Variational Methods in Imaging

 

Part I: Fundamentals of Imaging.- Case examples of imaging.- Image and Noise Models.- Part II: Regularization.- Variational Regularization Methods for the Solution of Inverse Problems.- Convex Regularization Methods for Denoising.- Variational Calculus for Non-convex Regularization.- Semi-group Theory and Scale Spaces.- Inverse Scale Spaces.- Part III: Mathematical Foundations.- Functional Analysis.- Weakly Differentiable Functions.- Convex Analysis and Calculus Variations.- Nomenclature.- References.- Index.