Mathematical methods in image reconstruction (Q2723178)

This book treats computerized tomography and contains mathematical and algorithmical descriptions of the methods used in this domain. The book is divided into seven chapters:NEWLINENEWLINENEWLINEAn introduction presents the basic problems and the main mathematical tools needed in the following. The second chapter is devoted to the various transforms allowing reconstruction, the proto-type being the Radon transform. Chapter 3 describes the different tomography models and technologies. After explanations on stability and resolution in chapter 4, chapter 5 treats the reconstruction algorithms. Chapter 6 speaks of specificities of certain formulations when data is incomplete or orientations unknown. Finally, the last chapter investigates nonlinear tomography.NEWLINENEWLINENEWLINEThe book supposes a sound mathematical background at graduate level from the reader and is devoted to people wanting a deep insight into the theoretical problems of image reconstruction in real application situations.