Finite element approximation of a forward and backward anisotropic diffusion model in image denoising and form generalization | Zendy

Ebmeyer Carsten | Zendy; Vogelgesang Jens | Zendy

Premium

Finite element approximation of a forward and backward anisotropic diffusion model in image denoising and form generalization

Author(s) -

Ebmeyer Carsten,

Vogelgesang Jens

Publication year - 2008

Publication title -

numerical methods for partial differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.901

H-Index - 61

eISSN - 1098-2426

pISSN - 0749-159X

DOI - 10.1002/num.20284

Subject(s) - mathematics , piecewise , finite element method , mathematical analysis , generalization , anisotropic diffusion , partial differential equation , backward euler method , limit (mathematics) , a priori and a posteriori , euler equations , diffusion , image (mathematics) , philosophy , physics , epistemology , artificial intelligence , computer science , thermodynamics

A new forward–backward anisotropic diffusion model is introduced. The two limit cases are the Perona‐Malik equation and the Total Variation flow model. A fully discrete finite element scheme is studied using C 0 ‐piecewise linear elements in space and the backward Euler difference scheme in time. A priori estimates are proven. Numerical results in image denoising and form generalization are presented.© 2007 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2008

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research