Abstract
We consider the potential implications of recent developments in subfields of image analysis and image representation for watermarking and steganography. We consider three rapidly developing subfields: 1. Natural Scene Statistics; 2. Level Set Image Processing and Geometric Diffusion; and 3. Computational Harmonic Analysis. Each of these subfields has recently claimed progress either in characterizing or processing images. We interpret all such progress as implicitly or explicitly identifying invariants of real images. Such invariants are potential tools for studying the effects of watermarking or steganography in an image. We briefly survey these three subfields, give several examples of such invariants, and explore the effects of model watermarking schemes on such invariants.
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Ambrosio, L. and Tortorelli, V.: Approximation of functionals depending on jumps by elliptic functional via Γ-convergence, Commun. Pure. Appl. Math., 43 (no. 8) (1990).
Barni, M., Bertollini, F., Cox, I. Hernandez, J. and Perez-Gonzalez, F.: Digital Watermarking for copyright protection: a communications perspective. IEEE Comunications Magazine August 2001 90–116.
Bell, A.J. and Sejnowski, T.J.: An information-maximization approach to blind separation and blind deconvolution. Neural Computation. 7 (1995) 1129–1159
Bender, W., Gruhl, D., Morimoto, N., Lu, A.: Techniques for data hiding. IBM Systems Journal. 35 (no 3,4) (1996) 313–336.
Bertalmio, M., Sapiro, G., Ballester, C. and Caselles, C.: Image inpainting. Computer Graphics, SIGGRAPH 2000, July 2000.
Buccigrossi, R.W. and Simoncelli, E.P.: Image compression via joint statistical characterization in the wavelet domain. IEEE Transactions on Image Processing, 8, (no.12) Dec. 1999 1688–701.
Candès, E.: Ridgelets: Theory and Applications. Ph.D. Thesis, Department of Statistics, Stanford University, 1998.
Candès, E and Donoho, D.: Ridgelets: The key to High-Dimensional Intermittency?. Phil. Trans. R. Soc. Lond. A. 357 (1999), 2495–2509.
Candès, E and Donoho, D.: Curvelets: a surprisingly effective nonadaptive representationof objects with edges. In: Albert Cohen, Christophe Rabut, and Larry L. Schumaker (eds.). Curve and Surface Fitting: Saint-Malo. Vanderbilt University Press, Nashville, TN. ISBN 0-8265-1357-3, 1999.
Cox, I., Bloom, J., Miller, M.: DigitalWatermarking, Morgan Kaufmann Publishers (2001).
Cox, I., Lilian, J., Leighton, T.: Secure spread spectrum watermarking for multimedia. IEEE Transactions on image processing. 6 (no.1) (1997) 1673–1687.
Cox, I., Miller, M. and Mckeillips, A.: Watermarking as communications with side information. Proceeding of the IEEE 87 No.7 July 1999 1127–1141.
Donoho, D.: Orthonormal Ridgelets and Linear Singularities. SIAM J. Math Anal. 31 (no 5) (2000) 1062–1099.
Donoho, D. Ridge Functions and Orthonormal Ridgelets. Journ. Approx. Thry. 111 (2001) 143–179.
Donoho, D.L., Flesia, A.G.: Can recent innovations in harmonic analysis “explain” key findings in natural image statistics?. Network: Computation in Neural Systems 12 (no.3) (Natural Stimulus Statistics Workshop 2000, Long Island, USA, Oct. 2000.) IOP Publishing Aug. 2001 371–93.
Donoho, D.L., Flesia, A.G.: Digital ridgelet transform based on true ridge functions. To appear in BeyondWavelets. J. Stoeckler and G. Welland (Eds). Academic Press, December 2002.
Dugelay, J.L. and Roche, S. A survey of current watermarking techniques. In: Katzenbeisser, S. and Petitcolas, F. (eds). Information Hiding, Techniques for Steganography and DigitalWatermarking, Computer Security Series, Artech House (2000) 121–148.
Esedoglu, S. and Shen, J.: Digital Inpainting based on the Mumford-Shah-Euler image model. European J. Applied Mathematics, in press, 2002
Farid, H: Detecting steganographic messages in digital images. Technical Report 2001-412, Dartmouth College, Computer Science. http://www.cs.dartmouth.edu/ farid/publications/tr01.html.
Hannigan, B., Reed, A. and Bradley, B.: Digital watermarking using improved human visual system model.
Hartung, F. and Kutter, M.: Multimedia watermarking techniques. Proceeding of the IEEE. 87 (no.7) July 1999 1079–1107.
Herrigel, A., O Ruanaidh, J., Petersen, H. Pereira, S. and Pun, T.: Secure copyright protection techniques for digital images. In: Aucsmith, D. (ed.): Information Hiding. Lecture Notes in Computer Science, Vol. 1525, Springer-Verlag, Berlin Heidelberg New York (1998) 169–190.
