An Extension to a Filter Implementation of Local Quadratic Surface for Image Noise Estimation

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    Abstract

    Based on regression analysis this paper gives a description for simple image filter design. Specifically 3x3 filter implementations of a quadratic surface, residuals from this surface, gradients and the Laplacian are given. For the residual a 5x5 filter is given also. It is shown that the 3x3 filter for the residual gives low values for horizontal and vertical lines and edges as opposed to diagonal ones. Therefore an extension including a rotated version of the filter for the residual to ensure low values for lines and edges in all directions is suggested. It is also shown that the 5x5 filter for the residual does not give low values for lines and edges in any direction. The performance of six noise models including the ones mentioned above are compared. Based on visual inspection of results from an example using a generated image (with all directions and many spatial frequencies represented) it is concluded that if striping is to be considered as a part of the noise, the residual from a 3x3 median filter seems best. If we are interested in a salt-and-pepper noise estimator the proposed extension to the 3x3 filter for the residual from a quadratic surface seems best. Simple statistics and autocorrelations in the estimated noise images support these findings.
    Original languageEnglish
    Title of host publication10th International Conference on Image Analysis and Processing, ICIAP'99.
    Publication date1999
    Pages119-124
    Publication statusPublished - 1999
    Event10th International Conference on Image Analysis and Processing - Venice, Italy
    Duration: 27 Sep 199929 Sep 1999
    Conference number: 10

    Conference

    Conference10th International Conference on Image Analysis and Processing
    Number10
    CountryItaly
    CityVenice
    Period27/09/199929/09/1999

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