tvreg: Variational Imaging Methods. The tvreg package performs total variation (TV) regularized image denoising, deconvolution, and inpainting. Three different noise models are supported: Gaussian (L2), Laplace (L1), and Poisson. The implementation solves the general TV restoration problem: min_u TV(u) + int lambda F(K*u,f) dx .to perform denoising, deconvolution, and inpainting as special cases. It is efficiently solved using the recent split Bregman method. Also included is an efficient implementation of Chan-Vese two-phase segmentation. All functions support grayscale, color, and arbitrary multichannel images.

References in zbMATH (referenced in 13 articles )

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  1. Borkowski, Dariusz: Forward and backward filtering based on backward stochastic differential equations (2016)
  2. Lu, Wenqi; Duan, Jinming; Qiu, Zhaowen; Pan, Zhenkuan; Liu, Ryan Wen; Bai, Li: Implementation of high-order variational models made easy for image processing (2016)
  3. Maiseli, Baraka Jacob; Gao, Huijun: Robust edge detector based on anisotropic diffusion-driven process (2016)
  4. Coll, Bartomeu; Duran, Joan; Sbert, Catalina: Half-linear regularization for nonconvex image restoration models (2015)
  5. Batard, Thomas; Bertalmío, Marcelo: On covariant derivatives and their applications to image regularization (2014)
  6. Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C.B.: Total variation regularization in measurement and image space for PET reconstruction (2014)
  7. Maiseli, Baraka; Wu, Chuan; Mei, Jiangyuan; Liu, Qiang; Gao, Huijun: A robust super-resolution method with improved high-frequency components estimation and aliasing correction capabilities (2014)
  8. Petro, Ana Belén; Sbert, Catalina; Morel, Jean-Michel: Automatic correction of image intensity non-uniformity by the simplest total variation model (2014)
  9. Storath, Martin; Weinmann, Andreas: Fast partitioning of vector-valued images (2014)
  10. Weinmann, Andreas; Demaret, Laurent; Storath, Martin: Total variation regularization for manifold-valued data (2014)
  11. Lanza, Alessandro; Morigi, Serena; Sgallari, Fiorella; Yezzi, Anthony J.: Variational image denoising based on autocorrelation whiteness (2013)
  12. Lebrun, M.; Buades, A.; Morel, J.M.: A nonlocal Bayesian image denoising algorithm (2013)
  13. Louchet, Cécile; Moisan, Lionel: Posterior expectation of the total variation model: properties and experiments (2013)