Description
Springer Inverse Problems in Medical Imaging and Nondestructive Testing 1996 1st Editon 2004 Softbound by Heinz W. Engl, Alfred K. Louis, William Rundell
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. 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.