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Silvia Tozza

Senior assistant professor (fixed-term)

Department of Mathematics

Academic discipline: MAT/08 Numerical Analysis

Research

Keywords: Hamilton-Jacobi equations Shape-from-X problems non-Lambertian reflectance models numerical methods for PDEs Image processing applications

Analysis and approximation of Hamilton-Jacobi equations, with particular attention to applications in Image Processing. In particular: 

  • Shape-from-X problems (mainly Shape-from-Shading and Shape-from-Polarisation, using non-Lambertian reflectance models)
  • Multi-View and Photometric Stereo Shape-from-X problems
  • Image Segmentation
  • Image Denoising

 

Mathematical modelling for thermal insulation problems.

 

Numerical techniques for PDEs: Semi-Lagrangian schemes, Finite Difference schemes, acceleration techniques (like e.g. Fast Marching and Fast Sweeping), “Filtered” Schemes (a mixture of a High-order scheme and a monotone one)

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