Abstract
We describe two homomorphic signature schemes for digital photographs such that an intermediate party in possession of a signed photograph can construct a scaled, cropped, and lossily compressed version of the photograph along with a new, valid signature, without knowing the private signing key. In other words, our signature schemes are simultaneously homomorphic with respect to cropping, scaling, and JPEG-like compression. Unlike prior ad-hoc schemes for photographic signatures, our first scheme is provably secure and quite practical. For example, a scaling-homomorphic signature scheme using our techniques requires less than 100KB of signature data for typical digital photographs. Our second signature scheme has weaker security but reduces typical signature sizes to 15KB. Both schemes extend naturally to authenticate movies and other digital media and use novel, multi-dimensional variations of Merkle hashing and GGM trees related to constructions used in computational geometry that may be of independent interest.
This research was supported by National Science Foundation grant CNS 0627645.
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References
Ateniese, G., Chou, D.H., de Medeiros, B., Tsudik, G.: Sanitizable Signatures. In: di Vimercati, S.d.C., Syverson, P.F., Gollmann, D. (eds.) ESORICS 2005. LNCS, vol. 3679, pp. 159–177. Springer, Heidelberg (2005)
Chan, G.: Scaling artifacts and resolution, http://www.glennchan.info/broadcast-monitors/scaling-artifacts/scaling-artifacts.htm
Chen, W., Shi, Y.Q., Xuan, G.: Identifying computer graphics using hsv color model and statistical moments of characteristic functions. In: Proceedings of the 2007 IEEE International Conference on Multimedia (2007)
Daily, G.: Sickle’s witness tree (November 2008), http://www.gettysburgdaily.com/?p=856
Daviel, A.: Trusted digital camera, http://andrew.triumf.ca/trustcam (viewed 2/6/2006)
Farid, H.: Detecting digital forgeries using bispectral analysis. Technical report, MIT (1999)
Farid, H., Lyu, S.: Higher-order wavelet statistics and their application to digital forensics. In: Proceedings of the 2003 IEEE Workshop on Statistical Analysis in Computer Vision (2003)
Johnson, R., Walsh, L., Lamb, M.: Homomorphic Signatures for Digital Photographs. Stony Brook University, TR-SB-CSE-SPLAT-2010-09 (2010)
Grosbois, R., Gerbelot, P., Ebrahimi, T.: Authentication and access control in the jpeg 2000 compressed domain. In: Proceedings of the 2001 SPIE Meeting no Applications of Digital Image Processing (2001)
Haggag, A., Yahagi, T., Lu, J.: Image authentication and integrity verification using jpsec protection tools. In: Proceedings of the First International Workshop on Image Media Quality and its Applications (2005)
Johnson, M., Farid, H.: Exposing digital forgeries by detecting inconsistencies in lighting. In: Proceedings of the 2005 ACM Multimedia and Security Workshop (2005)
Johnson, R., Molnar, D., Song, D., Wagner, D.: Homomorphic signature schemes. In: RSA Cryptographer’s Track (2002)
Kiltz, E., Mityagin, A., Panjwani, S., Raghavan, B.: Append-only signatures. In: Automata, Languages and Programming (2005)
Lin, C.-Y., Chang, S.-F.: Generating robust digital signature for image/video authentication. In: Multimedia and Security Workshop at ACM Multimedia, Bristol, UK (September 1998), http://www.ctr.columbia.edu/~cylin/pub/acmmm98.ps
Lin, C.Y., Chang, S.F.: Generating robust digital signature for image/video authentication. In: Proceedings of Multimedia and Security Workshop at ACM Multimedia (September 1998)
Lukas, J., Fridrich, J., Goljan, M.: Detecting digital image forgeries using sensor pattern noise. In: Proceedings of the 2006 SPIE Meeting no Electronic Imaging and Photonics West (2006)
