AGhosh A(2017)Practical Acquisition and Rendering of Diffraction Effects in Surface ReflectanceACM Transactions on Graphics10.1145/301200136:5(1-16)Online publication date: 25-Jul-2017
https://dl.acm.org/doi/10.1145/3012001
Peng YFu QHeide FHeidrich W(2016)The diffractive achromat full spectrum computational imaging with diffractive opticsACM Transactions on Graphics10.1145/2897824.292594135:4(1-11)Online publication date: 11-Jul-2016
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Gerdes A(2016)The issue of moral consideration in robot ethicsACM SIGCAS Computers and Society10.1145/2874239.287427845:3(274-279)Online publication date: 5-Jan-2016
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