Abstract
Three-dimensional (3D) visualization of spatial and non-spatial data is a well-established practice having numerous applications. The cheapest and the most efficient way to 3D visualization is 3D images/Anaglyphs. 3D images contain 3D information of the objects present in the image. These images are easily obtained by superimposing left and right eye images in different color in a single image. In this paper, a novel security framework, viz., watermarking scheme, is presented to ensure their security. The proposed security framework is employed in fractional Fourier transform domain of secret color channel followed by the embedding using singular value decomposition. The secret channels (SEC) are obtained by applying reversible integer transform on the RGB channels. The experimental results prove the robustness and imperceptibility of the proposed watermarking scheme.
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References
Alattar AM (2003) Reversible watermark using difference expansion of triplets. In: Proceedings of IEEE international conference on image processing, vol 1, Barcelona, Spain, pp 501–504
Almeida LB (1994) The fractional Fourier transform and time–frequency representations. IEEE Trans Signal Process 42:3084–3091
Bhatnagar G, Raman B (2009) A new robust reference watermarking scheme based on DWT-SVD. Comput Stand Interface 31(5):1002–1013
Cox IJ, Miller ML, Bloom JA (2001) Digital watermarking. Morgan Kaufmann, San Francisco, CA
Dubois E (2001) A projection method to generate Anaglyph stereo images. In: Proceedings of IEEE international conference on acoustics speech signal processing, vol 3, Salt Lake City, UT, pp 1661–1664
Ganic E, Eskicioglu AM (2005) Robust embedding of visual watermarks using DWT-SVD. J Electron Imag 14(4):043004
Liu R, Tan T (2002) An SVD-based watermarking scheme for protecting rightful ownership. IEEE Trans Multimed 4(1):121–128
Namias V (1980) The fractional order Fourier transform and its application to quantum mechanics. J Inst Math Appl 25:241–265
Ozaktas HM, Kutay MA, Zalevsky Z (2000) The fractional Fourier transform with applications in optics and signal processing. Wiley, New York
Pinker S (1997) The Mind’s eye. In: Pinker S (ed) How the mind works. WW Norton & Company, New York, pp 211–233
Rollmann W (1853) Notiz zur Stereoskopie. Ann Phys 165(6):350–351
Stoffer PW, Phillips E, Messina P (2003) Anaglyph image technology as a visualization tool for teaching geology of national parks. EOS Trans AGU 84(46), Fall meet. suppl., Abstract ED32B-1198
Strang G (1993) Introduction to linear algebra. Wellesley-Cambridge Press, Wellesley
Sverldov A, Dexter S, Eskicioglu AM (2005) Robust DCT-SVD domain image watermarking for copyright protection: embedding data in all frequencies. In: Proceedings of European signal processing conference, Antalya, Turkey, pp 1–4
Trucco E, Verri A (1998) Introductory techniques for 3D computer vision. Prentice Hall PTR, New Jersey
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Bhatnagar, G., Wu, J. & Raman, B. A robust security framework for 3D images. J Vis 14, 85–93 (2011). https://doi.org/10.1007/s12650-010-0067-5
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DOI: https://doi.org/10.1007/s12650-010-0067-5