Subspace Regression: Predicting a Subspace from One Sample

Framework

People

Abstract

Subspace methods have been extensively used to solve a variety of problems in computer vision including object detection, recognition, and tracking. Typically subspaces are learned from a training set that contains different configurations of a particular object (e.g., variations on shape and appearance). However, in some situations it is not possible to have access to data with multiple configurations of the object. For instance, consider the problem of building a person-specific subspace of the pose variation by having the only frontal face. We refer to this problem as subspace regression.

Subspace regression is a challenging problem for two main reasons: (i) it involves a mapping between high-dimensional spaces, (ii) it is unclear how to parameterize the mapping between one sample and a subspace. We propose four methods to learn a mapping from one sample to a subspace: Individual Mapping on Images, Direct Mapping to Subspaces, Regression on Subspaces, and Direct Subspace Alignment. We show the validity of our approaches in predicting a person-specific face subspace of pose or illumination, and its applications to face recognition and tracking.

Citation

Paper thumbnail Minyoung Kim, Zengyin Zhang, Fernando de la Torre and Wende Zhang
Subspace Regression: Predicting a Subspace from One Sample
Asian Conference on Computer Vision (ACCV), 2010
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Results

Acknowledgements and Funding

This research is supported by:

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Human Sensing Lab