Compound Mutual Subspace Method for 3D Object Recognition: A Theoretical Extension of Mutual Subspace Method

  • Naoki Akihiro
  • Kazuhiro Fukui
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6469)


In this paper, we propose the Compound Mutual Subspace Method (CPMSM) as a theoretical extension of the Mutual Subspace Method, which can efficiently handle multiple sets of patterns by representing them as subspaces. The proposed method is based on the observation that there are two types of subspace perturbations. One type is due to variations within a class and is therefore defined as “within-class subspace”. The other type, named “between-class subspace”, is characterized by differences between two classes. Our key idea for CPMSM is to suppress within-class subspace perturbations while emphasizing between-class subspace perturbations in measuring the similarity between two subspaces. The validity of CPMSM is demonstrated through an evaluation experiment using face images from the public database VidTIMIT.


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© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Naoki Akihiro
    • 1
  • Kazuhiro Fukui
    • 1
  1. 1.Graduate School of Systems and Information EngineeringUniversity of TsukubaJapan

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