Yin, WotaoGoldfarb, DonaldOsher, Stanley2018-06-182018-06-182007-01Yin, Wotao, Goldfarb, Donald and Osher, Stanley. "A Comparison of Three Total Variation Based Texture Extraction Models." (2007) <a href="https://hdl.handle.net/1911/102067">https://hdl.handle.net/1911/102067</a>.https://hdl.handle.net/1911/102067This paper qualitatively compares three recently proposed models for signal/image texture extraction based on total variation minimization:the Meyer, Vese-Osher, and TV-L1 models. We formulate discrete versions of these models as second-order cone programs (SOCPs) which can be solved efficiently by interior-point methods. Our experiments with these models on 1D oscillating signals and 2D images reveal their differences: the Meyer model tends to extract oscillation patterns in the input, the TV-L1 model performs a strict multiscale decomposition, and the Vese-Osher model has properties falling in between the other two models.25 ppengTechnical reportTR07-01