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On optimal, minimal BRDF sampling for reflectance acquisition

Published: 02 November 2015 Publication History

Abstract

The bidirectional reflectance distribution function (BRDF) is critical for rendering, and accurate material representation requires data-driven reflectance models. However, isotropic BRDFs are 3D functions, and measuring the reflectance of a flat sample can require a million incident and outgoing direction pairs, making the use of measured BRDFs impractical. In this paper, we address the problem of reconstructing a measured BRDF from a limited number of samples. We present a novel mapping of the BRDF space, allowing for extraction of descriptive principal components from measured databases, such as the MERL BRDF database. We optimize for the best sampling directions, and explicitly provide the optimal set of incident and outgoing directions in the Rusinkiewicz parameterization for n = {1, 2, 5, 10, 20} samples. Based on the principal components, we describe a method for accurately reconstructing BRDF data from these limited sets of samples. We validate our results on the MERL BRDF database, including favorable comparisons to previous sets of industry-standard sampling directions, as well as with BRDF measurements of new flat material samples acquired with a gantry system. As an extension, we also demonstrate how this method can be used to find optimal sampling directions when imaging a sphere of a homogeneous material; in this case, only two images are often adequate for high accuracy.

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References

[1]
Aittala, M., Weyrich, T., and Lehtinen, J. 2013. Practical SVBRDF capture in the frequency domain. ACM Transactions on Graphics (TOG) 32, 4, 110.
[2]
Blanz, V., Mehl, A., Vetter, T., and Peter Seidel, H. 2004. A Statistical Method for Robust 3D Surface Reconstruction from Sparse Data. In 3D Data Processing Visualization and Transmission, 293--300.
[3]
Blinn, J. F. 1977. Models of light reflection for computer synthesized pictures. In SIGGRAPH 77, 192--198.
[4]
Brady, A., Lawrence, J., Peers, P., and Weimer, W. 2014. genBRDF: discovering new analytic BRDFs with genetic programming. ACM Transactions on Graphics (TOG) 33, 4, 114.
[5]
Burley, B. 2012. Physically based shading at Disney. In Practical physically-based shading in film and game production, S. Hill and S. McAuley, Eds., ACM SIGGRAPH Courses. Article 10.
[6]
Cook, R. L., and Torrance, K. E. 1982. A reflectance model for computer graphics. ACM Transactions on Graphics (TOG) 1, 1, 7--24.
[7]
Dana, K. J., and Wang, J. 2004. Device for convenient measurement of spatially varying bidirectional reflectance. J. Opt. Soc. Am. A 21, 1, 1--12.
[8]
Debevec, P. 1998. Rendering synthetic objects into real scenes: Bridging traditional and image-based graphics with global illumination and high dynamic range photography. In SIGGRAPH 98, 189--198.
[9]
Foo, S. C. 1997. A gonioreflectometer for measuring the bidirectional reflectance of material for use in illumination computation. Master's thesis, Cornell University.
[10]
Fuchs, M., Blanz, V., Lensch, H. P., and Seidel, H.-P. 2007. Adaptive sampling of reflectance fields. ACM Transactions on Graphics (TOG) 26, 2, 10.
[11]
Ghosh, A., Achutha, S., Heidrich, W., and O'Toole, M. 2007. BRDF acquisition with basis illumination. In International Conference on Computer Vision, 1--8.
[12]
Hertzmann, A., and Seitz, S. M. 2003. Shape and materials by example: A photometric stereo approach. In Computer Vision and Pattern Recognition, vol. 1, IEEE, 533.
[13]
Hullin, M. B., Hanika, J., Ajdin, B., Seidel, H.-P., Kautz, J., and Lensch, H. 2010. Acquisition and analysis of bispectral bidirectional reflectance and reradiation distribution functions. ACM Transactions on Graphics (TOG) 29, 4, 97.
[14]
Hunter, R. S., and Judd, D. B. 1939. Development of a method of classifying paints according to gloss. ASTM Bulletin, 97, 11--18.
[15]
Hunter, R. S. 1987. The measurement of appearance. John Wiley & Sons.
[16]
Ipsen, I. C. F., and Wentworth, T. 2014. The effect of coherence on sampling from matrices with orthonormal columns, and preconditioned least squares problems. SIAM J. Matrix Analysis Applications 35, 4, 1490--1520.
[17]
