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Matlab functions for estimation (denoising/reconstruction) of approximately piecewise constant signals. The functions are reference implementations of the method described in the paper

M. Storath, A. Weinmann, M. Unser. Exact algorithms for L^1-TV regularization of real-valued or circle-valued signals. SIAM Journal on Scientific Computing, 38(1), A614-A630, 2016

Technical report here

See also Pottslab for related functions

Estimation of real-valued signals

Estimates a real-valued signal using the L1-TV model (exact non-iterative solver)

L1 TV Denoising of real-valued signal

Estimation of circle-valued signals

Estimates a circle-valued signal using the L1-TV model (exact non-iterative solver)

L1 TV Denoising of circle-valued signal

Installation and usage

  • Set the Matlab path by calling setPath.m
  • Run the demos of the Demos folder