Inverse Problems in Medical Imaging and Nondestructive Testing (eBook, PDF)
Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4-10, 1996 Redaktion: Engl, Heinz W.; Rundell, William; Louis, Alfred K.
Inverse Problems in Medical Imaging and Nondestructive Testing (eBook, PDF)
Proceedings of the Conference in Oberwolfach, Federal Republic of Germany, February 4-10, 1996 Redaktion: Engl, Heinz W.; Rundell, William; Louis, Alfred K.
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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.
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.
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Inhaltsangabe
From the contents: Akduman, I., Grochmalicki, J., Pike, R.: Three-Dimensional Super-Resolving Confocal Scanning Laser Fluorescent Microscopy Beth, Th., et al.: Wavelets and Waves in Optical Signal Preprocessing Blaschke-Kaltenbacher, B., Engl, H.W.: Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction Colton, D.L.: Qualitative Methods in Inverse Scattering Theory Dobson, D.C.: Recovery of Blocky Images in Electrical Impedance Tomography Järvenpää, S., Somersalo, E.: Impedance Imaging and Electrode Models. - Kress, R., Rundell, W.: Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data Langenberg, K.J., et al.: Applied Inversion in Nondestructive Testing Louis, A.K.: Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography Maaß, P., Rieder, A.: Wavelet-Accelerated Tikhonov-Phillips Regularization with Applications Natterer, F.: An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency Pichot, Ch. et al.: Gradient and Newton-Kantorovich Methods for Microwave Tomography Pidcock, M., Ciullli, S., Ispas, S.: Boundary Modelling in Electrical Impedance Tomography Plato, R.: Lavrentiev s Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms.
From the contents: Akduman, I., Grochmalicki, J., Pike, R.: Three-Dimensional Super-Resolving Confocal Scanning Laser Fluorescent Microscopy Beth, Th., et al.: Wavelets and Waves in Optical Signal Preprocessing Blaschke-Kaltenbacher, B., Engl, H.W.: Regularization Methods for Nonlinear Ill-Posed Problems with Applications to Phase Reconstruction Colton, D.L.: Qualitative Methods in Inverse Scattering Theory Dobson, D.C.: Recovery of Blocky Images in Electrical Impedance Tomography Järvenpää, S., Somersalo, E.: Impedance Imaging and Electrode Models. - Kress, R., Rundell, W.: Inverse Obstacle Scattering with Modulus of the Far Field Pattern as Data Langenberg, K.J., et al.: Applied Inversion in Nondestructive Testing Louis, A.K.: Application of the Approximate Inverse to 3D X-Ray CT and Ultrasound Tomography Maaß, P., Rieder, A.: Wavelet-Accelerated Tikhonov-Phillips Regularization with Applications Natterer, F.: An Initial Value Approach to the Inverse Helmholtz Problem at Fixed Frequency Pichot, Ch. et al.: Gradient and Newton-Kantorovich Methods for Microwave Tomography Pidcock, M., Ciullli, S., Ispas, S.: Boundary Modelling in Electrical Impedance Tomography Plato, R.: Lavrentiev s Method for Linear Volterra Integral Equations of the First Kind, with Applications to the Non-Destructive Testing of Optical-Fibre Preforms.
Rezensionen
"... 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
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