Journal of East China Normal University(Natural Sc ›› 2007, Vol. 2007 ›› Issue (5): 62-69.

• Article • Previous Articles     Next Articles

Image Restoration Combining the Total Variation Minimization and a SecondOrder Functional(English)

LI Fang   

  1. Department of Mathematics, East China Normal University,Shanghai 200062,China
  • Received:2006-09-29 Revised:2006-12-25 Online:2007-09-25 Published:2007-09-25
  • Contact: LI Fang

Abstract: A new variational model for noise removal was proposed. It combines the total variational (TV) functional with a second order functional,and the corresponding negative gradient flow is a fourth order PDE.The proposed model combines the benefits of the total variation model and the secondorder model,being able to preserve edges while at the same time avoid the staircase effect in smooth regions. Experimental results illustracted advantages of the proposed model.

Key words: total variation, PDE, BV space, negative gradient flow, image restoration, total variation, PDE, BV space, negative gradient flow

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