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Wavelet Based Noise Reduction by Identification of Correlations

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Pattern Recognition (DAGM 2006)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4174))

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Abstract

In this paper we present a novel wavelet based method for edge preserving noise reduction. In contrast to most common methods, the algorithm introduced here does not work on single input data. It takes two or more spatially identical images, which are both impaired by noise. Assuming the statistical independence of noise in the different images, correlation computations can be used in order to preserve structures while reducing noise. Different methods for correlation analysis have been investigated, on the one hand based directly on the original input images and on the other hand taking into account the wavelet representation of the input data. The presented approach proves to be suited for the application in computed tomography, where high noise reduction rates of approximately 50% can be achieved without loss of structure information.

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© 2006 Springer-Verlag Berlin Heidelberg

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Borsdorf, A., Raupach, R., Hornegger, J. (2006). Wavelet Based Noise Reduction by Identification of Correlations. In: Franke, K., Müller, KR., Nickolay, B., Schäfer, R. (eds) Pattern Recognition. DAGM 2006. Lecture Notes in Computer Science, vol 4174. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11861898_3

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  • DOI: https://doi.org/10.1007/11861898_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44412-1

  • Online ISBN: 978-3-540-44414-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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