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Multi-channel Representations of Max-Plus Algebra Based Wavelet Transform and Their Application to Video Coding

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 196))

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Abstract

As a non-linear wavelet transform, morphological wavelets have been proposed in the setting of the mathematical morphology [5, 6]. A simplification of morphological wavelets has been proposed [7] and it can be represented based on max-plus algebra [3, 4] which employ the maximum and standard sum operations instead of standard multiplication and sum operations, respectively. We call it a max-plus algebra based wavelet transform.

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References

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Nobuhara, H., Bede, B. (2009). Multi-channel Representations of Max-Plus Algebra Based Wavelet Transform and Their Application to Video Coding. In: Balas, V.E., Fodor, J., Várkonyi-Kóczy, A.R. (eds) Soft Computing Based Modeling in Intelligent Systems. Studies in Computational Intelligence, vol 196. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00448-3_7

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  • DOI: https://doi.org/10.1007/978-3-642-00448-3_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00447-6

  • Online ISBN: 978-3-642-00448-3

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