A PDE variational approach to image denoising and restoration

Tudor Barbu, Viorel Barbu, Veronica Biga, Daniel Coca

Research output: Contribution to journalArticlepeer-review


In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features.

Original languageEnglish
Pages (from-to)1351-1361
Number of pages11
JournalNonlinear Analysis: Real World Applications
Issue number3
Publication statusPublished - Jun 2009


  • Convex functions
  • Image restoration
  • Nonlinear diffusion
  • Sobolev space


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