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1. , .. , / .. , .. . - .: , 2006. - 472 .
2. Lin, H.-C. Regular-texture image retrieval based on texture-primitive extraction / H.-C. Lin, L.-L. Wang, Sh.-N. Yang // Image and Vision Computing. - 1999. - Vol. 17. - P. 51-63.
3. Hutton, R.G. Documents of value including intaglio printed transitory images / R.G. Hutton, T. Merry. - U.S. Patent 4,033,059. - New York: American Banknote Company, 1977.
4. van Renesse, R.L. Hidden and Scambled Images - a Review / R.L. van Renesse // SPIE Conference on Optical Security and Counterfeit Deterrence Techniques IV. - 2002. - P. 333-348.
5. Mowry, W. Protected document bearing watermark and method of making / W. Mowry, M. McElligott, V. Tka-lenko, J. Baran, C. Ingalls. - U.S. Patent 4,210,346. -Burroughs Corporation, 1977.
6. Koltai, F. Anti-counterfeiting method and apparatus using digital screening / F. Koltai, L. Baros, B. Adam, F. Takacs. - U.S. Patent 6,104,812. - Juratrade Limited, 1998.
7. Koltai, F. Enhanced optical security by using information carrier digital screening / F. Koltai, B. Adam // SPIE Conference on Optical Security and Counterfeit Deterrence Techniques V. - 2004. - P. 160-169.
8. , .. . . 3 / .. . - 6- . - .: , 2014. - 351 .
9. Movellan, J. Tutorial on Gabor Filters / J. Movellan. -Technical report, MPLab Tutorials, University of California, San Diego, 2005.
10. , .. / .. , .. // . -1999. - 6. - . 51-55.
11. , .. : . / .. , .. . - : , 2013. - 206 .
12. Jain, A.K. Unsupervised Texture Segmentation Using Gabor Filters / A.K. Jain, F. Farrokhnia // Pattern Recognition. -1990. - Vol. 24(12). - P. 1167-1186.
13. Weldon, T.P. Design Of Multiple Gabor Filters For Texture Segmentation / T.P. Weldon // 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing. -1996. - Vol. 4. - P. 2243-2246.
14. , .., / .. , .. // . -1989. - 5. - . 78-84.
15. , .. . / P.A. . - .: , 2010. - 560 .
16. Dempster, A.P. Maximum likelihood from incomplete data via the EM algorithm / A.P. Dempster, N.M. Laird, D.P. Rubin // Journal of the Royal Statistical Society, Series B. - 1977. - Vol. 39(1). - P. 1-38.
References
1. Pavlov, I.V. Control of the authenticity of documents, securities and bank notes / I.V. Pavlov, A.I. Potapov. - Moscow: "Tekhnosphera" Publisher, 2006. - 472 p. - (In Russian).
2. Lin, H.-C. Regular-texture image retrieval based on texture-primitive extraction / H.-C. Lin, L.-L. Wang, Sh.-N. Yang // Image and Vision Computing. - 1999. - Vol. 17. - P. 51-63.
3. Hutton, R.G. Documents of value including intaglio printed transitory images / R.G. Hutton, T. Merry. - U.S. Patent 4,033,059. - New York: American Banknote Company, 1977.
4. van Renesse, R.L. Hidden and Scambled Images - a Review / R.L. van Renesse // SPIE Conference on Optical Security and Counterfeit Deterrence Techniques IV. - 2002. - P. 333-348.
5. Mowry, W. Protected document bearing watermark and method of making / W. Mowry, M. McElligott, V. Tka-lenko, J. Baran, C. Ingalls. - U.S. Patent 4,210,346. -Burroughs Corporation, 1977.
6. Koltai, F. Anti-counterfeiting method and apparatus using digital screening / F. Koltai, L. Baros, B. Adam, F. Takacs. - U.S. Patent 6,104,812. - Juratrade Limited, 1998.
7. Koltai, F. Enhanced optical security by using information carrier digital screening / F. Koltai, B. Adam // SPIE Conference on Optical Security and Counterfeit Deterrence Techniques V. - 2004. - P. 160-169.
