Inverse Problems in Medical Imaging and Nondestructive Testing

Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4-10, 1996
1997
ISBN: 978-3-211-83015-4
Verlag: Springer Vienna

Buch, Englisch, 211 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 402 g

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

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizinische Fachgebiete Bildgebende Verfahren, Nuklearmedizin, Strahlentherapie Radiologie, Bildgebende Verfahren
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Klinische und Innere Medizin Innere Medizin
• Mathematik | Informatik EDV | Informatik Informatik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Zerstörungsfreie Werkstoffprüfung
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizinische Mathematik & Informatik

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.