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• W2057185736 abstract "We analyze the time flow of a modification of the standard Rudin–Osher–Fatemi (ROF) model for image restoration using the bounded variation semi-norm. The solution of the minimization problem is a restored image in the space of bounded variation (BV) recovered from a corrupted one, and the functional may include a more general term S(x,u) rather than the L2 penalty term as used in the original ROF model. These new models were introduced in Osher and Scherzer (2004) [31]. In particular, we will examine the non-differentiable quantile regression penalty. We will define an appropriate weak solution of the time flow and in particular prove the existence in L∞([0,∞);BV) and L∞ stability." @default.
• W2057185736 created "2016-06-24" @default.
• W2057185736 creator A5074756943 @default.
• W2057185736 date "2013-07-01" @default.
• W2057185736 modified "2023-09-27" @default.
• W2057185736 title "Total variation time flow with quantile regression for image restoration" @default.
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• W2057185736 doi "https://doi.org/10.1016/j.jmaa.2013.02.029" @default.
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