A coherent framework for fingerprint analysis: Are fingerprints holograms?

Optics Express

Volumn 15, Issue 14, 2007, Pages 8667-8677

  Larkin, Kleran G ^a   Fletcher, Peter A ^a  

^a Pty Ltd   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HOLOGRAMS; IMAGE RECONSTRUCTION; LIGHT MODULATION; MATHEMATICAL MODELS;

COMPRESSION FACTOR; FINGERPRINT ANALYSIS; HEIMHOLTZ DECOMPOSITION THEOREM; INFINITE FREQUENCY SINGULARITIES; RELIABLE ANALYSIS;

PATTERN RECOGNITION;

EID: 34547221537     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.15.008667     Document Type: Article

References (41)

1. D. Maltoni, D. Maio, A. K. Jain, and S. Prabhakar, Handbook of fingerprint recognition (Springer, New York, 2003).
2. N. Ratha and R. Bolle, eds., Automatic Fingerprint Recognition Systems (Springer, New York, 2003).
3. S. Chikkerur, A. N. Cartwright, and V. Govindaraju, "Fingerprint Image Enhancement using STFT Analysis," in ICAPR, S. Singh, M. Singh, C. Apte, and P. Perner, eds., (Springer-Verlag, Bath, UK, 2005).
4. A. K. Jain, and S. Pankanti, "Automated Fingerprint Identification and Imaging Systems," in Advances in Fingerprint Technology, H. C. Lee, and R. E. Gaensslen, eds., (CRC Press, 2001).
5. U. Grasemann, and R. Miikkulainen, "Effective image compression using evolved wavelets," in Genetic And Evolutionary Computation Conference (GECCO-05),(ACM, Washington DC, 2005), pp. 1961-1968.
6. J. Tharna, K. Nilsson, and J. Bigun, "Orientation scanning to improve lossless compression of fingerprint images.," in Audio and Video based Person Authentication - AVBPA03, J. Kittler, and M. S. Nixon, eds. (Springer, Heidelberg, 2003), pp. 343-350.
7. C. M. Brislawn, "Fingerprints go digital," Notices of the AMS 42, 1278-1283 (1995).
8. K. G. Larkin, D. Bone, and M. A. Oldfield, "Natural demodulation of two-dimensional fringe patterns: I. General background to the spiral phase quadrature transform.," J. Opt. Soc. Am. A 18, 1862-1870 (2001). http://www.opticsinfobase.org/abstract.cfm?URI=josaa-18-8-1862
9. F. Galton, Finger Prints (Macmillan, London, 1892). http://galton.org/books/finger-prints/index.htm
10. J. F. Nye, and M. V. Berry, "Dislocations in wave trains," Proc. R. Soc. Lond. A. 336, 165-190 (1974).
11. A. W. Senior, R. M. Bolle, N. K. Ratha, and S. Pankanti, "Fingerprint Minutiae: A Constructive Definition," in Workshop on biometrics, IEEEECCV, (Copenhagen, Denmark, 2002).
12. A. Ross, J. Shah, and A. K. Jain, "From Template to Image: reconstructing fingerprints from minutiae points," IEEE Trans PAMI29, 544-560 (2007).
13. R. M. Goldstein, H. A. Zebker, and C. L. Werner, "Satellite radar interferometry: two-dimensional phase unwrapping," Radio Science 23, 713-720 (1988).
14. J. M. Huntley, "Noise-immune phase unwrapping algorithm," Appl. Opt. 28, 3268-3270 (1989).
15. D. J. Bone, "Fourier fringe analysis: the two-dimensional phase unwrapping problem," Appl. Opt. 30, 3627-3323 (1991).
16. D. L. Fried and J. L. Vaughn, "Branch cuts in the phase function," Appl. Opt. 31, 2865-2882 (1992).
17. D. C. Ghiglia, and M. D. Pritt, Two-dimensional phase unwrapping (John Wiley and Sons, New York, 1998).
18. R. Penrose, "The topology of ridge systems," Ann. Hum. Genet.,Lond. 42, 435-444 (1979).
19. M. Kass, and A. Witkin, "Analyzing oriented patterns," Computer vision, graphics, and image processing 37, 362-385 (1987).
20. C. F. Shu, and R. C. Jain, "Direct Estimation and Error Analysis For Oriented Patterns," CVGIP-Image Understanding 58, 383-398 (1993).
21. D. A. Egolf, I. V. Melnikov, and E. Bodenschatz, "Importance of local pattern properties in spiral defect chaos," Phys. Rev. Lett. 80, 3228-3231 (1998).
