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1 International Journal of Applied Mathematics and Computer Science

1 2008

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Nonlinear image processing and filtering: a unified approach based on vertically weighted regression

Rafajłowicz E., Pawlak M., Steland A.

International Journal of Applied Mathematics and Computer Science

2008

Vol. 18, no 1

49-61

A class of nonparametric smoothing kernel methods for image processing and filtering that possess edge-preserving properties is examined. The proposed approach is a nonlinearly modified version of the classical nonparametric regression estimates utilizing the concept of vertical weighting. The method unifies a number of known nonlinear image filtering and denoising algorithms such as bilateral and steering kernel filters. It is shown that vertically weighted filters can be realized by a structure of three interconnected radial basis function (RBF) networks. We also assess the performance of the algorithm by studying industrial images.