Manifold Pursuit: A New Approach to Appearance Based Recognition

Authors:
Amnon Shashua;Anat Levin;Shai Avidan
Affiliations:
-;-;-
Venue:
ICPR '02 Proceedings of the 16 th International Conference on Pattern Recognition (ICPR'02) Volume 3 - Volume 3
Year:
2002

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Abstract

Manifold Pursuit (MP) extends Principal Component Analysis to be invariant to a desired group of image-plane transformations of an ensemble of un-aligned images.We derive a simple technique for projecting a misaligned target image onto the linear subspace defined by the superpositions of a collection of model images. We show that it is possible to generate a fixed projection matrix which would separate the projected image into the aligned projected target and a residual image which accounts for the misalignment. An iterative procedure is then introduced for eliminating the residual image and leaving the correctaligned projected target image.Taken together, we demonstrate a simple and effective technique for obtaining invariance to image-plane transformations within a linear dimensionality reduction approach.