Inverse Problems Tomography and Image Processing

In this volume selected papers delivered at the special sessions on Inverse problems and Tomography and image processing are published. These sessions were organized by A. G. Ramm at the first international congress ofISAAC (International Society for Analysis Appli- cations and Computing) which was held at the University of Delaware June 3-7 1997. The papers in this volume deal with a wide variety of problems including some theoretical and nu- merical problems arising in various inverse problems of interest in applications (Athanasiadis Ramm and Stratis Crosta Gutman Kamimura Kochikov Kuramshina and Yagola Ramm Yakhno Yamamoto) in tomography (Faridani Katsevich Sharafutdinov) and in image pro- cessing (Lina Schempp Lobel Pichot Feraud and Barlaud Weaver) These papers will be of interest to a wide audience including mathematicians physicists persons working in medical imaging and theoretically oriented engineers. A.G.Ramm Manhattan KS v CONTENTS 1. Inverse Acoustic Scattering by a Layered Obstacle C. Athanasiadis A. G. Rarnrn and I. G. Stratis 2. Scalar and Vector Backpropagation Applied to Shape Identification from Experimental Data: Recent Results and Open Problems ...9 Giovanni F. Crosta 3. Sampling in Parallel-Beam Tomography 33 Adel Faridani 4. Multidimensional Inverse Scattering Problem with Non-Reflecting Boundary Conditions ...55 Semion Gutman 5. Local Tomography with Nonsmooth Attenuation II 73 Alexander Katsevich 6. Inverse Problems of Determining Nonlinear Terms in Ordinary Differential Equations ...87 ...Yutaka Kamimura 7. Complex Daubechies Wavelets: Filters Design and Applications 95 J.-M. Lina 8. Edge-Preserving Regularization for Quantitative Reconstruction Algorithms in Microwave Imaging ...113 ...