Nonlinear diffusion and its various extensions covering a large class of image processing models play important roles in practical tasks such as image restoration, inpainting, segmentation, registration. There are many research groups employing and developing essentially similar and related models and tools. This mini-symposium aims to bring together such researchers together to showcase the state of arts models and the most recent results, and to exchange ideas for further development and collaboration. The invited talks will cover not only the partial differential equations (PDEs) of the second order, but also PDE models of varying orders such as 4th order and fractional orders. Suitable adaptivity in designing nonlinear coefficients, anisotropic weights and feature based differential order or coefficients is a key in improving the more traditional models. This has been done in a number of ways. Effective algorithms are of vital importance in approximating numerical solutions to the concerned models, especially if we intend for such models to find wide and practical use in the diverse fields of imaging sciences. The mini-symposium should be of interest to all researchers in the community. Organised by Joachim Weickert (Saarland University, Germany), Xue-cheng Tai (Hong Kong Baptist University, China) Ke Chen (University of Liverpool, UK)

Efficient solution of Euler elastica models

Xue-Cheng Tai (Hong Kong Baptist University)

Efficient Methods for Edge-weighted Colorization Models with Sphere Constraints

Sung-ha Kang (Georgia Institute of Technology)

Generalized image osmosis filtering with applications

Simone Parisotto (University of Cambridge)

An Image Reconstruction Model Regularized by Edge-preserving Diffusion and Smoothing for Limited-angle Computed Tomography

Peng Zhang (Capital Normal University of Beijing)

Spectral analysis of nonlinear flows

Gilboa Guy (Electrical Engineering Department, Technion)

Fractional order variational models for image restoration and other problems

Ke Chen (University of Liverpool)

Keeping Backward Diffusion Under Control: Discrete Analysis and Numerics

Martin Welk (Private University for Health Sciences, Medical Informatics and Technology (UMIT))

Partial Differential Equations and Image Segmentation in Medical Imaging

Luis Alvarez (Universidad de Las Palmas de Gran Canaria)

Organizers:

Ke Chen (University of Liverpool)

Xue-Cheng Tai (Hong Kong Baptist University)

Joachim Weickert (Saarland University)

Keywords:

computed tomography, image compression, image enhancement, image reconstruction, inverse problems, nonlinear optimization, partial differential equation models