WPA: Partial Differential Equations for Image Processing

Most of the mathematicians employed in this ITN in the field of image processing are collaborating with researchers from other fields as it is the case of the Technion Computer Sciences and Electrical Engineering departments. The areas and problems of interest in PDE-based methods for Image Processing and Analysis in which the teams joining forces will be active are: i) Image Denoising and Edge Preserving Enhancement and Variational and PDE- based approaches, ii) Video Processing: Optic Flow Estimation by Over-Parameterized Variational Methods and Variational Methods for Deinterlacing, iii) Image Restoration and Inpainting, iv) Image and Video Coding Compression: Up-Scaling and Down-Scaling and Image and Video Sampling Issues, v) Scale Space Processing: Image Representations in Overcomplete Dictionaries and Sparse Representations and Their Uses.

Concrete subprojects of WPA and available ESR contracts

Work package B: Patterns in Complex Reaction Diffusion Systems

 Work package B is devoted to the mathematical modelling, analysis and numerical analysis of reaction-diffusion systems arising in various application fields such as population dynamics, ecology, phase transitions and flame propagation, as well as the transport of contaminants in aquifers.

Concrete subprojects of WPB and available ESR contracts

 

Work package C:  Interfaces, Control and Inverse Methods  in Technology Problems

 Many different problems will be considered in this research direction. Some special emphasis will be set on nonlinear processes involving, e.g., fluid flow and large elastoplastic deformations.

Concrete subprojects of WPC and available ESR contracts

The following table summarizes the available ESR contracts (in the application which ends on June 15, 2010) and the number of months to be spent in each Full Member

 

WP

ESR

Partner

Topic

WPA1

ESR 1 This position has been filled

Madrid (18)

Total variation based denoising problem

WPA2

ESR 4 This position has been filled

Haifa (23)

Non-local variational formulation of the image inpainting problem and High Angular Resolution Diffusion Imaging: a multi-scale geometrical point of view

WPA3

ESR 6 This position has been filled

Eindhoven (12)

Adaptive and directional local processing

WPA4

ESR 9 This position has been filled

Rome (30)

Variational methods: ill-posed problems

WPA

 

Total =  83 Researcher-months

 

WPB1

ESR 12 This position has been filled

Haifa (12)

Flame propagation

WPB2

ESR 14 This position has been filled

Madrid (18)

Plant community patches

WPB3

ESR 17 This position has been filled

Bath  (30)

Higher order reaction-diffusions: blow-up

WPB4

ESR 19 This position has been filled

Zurich (23)

Reaction –diffusion with non local terms and other effects

WPB5

ESR 22 This position has been filled

Madrid (12)

Singular terms in reaction-diffusion systems

WPB6

ESR 24  This position has been filled

Egis (24)

Finite volume methods for transport of contaminants in porous media

WPB7

ESR 27 This position has been filled

Bath  (23)

Upscaling of interacting particle systems

WPB

 

Total = 148 Researcher-months

 

WPC1

ESR 29 This position has been filled

Erlangen (24)

Colloid-enhanced flow of contaminants in porous media

WPC2

ESR 31 This position has been filled

Erlangen (36)

Electrowetting: modeling, analysis, and simulation

WPC3

ESR 32 This position has been filled

Bath (15)

Level Set Methods for Multilayer Geological Folding (Link EURAXESS)

WPC4

ESR 34 This position has been filled

Haifa (12)

Non linear systems in some technology problems

WPC5

ESR 37 This position has been filled

Siemens (36)

Reduced order plasticity models for the real-time control for hot rolling of steel (Siemens)

WPC6

ESR 39 This position has been filled

Paris (11)

Models with a not controllable linearized control system and Computational aspects of interfaces

WPC7

ESR 41 This position has been filled

Erlangen (24)

Control and stabilization in networked transportation

WPC

 

Total = 172 Researcher-months

 

Total

ESR 18

Total = 403 Researcher-months