On Tensor-Based PDEs and their Corresponding Variational Formulations with Application to Color Image Denoising
2012 (English)Conference paper (Other academic)
The case when a partial differential equation (PDE) can be considered as an Euler-Lagrange (E-L) equation of an energy functional, consisting of a data term and a smoothness term is investigated. We show the necessary conditions for a PDE to be the E-L equation for a corresponding functional. This energy functional is applied to a color image denoising problem and it is shown that the method compares favorably to current state-of-the-art color image denoising techniques.
Place, publisher, year, edition, pages
Springer Berlin/Heidelberg, 2012. 215-228 p.
Lecture Notes in Computer Science, ISSN 0302-9743 (print), 1611-3349 (online) ; 7574
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-79603DOI: 10.1007/978-3-642-33712-3_16ISBN: 978-3-642-33711-6 (print)ISBN: 978-3-642-33712-3 (online)OAI: oai:DiVA.org:liu-79603DiVA: diva2:543914
ECCV 2012: 12th European Conference on Computer Vision, 7-12 October, Firenze, Italy