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TV-L1 Image Denoising Algorithm

version (62.4 KB) by Manolis Lourakis
Easy to read function for TV-L1 image denoising


Updated 15 Jun 2017

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Image denoising using the TV-L1 model optimized with a primal-dual algorithm.
The function minimizes the following denoising model wrt I:
sum(sqrt(Ix^2 + Iy^2)) + lambda*||I - g||
where I is the denoised image, Ix, Iy its gradient, g is the observed image and lambda
is the regularization coefficient. Smaller values for lambda result in more aggressive
denoising. For more details, see
* A. Mordvintsev: ROF and TV-L1 denoising with Primal-Dual algorithm,
also archived as
* Chambolle et al. An introduction to Total Variation for Image Analysis, 2009. <hal-00437581>

Comments and Ratings (11)


Added archived tutorial page.

Added hint about lambda.

Updated description.

MATLAB Release Compatibility
Created with R2013a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Inspired by: ROF Denoising Algorithm

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