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Nonlinear PCA/ICA for the Structure from Motion Problem

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3195))

Abstract

Recovering both camera motion and object shape from multiple images, called structure from motion problem, is an important and essential problem in computer vision. Generally, the result of the structure from motion problem has an ambiguity represented by a three-dimensional rotation matrix. We present two kinds of specific criteria such as independence of parameters to fix the ambiguity by choosing an appropriate rotation matrix in the sense of computer vision. Once some criterion is defined, the fixing of the ambiguity is reduced to a nonlinear extension of the PCA/ICA. We examine the efficiency through synthetic experiments.

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References

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© 2004 Springer-Verlag Berlin Heidelberg

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Fujiki, J., Akaho, S., Murata, N. (2004). Nonlinear PCA/ICA for the Structure from Motion Problem. In: Puntonet, C.G., Prieto, A. (eds) Independent Component Analysis and Blind Signal Separation. ICA 2004. Lecture Notes in Computer Science, vol 3195. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30110-3_95

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  • DOI: https://doi.org/10.1007/978-3-540-30110-3_95

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23056-4

  • Online ISBN: 978-3-540-30110-3

  • eBook Packages: Springer Book Archive

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