J4 ›› 2013, Vol. 40 ›› Issue (3): 132-138.doi: 10.3969/j.issn.1001-2400.2013.03.020

• Original Articles • Previous Articles     Next Articles

Model based on the integro-differential equation  for multiplicative noise removal

BAI Jian;FENG Xiangchu   

  1. (School of Science, Xidian Univ., Xi'an  710071, China)
  • Received:2012-10-10 Online:2013-06-20 Published:2013-07-29
  • Contact: BAI Jian E-mail:keywhite29@126.com

Abstract:

Multiplicative noise removal is an important research topic on image processing. This paper presents a novel integro-differential equation approach for removing multiplicative noise. Under the assumption that multiplicative noise follows a Gamma distribution, we firstly discuss the classical AA model, and then in order to arrive at the novel integro-differential equation, integrate in inverse scale space a succession of refined ‘slices’ of the image. The novel integro-differential equation includes a monotone increasing scaling function. By choosing an adaptive scaling function, this equation can remove multiplicative noise efficiently. Finally, the experimental results demonstrate the better performance of the proposed model.

Key words: image denoising, total variation minimization, multiplicative noise, integro-differential equation

CLC Number: 

  • TP751