Micali, S., Rivest, R.: Transitive signature schemes. In: Proceedings of the 2002 RSA Conference (2002)
Morton, G.M.: A computer oriented geodetic data base; and a new technique in file sequencing. Technical report, IBM, Ottawa, Canada (1966)
Ng, T.T., Chang, S.F., Hsu, J., Xie, L., Tsui, M.P.: Physics-motivated features for distinguishing photographic images and computer graphics. In: Proceedings of the 2005 ACM Multimedia Conference (2005)
Peng, C., Deng, R., Wu, Y., Shao, W.: A flexible and scalable authentication scheme for jpeg2000 codestreams. ACM Multimedia, 433–441 (November 2003)
Popescu, A.C., Farid, H.: Statistical Tools for Digital Forensics. In: Fridrich, J. (ed.) IH 2004. LNCS, vol. 3200, pp. 128–147. Springer, Heidelberg (2004)
Popescu, A., Farid, H.: Exposing digital forgeries by detecting traces of re-sampling. IEEE Transactions on Signal Processing 55(2), 758–767 (2005)
CNET Reviews. Canon EOS-1Ds Digital SLR (February 2006), http://reviews.cnet.com/Canon_EOS1Ds_Digital_SLR/4514-6501_7-20610303.html (viewed 2/6/2006)
Rivest, R.: Two new signature schemes. Cambridge Seminar Series (2001)
Samet, H.: The Design and Analysis of Spatial Data Structures. Addison-Wesley (1989)
Skodras, A.N., Christopoulos, C.A.: Down-sampling of compressed images in the dct domain. In: Proceedings of the 8th European Signal Processing Conference (September 1998)
Steinfeld, R., Bull, L., Zheng, Y.: Content Extraction Signatures. In: Kim, K.-c. (ed.) ICISC 2001. LNCS, vol. 2288, pp. 205–285. Springer, Heidelberg (2002)
Sun, Q., Chang, S.-F.: A secure and robust digital signature scheme for jpeg2000 image authentication. IEEE Transactions on Multimedia 7(3), 480–494 (2005)
Sun, Q., Chang, S.F., Kurato, M., Suto, M.: A crypto signature scheme for image authentication over wireless channel. In: Proceedings of the 2004 IEEE International Conference on Multimedia (2004)
Sun, Q., Chang, S.F., Kurato, M., Suto, M.: A quantitative semi-fragile jpeg 2000 image authentication system. In: Proceedings of the 2002 International Conference on Image Processing (2002)
The Gimp Team. Gimp: The gnu image manipulation program (May 2011), http://ww.gimp.org/
Wade, N.: Journal to examine how it reviewed articles. New York Times (January 2006)
Wee, S., Apostolopoulos, J.: Secure transcoding with jpsec confidentiality and authentication. Technical report, Hewlett-Packard (2004)
Winslow, D.R.: Reuters apologizes over altered lebanon war photos; suspends photographer. National Press Photographers Association (August 2006)
Wu, J., Zhu, B.B., Li, S., Lin, F.: A secure image authentication algorithm with pixel-level tamper localization. In: Proceedings of the 2004 IEEE International Conference on Image Processing (2004)
Wu, J., Zhu, B.B., Li, S., Lin, F.: New attacks on sari image authentication system. In: Proceedings of the 6th SPIE Security, Steganography, and Watermarking of Multimedia Conference (2004)
Yu, H.H.: Scalable multimedia authentication. In: Proceedings of the Fourth Pacific Rim Conference on Multimedia (December 2003)
Zhang, Z., Qiu, G., Sun, Q., Lin, X., Ni, Z., Shi, Y.Q.: A unified authentication framework for jpeg 2000. In: Proceedings of the 2004 IEEE International Conference on Multimedia (2004)
Zhu, B.B., Swanson, M.D., Li, S.: Encryption and authentication for scalable multimedia: Current state of the art and challenges. In: Proceedings of the 5th SPIE Internet Multimedia Management Systems Conference (2004)
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Johnson, R., Walsh, L., Lamb, M. (2012). Homomorphic Signatures for Digital Photographs. In: Danezis, G. (eds) Financial Cryptography and Data Security. FC 2011. Lecture Notes in Computer Science, vol 7035. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27576-0_12
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