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Signal Filtering: Noise Reduction and Detail Enhancement

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Handbook of Visual Display Technology

Abstract

In most display systems and imaging systems some form of image manipulation is necessary. This section discusses the use of operators that can be used to remove noise or provide detail enhancement. The techniques discussed here can be used both to correct the information to be displayed and to compensate for deficiencies in the display system. First linear shift-invariant operators will be presented from a mathematical point of view. Their application using convolution and Fourier techniques will be discussed. Several examples of linear shift-invariant operators, specifically those that can be used to smooth or enhance edges in images, will be presented. The section concludes with a presentation of order statistic filters and an example of an adaptive filter.

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References

  1. Nagao M, Matsuyama T (1979) Edge preserving smoothing. Comput Graph Image Process 9(4):394–407

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Further Reading

  • Brigham EO (1988) The fast Fourier transform and its applications. Prentice Hall, Upper Saddle River

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  • Gaskill JD (1978) Linear systems, Fourier transformations, and optics. Wiley, New York

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  • Zonst AE (1995) Understanding the FFT, 2nd edn., Revised. Citrus Press, Titusville, FL

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For Additional Image Manipulation Procedures Please See

  • Gonzalez RC, Woods RE (2008) Digital image processing, 3rd edn. Prentice Hall, Upper Saddle River

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  • Russ JC (2002) The image processing handbook, 4th edn. CRC Press, Boca Raton

    MATH  Google Scholar 

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Correspondence to Karl G. Baum Ph.D. .

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© 2012 Springer-Verlag Berlin Heidelberg

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Baum, K.G. (2012). Signal Filtering: Noise Reduction and Detail Enhancement. In: Chen, J., Cranton, W., Fihn, M. (eds) Handbook of Visual Display Technology. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79567-4_27

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