Inverse Problems In Medical Imaging And Nondestructive Testing: Proceedings Of The Conference In Oberwolfach, Federal Republic Of Germany, February 4-10, 1996 (springermathematics)

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. Front Matter....Pages i-vii Three-Dimensional Super-Resolving Confocal Scanning Laser Fluorescent Microscopy....Pages 1-6 Wavelets and Waves in Optical Signal Preprocessing....Pages 7-16 Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction....Pages 17-35 Qualitative Methods in Inverse Scattering Theory....Pages 36-42 Recovery of Blocky Images in Electrical Impedance Tomography....Pages 43-64 Impedance Imaging and Electrode Models....Pages 65-74 Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data....Pages 75-92 Applied Inversion in Nondestructive Testing....Pages 93-119 Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography....Pages 120-133 Wavelet-Accelerated Tikhonov-Phillips Regularization with Applications....Pages 134-158 An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency....Pages 159-167 Gradient and Newton-Kantorovich Methods for Microwave Tomography....Pages 168-187 Boundary Modelling in Electrical Impedance Tomography....Pages 188-195 Lavrentiev’s Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms....Pages 196-211 Back Matter....Pages 212-216