Facial shape-from-shading and recognition using principal geodesic analysis and robust statistics

International Journal of Computer Vision

Volumn 76, Issue 1, 2008, Pages 71-91

  Smith, William A P ^a   Hancock, Edwin R ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

Face recognition; Principal geodesic analysis; Shape from shading

Indexed keywords

GEODESY; MAPS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; ROBUST CONTROL; STATISTICS;

PRINCIPAL GEODESIC ANALYSIS; ROBUST STATISTICS; SHAPE-FROM-SHADING;

FACE RECOGNITION;

EID: 36849055502     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-007-0074-8     Document Type: Article

References (40)

1. USF HumanID. 3D Face Database, Courtesy of Sudeep. Sarkar, University of South Florida, Tampa, FL.
2. Atick, J. J., Griffin, P. A., & Redlich, A. N. (1996). Statistical approach to SFS: Reconstruction of 3D face surfaces from single 2D images. Neural Computation, 8(6), 1321-1340.
3. Basri, R., & Jacobs, D. W. (2003). Lambertian reflectance and linear subspaces. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(2), 218-233.
4. Belhumeur, P.N., Kriegman, D.J., & Yuille, A.L. (1999). The bas-relief ambiguity. International Journal of Computer Vision, 35(1), 33-44.
5. Blanz, V., Basso, C., Poggio, T., & Vetter, T. (2003). Reanimating faces in images and video. In Proceedings of EUROGRAPHICS (pp. 641-650).
6. Blanz, V., & Vetter, T. (1999). A morphable model for the synthesis of 3D faces. In Proceedings of SIGGRAPH (pp. 187-194).
7. Blanz, V., & Vetter, T. (2003). Face recognition based on fitting a 3D morphable model. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(9), 1063-1074.
8. Bronstein, A., Bronstein, M., & Kimmel, R. (2005). Three-dimensional face recognition. International Journal of Computer Vision, 64(1), 5-30.
9. Castelán, M., & Hancock, E. R. (2006). Acquiring height data from a single image of a face using local shape indicators. Computer Vision and Image Understanding, 103(1), 64-79.
10. Dovgard, R., & Basri, R. (2004). Statistical symmetric shape from shading for 3D structure recovery of faces. In Proceedings of ECCV (Vol. 2, pp. 99-113).
11. Dupuis, P., & Oliensis, J. (1994). An optimal control formulation and related numerical methods for a problem in shape reconstruction. Annals of Applied Probability, 4(2), 287-346.
12. Finlayson, G. D., Drew, M. S., & Lu, C. (2004). Intrinsic images by entropy minimization. In Proceedings of ECCV (pp. 582-595).
13. Fisher, N. I. (1985). Spherical medians. Journal of the Royal Statistical Society, Series B, 47(2), 342-348.
14. Fletcher, P. T., Joshi, S., Lu, C., & Pizer, S. M. (2004). Principal geodesic analysis for the study of nonlinear statistics of shape. IEEE Transactions on Medical Imaging, 23(8), 995-1005.
15. Frankot, R. T., & Chellappa, R. (1988). A method for enforcing integrability in shape from shading algorithms. IEEE Transactions on Pattern Analysis and Machine Intelligence, 10(4), 439-451.
16. Fua, P., & Leclerc, Y. G. (1994). Using 3-dimensional meshes to combine image-based and geometry-based constraints. In Proceedings of ECCV (pp. 281-291).
17. Georghiades, A. (2003). Recovering 3-d shape and reflectance from a small number of photographs. In Eurographics symposium on rendering (pp. 230-240).
18. Georghiades, A. S., Belhumeur, P. N., & Kriegman, D. J. (2001). From few to many: Illumination cone models for face recognition under variable lighting and pose. IEEE Transactions on Pattern Analysis and Machine Intelligence, 23(6), 643-660.
19. Giles, P. T. (2001). Remote sensing and cast shadows in mountainous terrain. Photogrammetric Engineering & Remote Sensing, 67(7), 833-840.
20. Gregory, R. L. (1997). Knowledge in perception and illusion. Philosophical Transactions of the Royal Society of London, Series B, 352, 1121-1128.
21. Hill, H., & Bruce, V. (1996). Effects of lighting on the perception of facial surfaces. Journal of Experimental Psychology: Human Perception and Performance, 22(4), 986-1004.
22. Huber, P. (1981). Robust statistics. Chichester: Wiley.
23. Lee, K., Ho, J., & Kriegman, D. (2005). Acquiring linear subspaces for face recognition under variable lighting. IEEE Transactions on Pattern Analysis and Machine Intelligence, 27(5), 1-15.
24. Lenglet, C., Rousson, M., Deriche, R., Faugeras, O., Lehericy, S., & Ugurbil, K. (2005). A Riemannian approach to diffusion tensor images segmentation. In Proceedings of the information processing in medical imaging (pp. 591-602).
25. Levine, M. D., & Bhattacharyya, J. (2005). Removing shadows. Pattern Recognition Letters, 26(3), 251-265.
26. Mardia, K. V., & Jupp, P. E. (2000). Directional statistics. New York: Wiley.
27. Marr, D. (1982). Vision. San Francisco: Freeman.
28. Nishino, K., Belhumeur, P. N., & Nayar, S. K. (2005). Using eye reflections for face recognition under varying illumination. In Proceedings of ICCV (Vol. 1, pp. 519-526).
29. Pennec, X. (1999). Probabilities and statistics on Riemannian manifolds: basic tools for geometric measurements. In Proceedings of the IEEE workshop on nonlinear signal and image processing.
30. Pennec, X. (2004). Probabilities and statistics on Riemannian manifolds: a geometric approach (Technical Report RR-5093). INRIA.
31. Prados, E., & Faugeras, O. (2004). A rigorous and realistic shape from shading method and some of its applications (Technical Report RR-5133). INRIA.
32. Prados, E., & Faugeras, O. D. (2004). Unifying approaches and removing unrealistic assumptions in shape from shading: mathematics can help. In Proceedings of ECCV (pp. 141-154).
33. Samaras, D., & Metaxas, D. (2003). Illumination constraints in deformable models for shape and light direction estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 25(2), 247-264.
34. Smith, W. A. P., & Hancock, E. R. (2006). Recovering facial shape using a statistical model of surface normal direction. IEEE Transactions on Pattern Analysis and Machine Intelligence, 28(12), 1914-1930.
35. Turk, M., & Pentland, A. (1991). Face recognition using eigenfaces. In Proceedings of CVPR (pp. 586-591).
36. Worthington, P. L., & Hancock, E. R. (1999). New constraints on data-closeness and needle map consistency for shape-from-shading. IEEE Transactions on Pattern Analysis and Machine Intelligence, 21(12), 1250-1267.
37. Zhang, L., Wang, S., & Samaras, D. (2005). Face synthesis and recognition under arbitrary unknown lighting using a spherical harmonic basis morphable model. In Proceedings of CVPR (pp. 209-216).
38. Zhao, W. Y., & Chellappa, R. (2000). Illumination-insensitive face recognition using symmetric SFS. In Proceedings of CVPR (pp. 286-293).
39. Zhao, W. Y., & Chellappa, R. (2001). Symmetric shape-from-shading using self-ratio image. International Journal of Computer Vision, 45, 55-75.
40. Zhou, S., & Chellappa, R. (2003). Rank constrained recognition under unknown illuminations. In Proceedings of the IEEE international workshop on analysis and modeling of faces and gestures (pp. 11-18).