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A software framework for tensor representation and decompositions for object recognition

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The paper presents a framework for object detection by the tensor decomposition, called Higher Order Singular Value Decomposition (HOSVD), of the space of the training patterns. This allows a direct control over a number of dimensions inherent to the pattern space. The pattern space can be build from the available prototypes, as well as their geometrically deformed versions. Such strategy allows recognition of shifted and rotated patterns. In the paper a software framework for efficient representation and manipulations of tensors is also discussed. Tensors are stored in the matricized form with simultaneous abstraction imposed on tensor indices thanks to the proxy design pattern. This allows minimization of data copying, e.g. in the process of tensor decomposition. Finally, the whole framework was tested in the system of driver drowsiness control in which it is used for eye recognition. The latter is called TensorEye processing.
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Bibliografia
  • [1] S. Aja-Fernandez, R. de Luis Garcia, D. Tao, X. Li. (eds): Tensors in Image Processing and Computer Vision. Springer 2009.
  • [2] B. W. Bader, T. G. Kolda. MATLAB Tensor Classes for Fast Algorithm Prototyping. ACM Transactions on Mathematical Software, Vol. 32, No 4, 635-653, 2006.
  • [3] A. Cichocki, R. Zdunek , A. H. Phan, S-I. Amari. Nonnegative Matrix and Tensor Factorizations. Wiley 2009.
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  • [7] B. Cyganek. Software Framework for Efficient Tensor Representation and Decompositions for Pattern Recognition in Computer Vision, In: R. S. Choras (Ed.): Image Processing and Communication Challenges 2, Advances in Soft Computing, 185-192, Springer, 2010.
  • [8] E. Gamma, R. Helm, R. Johnson, J. Vlissides. Design Patterns. Elements of Reusable Object-Oriented Software. Addison-Wesley 1995.
  • [9] http://www.wiley. com/legacy/wileychi/cyganek3dcomputer/supp/HIL_Manual_01.pdf
  • [10] L. de Lathauwer. Signal Processing Based on Multilinear Algebra. PhD dissertation, Katholieke Universiteit Leuven, 1997.
  • [11] L. de Lathauwer., B. de Moor, J. Vandewalle. A Multilinear Singular Value Decomposition. SIAM Journal Matrix Analysis and Applications, Vol. 21, No. 4, 1253-1278, 2000.
  • [12] T. D’Orazio, M. Leo, C. Guaragnella, A. Distante. A visual approach for driver inattention detection. Pattern Recognition, Vol. 40, 2341-2355, 2007.
  • [13] W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery. Numerical Recipes in C. The Art of Scientific Computing. Second Edition. Cambridge University Press 1999.
  • [14] B. Savas, L. Elden. Handwritten digit classification using higher order singular value decomposition. Pattern Recognition, Vol. 40, 993-1003, 2007.
  • [15] M. A. O. Vasilescu, D. Terzopoulos. Multilinear analysis of image ensembles: TensorFaces. European Conference on Computer Vision, Denmark, 447-460, 2002.
  • [16] Z. Zhua, Q. Jib. Robust real-time eye detection and tracking under variable lighting conditions and various face orientations, Computer Vision and Image Understanding 98, 124-154, 2005.
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bwmeta1.element.baztech-article-BAT5-0057-0010
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