Application of the Karhunen-Loeve Procedure for the Characterization of Human Faces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Introduction to statistical pattern recognition (2nd ed.)
Introduction to statistical pattern recognition (2nd ed.)
Iterative SVD-based methods for ill-posed problems
SIAM Journal on Scientific Computing
Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Illumination Planning for Object Recognition Using Parametric Eigenspaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
Moving object recognition in eigenspace representation: gait analysis and lip reading
Pattern Recognition Letters
Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection
IEEE Transactions on Pattern Analysis and Machine Intelligence
An eigenspace update algorithm for image analysis
Graphical Models and Image Processing
Generalized discrete spherical harmonic transforms
Journal of Computational Physics
Detecting Faces in Images: A Survey
IEEE Transactions on Pattern Analysis and Machine Intelligence
On Computing the Points and Weights for Gauss-Legendre Quadrature
SIAM Journal on Scientific Computing
Face Recognition: Features Versus Templates
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object Recognition Using Appearance-Based Parts and Relations
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-based similarity search in 3D object databases
ACM Computing Surveys (CSUR)
Rotation Recovery from Spherical Images without Correspondences
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatiospectral Concentration on a Sphere
SIAM Review
Journal of Cognitive Neuroscience
SSIAI '08 Proceedings of the 2008 IEEE Southwest Symposium on Image Analysis and Interpretation
Aerial Pose Detection of 3-D Objects Using Hemispherical Harmonics
SSIAI '08 Proceedings of the 2008 IEEE Southwest Symposium on Image Analysis and Interpretation
Pattern Analysis & Applications
Eigen-harmonics faces: face recognition under generic lighting
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
IEEE Transactions on Image Processing
Fast eigenspace decomposition of correlated images
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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Eigendecomposition represents one computationally efficient approach for dealing with object detection and pose estimation, as well as other vision-based problems, and has been applied to sets of correlated images for this purpose. The major drawback in using eigendecomposition is the off line computational expense incurred by computing the desired subspace. This off line expense increases drastically as the number of correlated images becomes large (which is the case when doing fully general 3-D pose estimation). Previous work has shown that for data correlated on S1, Fourier analysis can help reduce the computational burden of this off line expense. This paper presents a method for extending this technique to data correlated on S2 as well as SO(3) by sampling the sphere appropriately. An algorithm is then developed for reducing the off line computational burden associated with computing the eigenspace by exploiting the spectral information of this spherical data set using spherical harmonics and Wigner-D functions. Experimental results are presented to compare the proposed algorithm to the true eigendecomposition, as well as assess the computational savings.