Liu Pan

activity

20162019

most citedReal order (an)-isotropic total variation in image processing - Part II: Learning of optimal structures

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.OC2019★ 2 cited

Real order (an)-isotropic total variation in image processing - Part II: Learning of optimal structures

Pan Liu, Xin Yang Lu

This article is the second work in our series of papers dedicated to image processing models based on the fractional order total variation $T V^{r}$ . In our first work of this series,…

math.AP2018★ 2 cited

Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties

Pan Liu, Xin Yang Lu

In this paper, a variational, multi-dimensional model for image reconstruction is proposed, in which the regularization term consists of the $r$ -order (an)-isotropic total variatio…

math.AP2016

One dimensional fractional order $T G V$ : Gamma-convergence and bilevel training scheme

Elisa Davoli, Pan Liu

New fractional $r$ -order seminorms, $T G V^{r}$ , $r \in R$ , $r \geq 1$ , are proposed in the one-dimensional (1D) setting, as a generalization of the integer order $T G V^{k}$ -seminor…

Real order (an)-isotropic total variation in image processing - Part II: Learning of optimal structures

Real order (an)-isotropic total variation in image processing - Part I: analytical analysis and functional properties

One dimensional fractional order TGV: Gamma-convergence and bilevel training scheme

One dimensional fractional order $T G V$ : Gamma-convergence and bilevel training scheme