802678S Mathematics of Imaging and Vision (5 op)
Verkosto-opintojakso
Verkosto: Inversio-ongelmien koulutusverkosto
Tämä opintojakso on tarjolla Inversio-ongelmien verkostossa. Verkoston opinnot ovat tarjolla seuraavien tutkinto-ohjelmien opiskelijoille:
- Matematiikan kandidaattiohjelma
- Matematiikan aineenopettajan kandidaattiohjelma
- Matematiikan maisteriohjelma
- Matematiikan aineenopettajan maisteriohjelma
- Matematiikan ja tilastotieteen tohtoriohjelma
Kuvaus
Basics of representing images and signals using Fourier and wavelet transforms. Variational models for image denoising and nonlinear diffusion. Deconvolution, denoising, and inpainting as examples for classic inverse problems arising in imaging. Segmentation and the Mumford-Shah functional.
Osaamistavoitteet
Students will be familiar with basic operations to analyse, process, and understand images. Identify suitable presentations for different classes of images. Learn suitable analytical models for denoising and segmentation of images. Methods will be implemented using Matlab/Python.
Lisätietoja
Timing 3rd/last year during B.Sc., 1st or 2nd year of Master Target group Students having mathematics, applied mathematics, or statistics as the major or a minor subject.
Esitietojen kuvaus
Core courses in the B.Sc curriculum of mathematical sciences, especially Analysis 1 NM00BD54, Analysis 2 NM00BD55, Measure and Integral 802651S. Additionally as recommended: optimization (recommended), Introduction to Inverse Problems (beneficial, but not necessary).