Combining PCA-based datasets without retraining of the basis vector set

A method of combining multiple PCA datasets together with re-projecting the dataset into the new PCA space is presented which does not require preservation of the original datasets from which the PCA descriptors were derived. Practical applications based on face recognition are described where (i) multiple PCA datasets can be combined and (ii) an existing PCA dataset can be augmented with a new set of original data samples. Test results performed on a database of 560 facial regions indicate that this method yields practically identical results with the classical approach of retraining over the original dataset.

[1]  P. Corcoran,et al.  In-camera person-indexing of digital images , 2006, 2006 Digest of Technical Papers International Conference on Consumer Electronics.

[2]  Ralph R. Martin,et al.  Adding and Subtracting Eigenspaces , 1999, BMVC.

[3]  Peter M. Corcoran,et al.  Automated sorting of consumer image collections using face and peripheral region image classifiers , 2005, IEEE Transactions on Consumer Electronics.

[4]  Yongmin Li,et al.  On incremental and robust subspace learning , 2004, Pattern Recognit..

[5]  Gene H. Golub,et al.  Methods for modifying matrix factorizations , 1972, Milestones in Matrix Computation.

[6]  Ales Leonardis,et al.  Incremental PCA for on-line visual learning and recognition , 2002, Object recognition supported by user interaction for service robots.

[7]  B. S. Manjunath,et al.  An Eigenspace Update Algorithm for Image Analysis , 1997, CVGIP Graph. Model. Image Process..

[8]  J. Bunch,et al.  Updating the singular value decomposition , 1978 .

[9]  Ralph R. Martin,et al.  Merging and Splitting Eigenspace Models , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Reinhold Mannshardt One-step methods of any order for ordinary differential equations with discontinuous right-hand sides , 1978 .