22. B. G. Sherlock and D. M. Monro, "A model for interpreting fingerprint topology," Pattern Recogn. 26, 1047-1055 (1993).
23. A. M. Turing, "The chemical basis of morphogenesis, reprinted from Philosophical Transactions of the Royal Society (Part B), 237, 37-72 (1953)," Bull. Math. Biol. 52, 153-197 (1990).
24. A. Witkin and M. Kass, "Reaction-diffusion textures," Comput. Graphics 25, 299-308 (1991).
25. J. P. Crutchfield, ed., Is Anything Ever New? Considering Emergence, in Complexity: Metaphors, Models, and Reality, (Addison-Wesley, Redwood City, 1994). http://www.santafe.edu/research/publications/wpabstract/ 199403011
26. J. Myung, and M. Pitt, "Model Selection Methods," in Amsterdam Workshop on Model Selection (Amsterdam, 2004). http://www2.fmg.uva.nl/modelselection/presentation.cfm?presenter=5
27. D. Gabor, "Microscopy by reconstructed wave-fronts," Pro. R. Soc. London 197, 454-487 (1949).
28. J. G. Daugman and C. J. Downing, "Demodulation, predictive coding, and spatial vision," J. Opt. Soc. Am. A 12, 641-660 (1995).
29. D. Kosz, "New numerical methods of fingerprint recognition based on mathematical description of arrangement of dermatoglyphics and creation of minutiae," in Biometrics in Human Service User Group Newsletter, D. Mintie, ed., (1999). http://www.ct.gov/dss/cwp/view.asp?A=2349&Q= 304724
30. W. Bicz, "The idea of description (reconstruction) of fingerprints with mathematical algorithms and history of the development of this idea at Optel," (Optel, 2003), http://www.optel.pl/article/english/idea. html. (Accessed 9 May 2006).
31. K. G. Larkin, "Natural demodulation of two-dimensional fringe patterns: II. Stationary phase analysis of the spiral phase quadrature transform.," J. Opt. Soc. Am. A 18, 1871-1881 (2001).
32. B. Jähne, Practical handbook on Image processing for Scientific applications (CRC Press, Boca Raton, Florida, 1997).
33. K. G. Larkin, "Uniform estimation of orientation using local and nonlocal 2-D energy operators," Optics Express 13, 8097-8121 (2005).
34. G. H. Granlund, and H. Knutsson, Signal processing for computer vision (Kluwer, Dordrecht, Netherlands, 1995).
35. V. A. Soifer, V. V. Kotlyar, S. N. Khonina, and A. G. Khramov, "The method of the directional field in the interpretation and recognition of images with structure redundancy," Image Analysis and Signal Processing: Adv. Math. Theory Appl. 6, 710-724 (1996).
36. K. G. Larkin, "Natural demodulation of 2D fringe patterns," in Fringe'01 - The Fourth International Workshop on Automatic Processing of Fringe Patterns, W. Juptner, and W. Osten, eds., (Elsevier, Bremen, Germany, 2001). http://citeseer.ist.psu.edu/458598.html
37. Y. Tong, S. Lombey, A. N. Hirani, and M. Desbrun, "Discrete multiscale vector field decomposition," ACM Transactions on Graphics 22, 445-452 (2003).
38. NIST Image Group's Fingerprint Research, "Fingerprint Test Data on CD-ROM," (NIST), http://www.itl.nist.gov/iad/894.03/fing/fing.html.
39. S. Kasaei, M. Deriche, and B. Boashash, "A novel fingerprint image compression technique using wavelets packets and pyramid lattice vector quantization," IEEE Transactions On Image Processing 11, 1365-1378 (2002).
40. P. A. Fletcher, and K. G. Larkin, "Direct embedding and detection of RST invariant Watermarks," in IH2002, Fifth International Workshop on Information Hiding, F. A. P. Petitcolas, ed., (Springer Verlag, Noordwijkerhout, The Netherlands, 2002), pp. 129-144.
41. K. G. Larkin, and P. A. Fletcher, "Extreme compression of fingerprint images: squeezing patterns until the spirals pop out," in Fifth International Workshop on Information Optics (Toledo, Spain, 2006). http://scitation.aip.org/dbt/dbt.isp?KEY=APCPCS&Volume=860&Issue= 1