Singular value decomposition, eigenfaces, and 3D reconstructions

SIAM Review

Volumn 46, Issue 3, 2004, Pages 518-545

  Muller, Neil ^a   Magaia, Lourenço ^a   Herbst, B M ^a  

^a STELLENBOSCH UNIVERSITY   (South Africa)

Author keywords

3D reconstruction; Facial recognition; Singular value decomposition

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FACE RECOGNITION; IMAGE RECONSTRUCTION; PROBLEM SOLVING; THREE DIMENSIONAL;

3D RECONSTRUCTION; FACIAL RECOGNITION; SINGULAR VALUE DECOMPOSITION (SVD);

BIOMECHANICS;

EID: 4944253267     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144501387517     Document Type: Article

References (35)

1. A. AZARBAYEJANI AND A. P. PENTLAND, Recursive estimation of motion, structure, and focal length, IEEE Trans. Pattern Anal. Machine Intelligence, 17 (1995), pp. 562-575.
2. C. BEAVAN, Fingerprints. The Origins of Crime Detection and the Murder Case That Launched Forensic Science, Hyperion, New York, 2001.
3. J. BRINK, C. NIEUWOUDT, AND E. BOTHA, Facial image compression using the Karhunen-Loève transform, in Proceedings of the Ninth Annual South African Workshop on Pattern Recognition, 1998, pp. 72-77.
4. J. P. COSTEIRA, A Multibody Factorization Method for Motion Analysis, Ph.D. thesis, Technical University of Lisbon, 1995.
5. J. W. DEMMEL, Applied Numerical Linear Algebra, SIAM, Philadelphia, 1997.
6. Department of Applied Mathematics, University of Stellenbosch, ftp site, ftp://dip.sun.ac.za/.
7. Department of Mathematics, MIT, Cambridge, MA, ftp site, http://web.mit.edu/18.06/www/.
8. J. DIAMOND, The Third Chimpanzee, Harper Perennial, New York, 1992.
9. A. ERIKSSEN, 3-d Face Recognition, Master's thesis, University of Stellenbosch, South Africa, 1999.
10. O. FAUGERAS, Three-Dimensional Computer Vision, MIT Press, Cambridge, MA, 1993.
11. K. FUKUNAGA, Statistical Pattern Recognition, 2nd ed., Johns Hopkins University Press, Baltimore, MD, 1989.
12. G. H. GOLUB AND C. F. VAN LOAN, Matrix Computation, 3rd ed., Academic Press, Boston, 1996.
13. K. HÆGGER, The Illustrated History of Surgery, Harold Starke, London, 1989.
14. P. W. HALLINAN, G. G. GORDON, A. L. YUILLE, P. GIBLIN, AND D. MUMFORD, Two- and Three-Dimensional Face Patterns of the Face, A. K. Peters, Natick, MA, 1999.
15. R. HARTLEY AND A. ZISSERMAN, Multiple View Geometry in Computer Vision, Cambridge University Press, Cambridge, UK, 2000.
16. B. LUCAS AND T. KANADE, An iterative image registration technique with an application to stereo vision, in Proceedings of the 7th International Joint Conference on Artificial Intelligence, Vancouver, Kaufmann, San Francisco, CA, 1981, pp. 674-679.
17. J. LUETTIN AND G. MAÎTRE, Evaluation protocol for the extended M2VTS database (XM2VTSDB), IDIAP-COM 05, IDIAP, 1998.
18. D. MCNEILL, The Face, Penguin Books, London, 1998.
19. K. MESSER, J. MATAS, J. KITTLER, J. LUETTIN, AND G. MAITRE, XM2VTSbd: The extended M2VTS database, in Proceedings of the 2nd Conference on Audio and Video-based Biometric Personal Verification (AVBPA99), Springer-Verlag, New York, 1999; http://www. ee.surrey.ac.uk/Research/VSSP/xm2vtsdb.
20. E. MORGAN, The Aquatic Ape Hypothesis, Souvenir Press, London, 1997.
21. T. MORITA AND T. KANADE, A sequential factorization method for recovering shape and motion from image streams, IEEE Trans. Pattern Anal. Machine Intelligence, 19 (1997), pp. 858-867.
22. N. MULLER, Facial Recognition, Eigenfaces and Synthetic Discriminant Functions, Ph.D. thesis, University of Stellenbosch, South Africa, 2000.
23. A. PENTLAND, B. MOGHADDAM, AND T. STARNER, View based and modular eigenspaces for face recognition, in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, 1994, pp. 84-91.
24. A. PENTLAND, T. STARNER, N. ETCOFF, A. MASOIU, O. OLIYIDE, AND M. TURK, Experiments with Eigenfaces, Technical Note 194, Perceptual Computing Group, MIT Media Laboratory, Cambridge, MA, 1992.
25. J. PHILLIPS, H. MOON, P. RAUSS, AND S. RIZVI, The FERET September 1996 database and evaluation procedure, in Proceedings of the First International Conference and Video-based Biometric Person Authentication, Springer-Verlag, Berlin, 1997, pp. 395-402.
26. S. PINKER, How the Mind Works, Penguin Books, London, 1998.
27. L. SIROVICH AND M. KIRBY, Low-dimensional procedure for the characterization of human faces, J. Opt. Soc. Amer. A., 4 (1987), pp. 519-524.
28. G. STRANG, Introduction to Linear Algebra, 2nd ed., Wellesley-Cambridge Press, Cambridge, MA, 1998.
29. C. TOMASI AND T. KANADE, Shape and Motion from Image Streams: A Factorization Method, Technical Report CS-90-166, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, 1991.
30. C. TOMASI AND T. KANADE, Shape and Motion from Image Streams: A Factorization Method-Detection and Tracking of Points Features, Technical Report CS-91-132, School of Computer Science, Carnegie Mellon University, Pittsburgh, PA, 1991.
31. C. TOMASI AND T. KANADE, Shape and motion from image streams under orthography, Internat. J. Comput. Vision, 9 (1992), pp. 137-154.
32. L. N. TREFETHEN AND D. BAU III, Numerical Linear Algebra, SIAM, Philadelphia, 1997.
33. E. TRUCCO AND A. VERRI, Introductory Techniques for 3D Computer Vision, Prentice-Hall, Englewood Cliffs, NJ, 1998.
34. M. TURK AND A. PENTLAND, Eigenfaces for recognition, J. Cognitive Neurosci., 3 (1991), pp. 71-86.
35. UNIVERSITY OF SURREY, The XM2VTS Face Database, available online from http://www.ee. surrey.ac.uk/Research/VSSP/xm2vtsdb/.