International Journal of applied mathematics and computer science

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Paper details

Number 1 - March 2008
Volume 18 - 2008

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

Ewaryst Rafajłowicz, Mirosław Pawlak, Angsar Steland

Abstract
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.

Keywords
image filtering, vertically weighted regression, nonlinear filters

DOI
10.2478/v10006-008-0005-z