Abstract
This paper presents a theory that encompasses both “plenoptic” (microlens based) and “heterodyning” (mask based) cameras in a single frequency-domain mathematical formalism. Light-field capture has traditionally been analyzed using spatio-angular representation, with the exception of the frequency-domain “heterodyning” work. In this paper we interpret “heterodyning” as a general theory of multiplexing the radiance in the frequency domain. Using this interpretation, we derive a mathematical theory of recovering the 4D spatial and angular information from the multiplexed 2D frequency representation. The resulting method is applicable to all lightfield cameras, lens-based and mask-based. The generality of our approach suggests new designs for lightfield cameras. We present one such novel lightfield camera, based on a mask outside a conventional camera. Experimental results are presented for all cameras described.
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References
Guillemin, V., Sternberg, S.: Symplectic techniques in physics (1985)
Ives, F.: Patent US 725,567 (1903)
Lippmann, G.: Epreuves reversible donnant la sensation du relief. J. Phys. 7, 821–825 (1908)
Levoy, M., Hanrahan, P.: Light field rendering. ACM Trans. Graph, 31–42 (1996)
Gortler, S.J., Grzeszczuk, R., Szeliski, R., Cohen, M.F.: The lumigraph. ACM Trans. Graph, 43–54 (1996)
Ng, R., Levoy, M., Brdif, M., Duval, G., Horowitz, M., Hanrahan, P.: Light field photography with a hand-held plenoptic camera. Tech. Rep. (2005)
Chai, J., Chan, S., Shum, H., Tong, X.: Plenoptic sampling. ACM Trans. Graph, 307–318 (2000)
Durand, F., Holzschuch, N., Soler, C., Chan, E., Sillion, F.: A frequency analysis of light transport. ACM Trans. Graph, 1115–1126 (2005)
Ng, R.: Fourier slice photography. ACM Trans. Graph, 735–744 (2005)
Veeraraghavan, A., Mohan, A., Agrawal, A., Raskar, R., Tumblin, J.: Dappled photography: Mask enhanced cameras for heterodyned light fields and coded aperture refocusing. ACM Trans. Graph 26(3), 69 (2007)
Gerrard, A., Burch, J.M.: Introduction to matrix methods in optics (1994)
Georgiev, T., Zheng, K.C., Curless, B., Salesin, D., Nayar, S., Intwala, C.: Spatio-angular resolution tradeoffs in integral photography. In: Rendering Techniques 2006: 17th Eurographics Workshop on Rendering, pp. 263–272 (June 2006)
Oppenheim, A.V., Willsky, A.S.: Signals and Systems. Prentice Hall, Upper Saddle River, New Jersey (1997)
Adelson, T., Wang, J.: Single lens stereo with a plenoptic camera. IEEE Transactions on Pattern Analysis and Machine Intelligence, 99–106 (1992)
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© 2008 Springer-Verlag Berlin Heidelberg
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Georgiev, T., Intwala, C., Babakan, S., Lumsdaine, A. (2008). Unified Frequency Domain Analysis of Lightfield Cameras. In: Forsyth, D., Torr, P., Zisserman, A. (eds) Computer Vision – ECCV 2008. ECCV 2008. Lecture Notes in Computer Science, vol 5304. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88690-7_17
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DOI: https://doi.org/10.1007/978-3-540-88690-7_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88689-1
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