Inverse Problems in Medical Imaging and Nondestructive Testing

14 contributions present mathematical models for different imaging techniques in medicine and nondestructive testing. The underlying mathematical models are presented in a way that also newcomers in the field have a chance to understand the relation between the special applications and the mathematics needed for successfully treating these problems. The reader gets an insight into a modern field of scientific computing with applications formerly not presented in such form, leading from the basics to actual research activities.

The reader gets an insight in a modern field of scientific computing with applications formerly not presented in such a form leading from the basics to the actual research activities

Three-Dimensional Super-Resolving Confocal Scanning Laser Fluorescent Microscopy.- Wavelets and Waves in Optical Signal Preprocessing.- Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction.- Qualitative Methods in Inverse Scattering Theory.- Recovery of Blocky Images in Electrical Impedance Tomography.- Impedance Imaging and Electrode Models.- nverse Obstacle Scattering with Modulus of the Far Field Pattern as Data.- Applied Inversion in Nondestructive Testing.- Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography.- Wavelet-Accelerated Tikhonov-Phillips Regularization with Applications.- An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency.- Gradient and Newton-Kantorovich Methods for Microwave Tomography.- Boundary Modelling in Electrical Impedance Tomography.- Lavrentiev's Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms.