A representative subspace is significant for image analysis, while the corresponding techniques often suffer from the curse of dimensionality dilemma. In this paper, we propose a new algorithm, called concurrent subspaces analysis (CSA), to derive representative subspaces by encoding image objects as 2/sup nd/ or even higher order tensors. In CSA, an original higher dimensional tensor is transformed into a lower dimensional one using multiple concurrent subspaces that characterize the most representative information of different dimensions, respectively. Moreover, an efficient procedure is provided to learn these subspaces in an iterative manner. As analyzed in this paper, each sub-step of CSA takes the column vectors of the matrices, which are acquired from the k-mode unfolding of the tensors, as the new objects to be analyzed, thus the curse of dimensionality dilemma can be effectively avoided. The extensive experiments on the 3/sup rd/ order tensor data, simulated video sequences and Gabor filtered digital number image database show that CSA outperforms principal component analysis in terms of both reconstruction and classification capability.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Concurrent subspaces analysis


    Beteiligte:
    Dong Xu, (Autor:in) / Shuicheng Yan, (Autor:in) / Lei Zhang, (Autor:in) / Hong-Jiang Zhang, (Autor:in) / Zhengkai Liu, (Autor:in) / Heung-Yeung Shum, (Autor:in)


    Erscheinungsdatum :

    2005-01-01


    Format / Umfang :

    445096 byte





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Lambertian Reflectance and Linear Subspaces

    Basri, R. / Jacobs, D. / IEEE | British Library Conference Proceedings | 2001


    Color Subspaces as Photometric Invariants

    Zickler, T. / Mallick, S. P. / Kriegman, D. J. et al. | British Library Online Contents | 2008


    Lambertian reflectance and linear subspaces

    Basri, R. / Jacobs, D. | IEEE | 2001


    Active Subspaces Applied to Range Safety Analysis and Optimization

    Capristan, Francisco M. / Alonso, Juan J. | AIAA | 2015


    Active Subspaces of Airfoil Shape Parameterizations

    Grey, Zachary J. / Constantine, Paul G. | AIAA | 2018