%0 Conference Proceedings
%T Extension of p-Laplace Operator for Image Denoising
%+ Linköping University (LIU)
%+ Malmö Högskola = Malmö University
%+ Universität Heidelberg [Heidelberg] = Heidelberg University
%A Baravdish, George
%A Cheng, Yuanji
%A Svensson, Olof
%A Åström, Freddie
%< avec comité de lecture
%( IFIP Advances in Information and Communication Technology
%B 27th IFIP Conference on System Modeling and Optimization (CSMO)
%C Sophia Antipolis, France
%Y Lorena Bociu
%Y Jean-Antoine Désidéri
%Y Abderrahmane Habbal
%I Springer International Publishing
%3 System Modeling and Optimization
%V AICT-494
%P 107-116
%8 2015-06-29
%D 2015
%R 10.1007/978-3-319-55795-3_9
%K p-Laplace operator
%K Parabolic equations
%K Image denoising
%K Anisotropic diffusion
%K Inverse problems
%Z Computer Science [cs]Conference papers
%X In this work we introduce a novel operator $$\displaystyle \varDelta _{(p,q)}$$ as an extended family of operators that generalize the p-Laplace operator. The operator is derived with an emphasis on image processing applications, and particularly, with a focus on image denoising applications. We propose a non-linear transition function, coupling p and q, which yields a non-linear filtering scheme analogous to adaptive spatially dependent total variation and linear filtering. Well-posedness of the final parabolic PDE is established via pertubation theory and connection to classical results in functional analysis. Numerical results demonstrates the applicability of the novel operator $$\displaystyle \varDelta _{(p,q)}$$.
%G English
%Z TC 7
%2 https://inria.hal.science/hal-01626927/document
%2 https://inria.hal.science/hal-01626927/file/447583_1_En_9_Chapter.pdf
%L hal-01626927
%U https://inria.hal.science/hal-01626927
%~ IFIP
%~ IFIP-AICT
%~ IFIP-TC
%~ IFIP-TC7
%~ IFIP-CSMO
%~ IFIP-AICT-494