Information Hiding, techniques for steganography and digital watermarking. In: Computer Security Series. Katzenbeisser, S. and Petitcolas, F. (eds), Artech House (2000).
Information theoretic aspects of digital watermarking. Special Issue of Signal Processing. Elsevier for EURASIP, 81 (no.6) June 2001 1117–1119.
Johnson, N., Jajodia, S., Duric, Z.: Information Hiding: Steganography and Watermarking-Attacks and Countermeasures. Kluer Academic Publishers (2000).
Kutter, M. and Hartung, F.: Introduction to watermarking techniques. In: Katzenbeisser, S. and Petitcolas, F. (eds). Information Hiding, Techniques for Steganography and Digital Watermarking, Computer Security Series, Artech House (2000).
Langelaar, G., Setyaman, I. and Lagendijk, R.: Watermarking digital image and video data. A state of the art overview. IEEE Signal Processing Magazine. 17 (no.5) September 2000 20–46.
Maes, M., Kalker, T., Linnartz, J.P., Talstra, J., Depovere, G., Haitsma, J.: Digital watermarking for DVD Video Copy protection. IEEE Signal Processing Magazine. Sept. 2000 47–57.
Memon, N. and Wah Wong, P.: Protecting Digital Media Content. Comunications of the ACM. 41 (no.7) July 1998 35–43.
Miller, M., Cox, I., Linnartz, J.P. and Kalker, T.: A review of watermarking principles and practices. In: Parhi, K. and Nishitani, T. (eds.) Digital Signal Processing in Multimedia Systems, Marcel Dekker Inc. (1999) 461–485.
Mumford, D. and Shah, J.: Optimal approximation by piecewise smooth functions and associated variational problems. Comm. Pure. Appl. Math., vol. 42, no. 4, 1989.
Mumford, D. and Gidas, B.: Stochastic models for generic images. Technical report, Division of Applied Mathematics, Brown University, 1998. http://citeseer.nj.nec.com/mumford99stochastic.html
Olshausen, B. and Field, D.: Emergence of simple-cell receptive field properties by learning a sparse code for natural images. Nature 381 (1996) 607–609.
Olshausen, B and Field, D.: Natural Image statistics and efficient image coding. Network: Computation on neural systems. 7 (1996) 3333–3339.
Petiticolas, F., Anderson, R. and Kuhn, M.: Information Hiding: a survey. Proceeding of the IEEE 87 (no.7) July 1999 1062–1078.
Podilchuk, C. and Delp, E.: Digital watermarking algorithms and applications. IEEE Signal Processing Magazine. July 2001 33–46.
C. Podilchuk, W. Zeng.: Image-adaptive watermarking using visual models. (1998).
Sapiro, G.: Geometric Partial Differential Equations and Image Processing. Cambridge University Press, January 2001.
Sethian, J.A.: Level Set Methods and Fast Marching Methods: Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science. Cambridge University Press, 1999 Cambridge Monograph on Applied and Computational Mathematics.
Portilla, J., Simoncelli, E.P.: A parametric texture model based on joint statistics of complex wavelet coefficients. International Journal of Computer Vision, 40 (no.1) (2000) p. 49–71.
Ruderman, D.: The statistics of natural images. Network. 5 (no 4) (1993) 517–548.
Swanson, M., Kobayashi, M. and Tewfik, A.: Multimedia data-embedding and watermarking technologies. Proceedings of the IEEE. 86 (no.6) June 1998 1064–1087.
Simoncelli, E. and Adelson, E.: Subband Transforms In: John Woods (ed.) Subband Image Coding. Kluwer Academic Publishers Norwell MA, 1991 143–192.
Simoncelli, E.P., Olshausen, B.A.: Natural Image Statistics and Neural Representation. Annual Review of Neuroscience, 24 (2001) 1193–1215.
Su, J., Hartung, F., Girod, B.:Channel Model for a Watermark Attack. Proc. Security and Watermarking of Multimedia Contents, San Jose, CA, SPIE, 3657 January 1999 159–170.
Voyatzis, G. and Pitas, I.: The use of watermarks in the protection of digital multimedia products. Proceeding of the IEEE 87 (no.7) July 1999 1197–1207.
Wolfgang, R. and Podilchuk, C.:Perceptual watermarks for digital images and video. Proceeding of the IEEE. 87 (no.7) July 1999 1108–1126.
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Flesia, A.G., Donoho, D.L. (2003). Implications for Image Watermarking of Recent Work in Image Analysis and Representation. In: Kim, H.J. (eds) Digital Watermarking. IWDW 2002. Lecture Notes in Computer Science, vol 2613. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36617-2_11
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DOI: https://doi.org/10.1007/3-540-36617-2_11
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