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27 cvpr-2013-A Theory of Refractive Photo-Light-Path Triangulation


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Author: Visesh Chari, Peter Sturm

Abstract: 3D reconstruction of transparent refractive objects like a plastic bottle is challenging: they lack appearance related visual cues and merely reflect and refract light from the surrounding environment. Amongst several approaches to reconstruct such objects, the seminal work of Light-Path triangulation [17] is highly popular because of its general applicability and analysis of minimal scenarios. A lightpath is defined as the piece-wise linear path taken by a ray of light as it passes from source, through the object and into the camera. Transparent refractive objects not only affect the geometric configuration of light-paths but also their radiometric properties. In this paper, we describe a method that combines both geometric and radiometric information to do reconstruction. We show two major consequences of the addition of radiometric cues to the light-path setup. Firstly, we extend the case of scenarios in which reconstruction is plausible while reducing the minimal re- quirements for a unique reconstruction. This happens as a consequence of the fact that radiometric cues add an additional known variable to the already existing system of equations. Secondly, we present a simple algorithm for reconstruction, owing to the nature of the radiometric cue. We present several synthetic experiments to validate our theories, and show high quality reconstructions in challenging scenarios.


reference text

[1] Photo-Light-Path Triangulation: Supplementary Material. http://www.di.ens.fr/chari/webpage/Research/phototechreport. 3, 4, 5

[2] D.G. Aliaga and Y. Xu. An adaptive correspondence algorithm for modeling scenes with strong interreflections. IEEE Transactions on Visualization and Computer Graphics, 15:465–480, 2009. 4, 6

[3] D.G. Aliaga and Y. Xu. A self-calibrating method for photogeometric acquisition of 3D objects. IEEE–PAMI, 32:747– 754, 2009. 5

[4] M. Ben-Ezra and S. Nayar. What Does Motion Reveal about Transparency? ICCV, 2:1025–1032, 2003. 2

[5] T. Chen, M. Goesele, and H.-P. Seidel. Mesostructure from specularity. CVPR, 2:1825–1832, 2006. 1

[6] A. Efros, V. Isler, J. Shi, and M. Visontai. Seeing through

[7]

[8]

[9]

[10]

[11]

[12]

[13]

[14]

[15]

[16]

[17] water. NIPS, 2004. 2 E. Hecht. Optics - 4th edition. Addison Wesley, 2002. M.B. Hullin, M. Fuchs, I. Ihrke, H.-P. Seidel, and H.P.A. Lensch. Fluorescent immersion range scanning. SIGGRAPH, 2008. 1, 2 C.P. Huynh, A. Robles-Kelly, and E.R. Hancock. Shape and refractive index recovery from single-view polarisation images. CVPR, 1229–1236, 2010. 2 I. Ihrke, K. N. Kutulakos, Hendrik P. A. Lensch, Marcus. A. Magnor, Wolfgang Heidrich. Transparent and Specular Object Reconsruction. Computer Graphics Forum, 2400– 2426, 2010. 1 D. Miyazaki and K. Ikeuchi. Shape estimation of transparent objects by using inverse polarization ray tracing. IEEE– PAMI, 29(1 1):2018–2030, 2007. 1, 2 D. Miyazaki, M. Kagesawa, and K. Ikeuchi. Transparent surface modeling by using a pair of polarization images. IEEE– PAMI, 26(1):73–82, 2004. 1 N. Morris and K. Kutulakos. Reconstructing the surface of inhomogeneous transparent scenes by scatter-trace photography. ICCV, 2007. 1, 2, 7 N. Morris and K. Kutulakos. Dynamic refraction stereo. IEEE–PAMI, 33(8): 1518–1531, 2011. 1 S.K. Nayar, G. Krishnan, M.D. Grossberg, and R. Raskar. Fast separation of direct and global components of a scene using high frequency illumination. SIGGRAPH, 2006. 6, 7, 8 M. Oren and S.K. Nayar. A theory of specular surface geometry. IJCV, 24(2):105–124, 1997. E. Steger and K. Kutulakos. A theory ofrefractive and specular 3D shape by light-path triangulation. IJCV, 76(1): 13–29,

[18]

[19]

[20]

[21] 2008. 1, 2, 3, 4, 5, 7 P. Sturm. Algorithms for plane based pose estimation. CVPR, 706–71 1, 2000. 5, 7 Y. Tian and S. Narasimhan. Seeing through water: Image restoration using model-based tracking. ICCV, 2303–23 10, 2009. 2 S.-K. Yeung, T.-P. Wu, C.-K. Tang, T.F. Chan, and S. Osher. Adequate reconstruction of transparent objects on a shoestring budget. CVPR, 2011. 1, 2 G. Wetzstein, G. Roodnick, W. Heidrich and R. Raskar. Refractive Shape from Light Field Distortion. ICCV, 2011. 2 111444444533