论文标题
矢量性鲁丁 - Xher-Fatemi类型问题的本地估计值
Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension
论文作者
论文摘要
我们考虑在一维矢量价值设置中具有一般正规化项的鲁丁 - Xher-osher-fatemi变异denoising模型。我们从最小化度量的变化度量的变化量表的奇异部分来获得了基于数据的奇异部分的局部估计。在均质正常化程序的情况下，我们证明了对最小化器的整个变化量度的局部估计，并推断出正常化器梯度流的类似结果。
We consider the Rudin-Osher-Fatemi variational denoising model with general regularizing term in one-dimensional, vector-valued setting. We obtain local estimates on the singular part of the variation measure of the minimizer in terms of the singular part of the variation measure of the datum. In the case of homogeneous regularizer, we prove local estimates on the whole variation measure of the minimizer and deduce an analogous result for the gradient flow of the regularizer.
