Contemporary Mathematics 2002; 305 pp; softcover Volume: 313 ISBN10: 0821829793 ISBN13: 9780821829790 List Price: US$91 Member Price: US$72.80 Order Code: CONM/313
 This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and highlevel survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging. Readership Graduate students and research mathematicians; electrical engineers interested in signal processing and image processing; researchers in medical imaging. Table of Contents  R. B. Alexeev and A. B. Smirnova  Regularization of nonlinear unstable operator equations by secant methods with application to gravitational sounding problem
 J. J. Benedetto and S. Sumetkijakan  A fractal set constructed from a class of wavelet sets
 M. Boutin  Joint invariant signatures for curve recognition
 T. F. Chan and J. Shen  Inpainting based on nonlinear transport and diffusion
 U. Clarenz, M. Droske, and M. Rumpf  Towards fast nonrigid registration
 C. De Mol and M. Defrise  A note on waveletbased inversion algorithms
 M. ElGamel and A. I. Zayed  A comparison between the waveletGalerkin and the SincGalerkin methods in solving nonhomogeneous heat equations
 B. Fischer and J. Modersitzki  Fast diffusion registration
 C. W. Groetsch and O. Scherzer  Iterative stabilization and edge detection
 F. A. Grünbaum  Backprojections in tomography, spherical functions and addition formulas: A few challenges
 B. A. Mair and J. A. Zahnen  Mathematical models for 2d positron emission tomography
 O. Scherzer  Explicit versus implicit relative error regularization on the space of functions of bounded variation
 F. Stenger, A. R. NaghshNilchi, J. Niebsch, and R. Ramlau  Sampling methods for approximate solution of pde
 J. Weickert and T. Brox  Diffusion and regularization of vector and matrixvalued images
 I. Yamada, N. Ogura, and N. Shirakawa  A numerically robust hybrid steepest descent method for the convexly constrained generalized inverse problems
