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  • Research Article
  • Open Access

Nonlinear Image Restoration Using a Radial Basis Function Network

EURASIP Journal on Advances in Signal Processing20042004:537237

  • Received: 4 August 2003
  • Published:


We propose a nonlinear image restoration method that uses the generalized radial basis function network (GRBFN) and a regularization method. The GRBFN is used to estimate the nonlinear blurring function. The regularization method is used to recover the original image from the nonlinearly degraded image. We alternately use the two estimation methods to restore the original image from the degraded image. Since the GRBFN approximates the nonlinear blurring function itself, the existence of the inverse of the blurring process does not need to be assured. A method of adjusting the regularization parameter according to image characteristics is also presented for improving restoration performance.

Keywords and phrases

  • radial basis function network
  • regularization
  • nonlinear image restoration
  • steepest descent technique
  • alternate estimation

Authors’ Affiliations

The Research & Development Department, Matsushita Electric Industrial Co., Ltd, Osaka 571-8501, Japan
Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, Osaka 560-8531, Japan
Department of Communications Engineering, Graduale School of Engineering, Osaka University, Osaka 565-0871, Japan


© Icho et al. 2004