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  Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection (1997) [739 citations — 11 self]

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by Peter N. Belhumeur, Jo~ao P. Hespanha, David J. Kriegman
IEEE Transactions on Pattern Analysis and Machine Intelligence
http://www-cvr.ai.uiuc.edu/kriegman-grp/papers/papers/eccv96.ps.gz
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Abstract:

Abstract. We develop a face recognition algorithm which is insensitive to gross variation in lighting direction and facial expression. Taking a pattern classification approach, we consider each pixel in an image as a coordinate in a high-dimensional space. We take advantage of the observation that the images of a particular face under varying illumination direction lie in a 3-D linear subspace of the high dimensional feature space-- if the face is a Lambertian surface without self-shadowing. However, since faces are not truly Lambertian surfaces and do indeed produce self-shadowing, images will deviate from this linear subspace. Rather than explicitly modeling this deviation, we project the image into a subspace in a manner which discounts those regions of the face with large deviation. Our projection method is based on Fisher's Linear Discriminant and produces well separated classes in a low-dimensional subspace even under severe variation in lighting and facial expressions. The Eigenface technique, another method based on linearly projecting the image space to a low dimensional subspace, has similar computational requirements. Yet, extensive experimental results demonstrate that the proposed "Fisherface " method has error rates that are significantly lower than those of the Eigenface technique when tested on the same database.

Citations

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1745 Eigenfaces for Recognition – Turk, Pentland - 1991
1094 Computer Vision – Horn - 1986
739 Visual learning and recognition of 3d objects from appearance – Murase, Nayar - 1995
496 The use of multiple measurements in taxonomic problems – Fisher - 1936
478 View-based and modular eigenspaces for face recognition – Pentland, Moghaddam, et al. - 1994
461 Face recognition using eigenfaces – Turk, Pentland - 1991
402 Human and Machine Recognition of faces: A survey – Chellappa, Sirohey - 1995
289 Low-dimensional procedure for the characterization of human faces – Sirovich, Kirby - 1987
205 Probabilistic visual learning for object detection – Moghaddam, Pentland - 1995
195 What is the set of images of an object under all possible lighting conditions – Belhumeur, Kriegman - 1996
182 Automatic Recognition and Analysis of Human Faces and Facial Expressions: A – Samal - 1992
159 Face recognition: the problem of compensating for changes in illumination direction – Adini, Moses, et al. - 1997
95 Face Recognition Under Varying Pose – Beymer - 1993
89 A low-dimensional representation of human faces for arbitrary lighting conditions – Hallinan - 1994
74 A unified approach to coding and interpreting face images – Lanitis, Taylor, et al. - 1995
61 Geometry and photometry in 3d visual recognition – Shashua - 1992
56 Face recognition: Features vs. templates – Brunelli, Poggio - 1993
51 Human and Machine Recognition of Faces: A – Chellappa, Wilson, et al. - 1995
46 Determining the gaze of faces in images – Gee, Cipolla - 1994
41 Finding face features – Craw, Tock, et al. - 1992
37 Analysing images of curved surfaces – Woodham - 1981
35 Determining Shape and Reflectance Using Multiple Images – Silver - 1980
34 A Deformable Model for Face Recognition Under Arbitrary Lighting Conditions – Hallinan - 1995
30 Learning-based hand sign recognition using SHOSLIF-M – Cui, Swets, et al. - 1995
29 Face detection by fuzzy pattern matching – Chen, Wu, et al. - 1995
24 Automatic recognition of human facial expressions – Matsuno, Lee, et al. - 1995
22 Finding faces in cluttered scenes using labelled random graph matching – Leung, Burl, et al. - 1995
19 Lowdimensional procedure for the characterization of human faces – Sirovitch, Kirby - 1987
16 A Real-Time Face Recognition System Using Custom VLSI Hardware – Gilbert, Yang - 1993
12 Determining the gaze of faces – Gee, Cipolla - 1994
11 Human face recognition method based on the statistical model of small sample size – Cheng, Liu, et al. - 1991
5 Learning-Based Hand Sign Recognition Using – Cui, Swets, et al. - 1995
5 Finding Faces – Leung, Burl, et al. - 1995
5 ªFace Recognition: Features vs – Brunelli, Poggio - 1993
4 Dimensionality of Illumination – Nayar, Murase - 1996
2 Eigenfaces vs. Fisherfaces: Recognition Using – Belhumeur, Hespanha, et al. - 1996
2 A Unified Approach to Coding and Interpreting – Lanitis, Taylor, et al. - 1995
2 Face Detection by Fuzzy – Chen, Wu, et al. - 1995