
We introduce the notion of subspace learning from image gradient orientations for appearance-based object recognition. As image data are typically noisy and noise is substantially different from Gaussian, traditional subspace learning from pixel intensities very often fails to estimate reliably the low-dimensional subspace of a given data population. We show that replacing pixel intensities with gradient orientations and the ℓ₂ norm with a cosine-based distance measure offers, to some extend, a remedy to this problem. Within this framework, which we coin Image Gradient Orientations (IGO) subspace learning, we first formulate and study the properties of Principal Component Analysis of image gradient orientations (IGO-PCA). We then show its connection to previously proposed robust PCA techniques both theoretically and experimentally. Finally, we derive a number of other popular subspace learning techniques, namely, Linear Discriminant Analysis (LDA), Locally Linear Embedding (LLE), and Laplacian Eigenmaps (LE). Experimental results show that our algorithms significantly outperform popular methods such as Gabor features and Local Binary Patterns and achieve state-of-the-art performance for difficult problems such as illumination and occlusion-robust face recognition. In addition to this, the proposed IGO-methods require the eigendecomposition of simple covariance matrices and are as computationally efficient as their corresponding ℓ₂ norm intensity-based counterparts. Matlab code for the methods presented in this paper can be found at http://ibug.doc.ic.ac.uk/resources.
SPARSE REPRESENTATION, Technology, HMI-HF: Human Factors, ILLUMINATION, 0801 Artificial Intelligence And Image Processing, EIGENFACES, Face Recognition, EWI-22812, 510, FEATURE-EXTRACTION, Engineering, EC Grant Agreement nr.: ERC-2007-STG-203143 (MAHNOB), Artificial Intelligence, robust principal component analysis, I440 - Computer vision, FACE-RECOGNITION ALGORITHMS, EC Grant Agreement nr.: FP7/2007-2013, nonlinear dimensionality reduction, Artificial Intelligence & Image Processing, DISCRIMINANT-ANALYSIS, LAPLACIANFACES, Science & Technology, PROJECTION, METIS-296196, IR-84211, 0906 Electrical And Electronic Engineering, discriminant analysis, non-linear dimensionality reduction, DIMENSIONALITY REDUCTION, 004, Image gradient orientations, 0806 Information Systems, Computer Science, image gradient orientations, robust principal component analysis, discriminant analysis, non-linear dimensionalityreduction, face recognition, REGISTRATION, image gradient orientations, Electrical & Electronic, EC Grant Agreement nr.: FP7/288235, face recognition
SPARSE REPRESENTATION, Technology, HMI-HF: Human Factors, ILLUMINATION, 0801 Artificial Intelligence And Image Processing, EIGENFACES, Face Recognition, EWI-22812, 510, FEATURE-EXTRACTION, Engineering, EC Grant Agreement nr.: ERC-2007-STG-203143 (MAHNOB), Artificial Intelligence, robust principal component analysis, I440 - Computer vision, FACE-RECOGNITION ALGORITHMS, EC Grant Agreement nr.: FP7/2007-2013, nonlinear dimensionality reduction, Artificial Intelligence & Image Processing, DISCRIMINANT-ANALYSIS, LAPLACIANFACES, Science & Technology, PROJECTION, METIS-296196, IR-84211, 0906 Electrical And Electronic Engineering, discriminant analysis, non-linear dimensionality reduction, DIMENSIONALITY REDUCTION, 004, Image gradient orientations, 0806 Information Systems, Computer Science, image gradient orientations, robust principal component analysis, discriminant analysis, non-linear dimensionalityreduction, face recognition, REGISTRATION, image gradient orientations, Electrical & Electronic, EC Grant Agreement nr.: FP7/288235, face recognition
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