Lafortune, E., Foo, S., Torrance, K., and Greenberg, D. 1997. Non-Linear Approximation of Reflectance Functions. In SIGGRAPH 97, 117--126.
[18]
Lensch, H. P. A., Lang, J., S, A. M., and Peter Seidel, H. 2003. Planned sampling of spatially varying BRDFs. Computer Graphics Forum 22, 3, 473--482.
[19]
Löw, J., Kronander, J., Ynnerman, A., and Unger, J. 2012. BRDF models for accurate and efficient rendering of glossy surfaces. ACM Transactions on Graphics (TOG) 31, 1, 9.
[20]
Marschner, S., Westin, S., Lafortune, E., Torrance, K., and Greenberg, D. 2000. Image-Based BRDF Measurement including Human Skin. In Eurographics Rendering Workshop, 139--152.
[21]
Matusik, W., Pfister, H., Brand, M., and McMillan, L. 2003. A data-driven reflectance model. In ACM Transactions on Graphics (TOG), 759--769.
[22]
Matusik, W., Pfister, H., Brand, M., and McMillan, L. 2003. Efficient isotropic BRDF measurement. In Eurographics Rendering Workshop, 241--247.
[23]
Ngan, A., Durand, F., and Matusik, W. 2005. Experimental analysis of BRDF models. In Eurographics Symposium on Rendering, 117--126.
[24]
Ngan, A., Durand, F., and Matusik, W. 2006. Image-driven navigation of analytical BRDF models. In Eurographics Symposium on Rendering, 399--407.
[25]
Nicodemus, F. E., Richmond, J. C., Hsia, J. J., Ginsberg, I. W., and Limperis, T. 1977. Geometric Considerations and Nomenclature for Reflectance (NBS Monograph 160). National Bureau of Standards (US).
[26]
Noll, T., Stricker, D., Kohler, J., and Reis, G. 2013. A full-spherical device for simultaneous geometry and reflectance acquisition. In Proceedings of the on Applications of Computer Vision, IEEE Computer Society, WACV, 355--362.
[27]
Phong, B. T. 1975. Illumination for computer generated pictures. Communications of the ACM 18, 6, 311--317.
[28]
Ren, P., Wang, J., Snyder, J., Tong, X., and Guo, B. 2011. Pocket reflectometry. ACM Transactions on Graphics (TOG) 30, 4, 45.
[29]
Romeiro, F., and Zickler, T. 2010. Blind reflectometry. In European Conference on Computer Vision. 45--58.
[30]
Romeiro, F., Vasilyev, Y., and Zickler, T. 2008. Passive reflectometry. In European Conf. on Computer Vision, 859--872.
[31]
Rusinkiewicz, S. 1998. A new change of variables for efficient BRDF representation. In Eurographics Rendering Workshop, 11--22.
[32]
Schwartz, C., Sarlette, R., Weinmann, M., Rump, M., and Klein, R. 2014. Design and implementation of practical btf measurement devices focusing on the developments at the university of Bonn. Sensors 14, 5, 7753--7819.
[33]
Tibshirani, R. 1996. Regression shrinkage and selection via the lasso. Journal of the Royal Statistical Society. Series B (Methodological) 58, 267--288.
[34]
Torrance, K. E., and Sparrow, E. M. 1967. Theory for off-specular reflection from roughened surfaces. JOSA 57, 9, 1105--1112.
[35]
Tunwattanapong, B., Fyffe, G., Graham, P., Busch, J., Yu, X., Ghosh, A., and Debevec, P. 2013. Acquiring reflectance and shape from continuous spherical harmonic illumination. ACM Transactions on Graphics (TOG) 32, 4, 1--12.
[36]
Ward, G. J. 1992. Measuring and modeling anisotropic reflection. In SIGGRAPH 92, 265--272.
[37]
Westlund, H. B., and Meyer, G. W. 2001. Applying appearance standards to light reflection models. In SIGGRAPH 01, 501--510.
[38]
Weyrich, T., Matusik, W., Pfister, H., Bickel, B., Donner, C., Tu, C., McAndless, J., Lee, J., Ngan, A., Jensen, H. W., and Gross, M. 2006. Analysis of human faces using a measurement-based skin reflectance model. ACM Transactions on Graphics (TOG) 25, 3, 1013--1024.
[39]
White, D., Saunders, P., Bonsey, S. J., van de Ven, J., and Edgar, H. 1998. Reflectometer for measuring the bidirectional reflectance of rough surfaces. Applied optics 37, 16, 3450--3454.

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      cover image ACM Transactions on Graphics
      ACM Transactions on Graphics  Volume 34, Issue 6
      November 2015
      944 pages
      ISSN:0730-0301
      EISSN:1557-7368
      DOI:10.1145/2816795
      Issue’s Table of Contents
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      Publication History

      Published: 02 November 2015
      Published in TOG Volume 34, Issue 6

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      Author Tags

      1. BRDF
      2. MERL
      3. reconstruction
      4. reflectance

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