An accurate operator splitting scheme for nonlinear diffusion filtering

Danny Barash, Ronny Kimmel

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Efficient numerical schemes for nonlinear diffusion filtering based on additive operator splitting (AOS) were introduced in [15]. AOS schemes are efficient and unconditionally stable, yet their accuracy is limited. Future applications of nonlinear diffusion filtering may require better accuracy at the expense of a relatively modest cost in computations and complexity. In this report we explore second order operator-splitting schemes for nonlinear diffusion filters. An accurate extension of the AOS schemes is suggested, which belongs to the alternating direction implicit (ADI) type methods, coupled with a symmetric splitting. The splitting is both additive and multiplicative, and preserves the accuracy of propagating with the Crank-Nicolson scheme in each dimension.

Original languageEnglish
JournalHP Laboratories Technical Report
Issue number48 R.1
StatePublished - 1 Aug 2000
Externally publishedYes


  • Bilateral filtering
  • Nonlinear diffusion filtering
  • Operator-splitting schemes


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