Inverse Problems in Medical Imaging and Nondestructive Testing

Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4–10, 1996

Heinz W. Engl, Alfred K. Louis, William Rundell (Herausgeber)

Buch | Softcover

VII, 211 Seiten

1997 | 1997
Springer Wien (Verlag)
978-3-211-83015-4 (ISBN)

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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.

"... The articles are well written and the book is carefully edited, giving a well balanced survey of the most recent developments in this modern and important field of scientific computing." Internationale Mathematische Nachrichten 12/2001

Erscheint lt. Verlag	9.6.1997
Zusatzinfo	VII, 211 p. 44 illus.
Verlagsort	Vienna
Sprache	englisch
Maße	170 x 244 mm
Gewicht	438 g
Themenwelt	Medizinische Fachgebiete ► Radiologie / Bildgebende Verfahren ► Radiologie
Schlagworte	3D • Bildgebende Verfahren (Medizin) • Computed tomography (CT) • Construction • Inverse Problems • Inverse Scattering Theory • Medical Imaging • Microscopy • Modeling • non-destructive testing • Nondestructive Testing • scattering theory • Scientific Computing • Scientific Computing / Wissenschaftliches Rechnen • Signal • Ultrasound • Wavelet
ISBN-10	3-211-83015-4 / 3211830154
ISBN-13	978-3-211-83015-4 / 9783211830154
Zustand	Neuware