Issue No. 07 - July (2006 vol. 28)
I. Gijbels , Dept. of Math., Leuven Univ., Heverlee
In this paper, we are interested in the problem of estimating a discontinuous surface from noisy data. A novel procedure for this problem is proposed based on local linear kernel smoothing, in which local neighborhoods are adapted to the local smoothness of the surface measured by the observed data. The procedure can therefore remove noise correctly in continuity regions of the surface and preserve discontinuities at the same time. Since an image can be regarded as a surface of the image intensity function and such a surface has discontinuities at the outlines of objects, this procedure can be applied directly to image denoising. Numerical studies show that it works well in applications, compared to some existing procedures
Image denoising, Smoothing methods, Image restoration, Filtering, Surface fitting, Adaptive filters, Surface cleaning, Application software, Bayesian methods, Kernel
I. Gijbels, A. Lambert and P. Qiu, "Edge-preserving image denoising and estimation of discontinuous surfaces," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 28, no. 7, pp. 1075-1087, 2009.