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Extension of p-Laplace Operator for Image Denoising
Abstract : 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 $$\displaystyle \varDelta _{(p,q)}$$.
Cited literature [18 references]
https://hal.inria.fr/hal-01626927
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Submitted on : Tuesday, October 31, 2017 - 2:41:55 PM
Last modification on : Friday, April 22, 2022 - 12:02:10 PM
Long-term archiving on: : Thursday, February 1, 2018 - 1:42:40 PM
Contributor : Hal Ifip Connect in order to contact the contributor
Submitted on : Tuesday, October 31, 2017 - 2:41:55 PM
Last modification on : Friday, April 22, 2022 - 12:02:10 PM
Long-term archiving on: : Thursday, February 1, 2018 - 1:42:40 PM
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447583_1_En_9_Chapter.pdf
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