8. Kudryavtsev, L.D. Course of mathematical analysis. Vol. 3 / L.D. Kudryavtsev. - 6th ed. - Moscow: "Urait" Publisher, 2014. - 351 p. - (In Russian).
9. Movellan, J. Tutorial on Gabor Filters / J. Movellan. -Technical report, MPLab Tutorials, University of California, San Diego, 2005.
10. Sergeyev, V.V. Fast algorithm for Gabor filtering / V.V. Sergeyev, V.V. Myasnikov // Optoelectronics, Instrumentation and Data Processing. - 1999. - Vol. 35(6). -P. 51-55. - (In Russian).
11. Sergeyev, V.V. Digital signal and image processing theory. Schoolbook. / V.V. Sergeyev, M.A. Chichva. - Samara: "SSAU" Publisher, 2013. - 206 p. - (In Russian).
12. Jain, A.K. Unsupervised Texture Segmentation Using Gabor Filters / A.K. Jain, F. Farrokhnia // Pattern Recognition. -1990. - Vol. 24(12). - P. 1167-1186.
13. Weldon, T.P. Design Of Multiple Gabor Filters For Texture Segmentation / T.P. Weldon // 1996 IEEE International Conference on Acoustics, Speech, and Signal Processing. -1996. - Vol. 4. - P. 2243-2246.
14. Sergeyev, V.V. Some modifications of digital correlator for detection of objects on image / V.V. Sergeyev,
M.A. Chicheva // Computer Optics. - 1989. - Vol. 5. -P. 78-84. - (In Russian).
15. Schowengerdt, R.A. Remote sensing: models and methods for image processing / R.A. Schowengerdt. - 3rd ed. - Academic press, 2006. - 520 p.
16. Dempster, A.P. Maximum likelihood from incomplete data via the EM algorithm / A.P. Dempster, N.M. Laird, D.P. Rubin // Journal of the Royal Statistical Society, Series B. - 1977. - Vol. 39(1). - P. 1-38.
A METHOD FOR EXTRACTING WATERMARKS FROM TEXTURED PRINTED DOCUMENTS
V. V. Sergeyev, V.A. Fedoseev Image Processing Systems Institute, Russian Academy of Sciences, Samara State Aerospace University Abstract
In this paper, we propose a method for extracting latent images (watermarks) embedded into a regular (two-dimensional quasi-periodical) texture of printed document image. The method includes the following steps: spectral analysis of the input image, synthesis of Gabor filter bank, multichannel Gabor filtering of the image that forms textural feature fields, and finally, multichannel segmentation of them. A number of examples show the operability and potential effectiveness of the method.
Key words: printed document, regular texture, watermark, texture analysis, Gabor filter, segmentation.
1951 . 1974 ( ( ), ). 1993 . . : , , , . 270 , 56 , ( ). . - , SPIE (The International Society for Optical Engineering), .
E-mail: vserg@geosamara.ru .
Vladislav Victorovich Sergeyev (1951 b.), graduated (1974) from S.P. Korolyov Samara State Aerospace University (SSAU). He received his PhD in Technical sciences (1978) and DrSc degree in Physics & Maths (1993). At present he is a head of laboratory at the Image Processing Systems Institute of the Russian Academy of Sciences, and holding a part-time position as the head of the Geoinformatics and Information Security sub-department at SSAU. The area of interests includes digital signals and image processing, geoinformatics and pattern recognition. Hes publications contains about 270 scientific papers, including 4 monographs. He is a member of Russian Association of Pattern Recognition and Image Analysis and The International Society for Optical Engineering.
, 1986 , 2009 .. () ї, - (2012). . : , , . E-mail: vicanfed@gmail.com .
Victor Andreevich Fedoseev (b. 1986) graduated (2009) from Samara State Aerospace University (SSAU), majoring in Applied Mathematics and Computer Science. PhD in Computer Science (2012). Currently he is a research scientist in the Image Processing Systems Institute of the Russian Academy of Sciences and assistant professor at the Geoinformatics and Information Security department at SSAU. His current research interests include image processing and image analysis, digital watermarking and steganography.
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