Topics to be covered:

Case Examples of Imaging:

- Denoising,

- Image Inpainting,

- X-Ray Based Computerized Tomography,

- Thermoacoustic Tomography,

- Schlieren Tomography.

Image and Noise Models:

-Basic Concepts of Statistics,

-Digitized (Discrete) Images,

-Noise Models,

-Priors for Images,

- Maximum A-Posteriori Estimation, MAP Estimation for Noisy Images.

Variational Regularization Methods for the Solution of Inverse Problems:

- Quadratic Tikhonov Regularization in Hilbert Spaces,

-Variational Regularization Methods in Banach Spaces,

- Regularization with Sparsity Constraints,

- Linear Inverse Problems with Convex Constraints,

- Schlieren Tomography.

Convex Regularization Methods for Denoising

Scale Spaces