Commonly used fractional order variational models in imaging involve minimization of regularizers of fractional order between 1 and 2, resulting in fractional partial differential equations of order between 2 and 4. They are particularly more advantageous in representing smooth images than high order integer derivatives based regularizers both in theory and in practice. This talk will review such works and present some recent progresses in the topic.

This presentation is part of Minisymposium “MS15 - Nonlinear Diffusion: Models, Extensions and Algorithms (2 parts)”
organized by: Ke Chen (University of Liverpool) , Joachim Weickert (Saarland University) , Xue-Cheng Tai (Hong Kong Baptist University) .

Authors:

Ke Chen (University of Liverpool)

Keywords:

image reconstruction, image registration, inverse problems, nonlinear optimization, partial differential equation models