DocumentCode :
3223019
Title :
An extension to a filter implementation of a local quadratic surface for image noise estimation
Author :
Nielsen, Allan Aasbjerg
Author_Institution :
Dept. of Math. Modelling, Tech. Univ., Lyngby
fYear :
1999
fDate :
1999
Firstpage :
119
Lastpage :
124
Abstract :
An important task in image analysis is the estimation of noise content. Based on regression analysis this paper gives a description for simple image filter design. Specifically 3×3 filter implementations of a quadratic surface, residuals from this surface, gradients and the Laplacian are given. For the residual a 5×5 filter is given also. It is shown that the 3×3 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 5×5 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 3×3 median filter seems best. If we are interested in a salt-and-pepper noise estimator the proposed extension to the 3×3 filter for the residual from a quadratic surface seems best. Simple statistics and autocorrelations in the estimated noise images support these findings
Keywords :
correlation methods; filtering theory; image processing; median filters; parameter estimation; statistical analysis; autocorrelations; filter implementation; generated image; gradients; image analysis; image noise estimation; local quadratic surface; median filter; quadratic surface; regression analysis; residuals; rotated version; salt-and-pepper noise estimator; statistics; striping; Autocorrelation; Filters; Frequency; Image edge detection; Image generation; Inspection; Laplace equations; Noise generators; Regression analysis; Statistics;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Image Analysis and Processing, 1999. Proceedings. International Conference on
Conference_Location :
Venice
Print_ISBN :
0-7695-0040-4
Type :
conf
DOI :
10.1109/ICIAP.1999.797581
Filename :
797581
Link To Document :
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