Figure 1 illustrates the qualitative differences between these various approaches on a simple
one-dimensional test case. It is not the goal of this paper to carry out an exhaustive comparison
of TV with standard denoising methods. For that, see 15] and the analysis in [5]. Suffice it to
say that TV denoising is extremely effective for recovering "blocky," possibly discontinuous,
functions from noisy data. It is the goal of this paper to present a new algorithm for TV
denoising and to compare it with some existing TV-based methods.