Journal of Systems Engineering and Electronics ›› 2009, Vol. 20 ›› Issue (2): 254-259.

• ELECTRONICS TECHNOLOGY • Previous Articles     Next Articles

Adaptive variational models for image decomposition combining staircase reduction and texture extraction

Jiang Lingling1, Yin Haiqing2 & Feng Xiangchu2   

  1. 1. School of Mathematics and Computational Science, China Univ. of Petroleum, Dongying 257061, P. R. China;
    2. School of Science, Xidian Univ., Xi’an 710071, P. R. China
  • Online:2009-04-17 Published:2010-01-03


New models for image decomposition are proposed which separate an image into a cartoon, consisting only of geometric objects, and an oscillatory component, consisting of textures or noise. The proposed models are given in a variational formulation with adaptive regularization norms for both the cartoon and texture parts. The adaptive behavior preserves key features such as object boundaries and textures while avoiding staircasing in what should be smooth regions. This decomposition is computed by minimizing a convex functional which depends on the two variables u and v, alternatively in each variable. Experimental results and comparisons to validate the proposed models are presented.