2006
DOI: 10.1109/tip.2006.881945
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Orthogonal Laplacianfaces for Face Recognition

Abstract: Abstract-Following the intuition that the naturally occurring face data may be generated by sampling a probability distribution that has support on or near a submanifold of ambient space, we propose an appearancebased face recognition method, called orthogonal Laplacianface. Our algorithm is based on the locality preserving projection (LPP) algorithm, which aims at finding a linear approximation to the eigenfunctions of the Laplace Beltrami operator on the face manifold. However, LPP is nonorthogonal, and this… Show more

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Cited by 737 publications
(396 citation statements)
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References 17 publications
(25 reference statements)
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“…S UBSPACE learning for computer vision applications has recently attracted a lot of interest in the scientific community [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]. This research has been primarily motivated by the development of a multitude of techniques for the efficient analysis of high-dimensional data via non-linear dimensionality reduction [3], [4], [5], [6], [10], [13].…”
Section: Introductionmentioning
confidence: 99%
“…S UBSPACE learning for computer vision applications has recently attracted a lot of interest in the scientific community [1], [2], [3], [4], [5], [6], [7], [8], [9], [10], [11], [12], [13], [14], [15]. This research has been primarily motivated by the development of a multitude of techniques for the efficient analysis of high-dimensional data via non-linear dimensionality reduction [3], [4], [5], [6], [10], [13].…”
Section: Introductionmentioning
confidence: 99%
“…However, it does not work well if the scale of buildings in visiual scenes changes greatly. In this paper, we switch to Orthogonal Locality Preserving Projections (OLPP) [14], since it is more stable and has more locality preserving power than LPP.…”
Section: B Manifold Learning and Feature Extraction Processmentioning
confidence: 99%
“…Such representative methods include e.g. ISOMAP [2], Locally Linear Embedding (LLE) [3], Locality Preserving Projections [4], Orthogonal Locality Preserving Projections (OLPP) [5] and Neighborhood Preserving Embedding (NPE) [6].…”
Section: Introductionmentioning
confidence: 99%