一维向量Rudin-Osher-Fatemi型问题的局部估计
Local estimates for vectorial Rudin-Osher-Fatemi type problems in one dimension
摘要：
我们考虑了一维向量值环境中具有一般正则化项的Rudin-Osher-Fatemi变分去噪模型。我们得到的局部估计的奇异部分的变化测度的极小数据的奇异部分。在齐次正则化的情况下，我们证明了局部估计的整体变化措施的最小化和推导出一个类似的结果的梯度流的正则化。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
