Interpolation and approximation methods are crucial tools needed in image processing, at some or several stages. In fact, as in computer graphics, sometimes images are manually made from physical models of two and three dimensional objects. Since sophisticated approximation and interpolation techniques are building blocks of image restoration, signal recovery, volume data reconstruction, edge detection, object separation as well as prototyping, aim of this mini-symposium is to gather scientists to give notice of new mathematical methods relevant to all this area.

Patch-based dictionary learning for sparse image approximation

Gerlind Plonka (University of Goettingen)

Adaptive filtering in Magnetic Particle Imaging via Lissajous sampling

Stefano De Marchi (University of Padova)

Performance bounds for co-/sparse box constrained signal recovery

Jan Kuske (Heidelberg University)

Near-best quartic $C^2$ spline quasi-interpolation for volume data reconstruction

Sara Remogna (University of Torino)

Image reconstruction from scattered data by kernel methods

Gabriele Santin (University of Stuttgart)

Landmark-based image registration using radial kernels

Roberto Cavoretto (University of Torino)

RBF methods for edge detection

Milvia Rossini (University of Milano-Bicocca)

On a regularized approach for the method of fundamental solution

Marta Paliaga (University of Palermo)

On Shannon sampling operators in Imaging

Gert Tamberg (Tallinn University of Technology)

Numerical methods for Mellin integral equations with applications in Imaging Science 

Maria Grazia Russo (University of Basilicata)

Approximation results for prototyping

Gianluca Vinti (University of Perugia)

Hexagonal Shepard method for scattered data interpolation

Filomena Di Tommaso (University of Calabria)

Object separation in videos by means of adaptive PCA

Tomas Sauer (University of Passau)

Subdivision-based deformable models for extracting volumetric structures from biomedical images

Lucia Romani (University of Milano-Bicocca)

Mathematical methods of ptychographical imaging

Nada Sissouno (University of Munich & Helmholtz Zentrum München)

Multiple MRA and image processing

Mariantonia Cotronei (University of Reggio Calabria)

Organizers:

Costanza Conti (University of Firenze)

Alessandra De Rossi (University of Torino)

Francesco Dell'Accio (University of Calabria)

Keywords:

computer graphics, image reconstruction, image registration, image representation, image segmentation, integral equations for image analysis