Engl / Louis / Rundell Inverse Problems in Medical Imaging and Nondestructive Testing

Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4–10, 1996
Erscheinungsjahr 2012
ISBN: 978-3-7091-6521-8
Verlag: Springer Wien
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 211 Seiten, eBook

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.

Zielgruppe

Research

Autoren/Hrsg.

Engl, Heinz W.

Louis, Alfred K.

Rundell, William

Inhaltsverzeichnis

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.