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E-raamat: Inverse Problems, Image Analysis, and Medical Imaging

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  • Formaat: 305 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821879030
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  • Formaat: 305 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821879030

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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 high-level 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.
Preface vii
List of Participants
ix
Regularization of nonlinear unstable operator equations by secant methods with application to gravitational sounding problem
1(18)
R.B. Alexeev
A.B. Smirnova
A fractal set constructed from a class of wavelet sets
19(18)
J.J. Benedetto
S. Sumetkijakan
Joint invariant signatures of curve recognition
37(16)
M. Boutin
Inpainting based on nonlinear transport and diffusion
53(14)
T.F. Chan
J. Shen
Towards fast non-rigid registration
67(18)
U. Clarenz
M. Droske
M. Rumpf
A note on wavelet-based inversion algorithms
85(12)
C. De Mol
M. Defrise
A comparison between the Wavelet-Galerkin and the Sinc-Galerkin methods in solving nonhomogeneous heat equations
97(20)
M. El-Gamel
A.I. Zayed
Fast diffusion registration
117(12)
B. Fischer
J. Modersitzki
Iterative stabilization and edge detection
129(14)
C.W. Groetsch
O. Scherzer
Backprojections in tomography, spherical functions and addition formulas: a few challenges
143(10)
F.A. Grunbaum
Mathematical models for 2D positron Emission tomography
153(18)
B.A. Mair
J.A. Zahnen
Explicit versus implicit relative error regularization on the space of functions of bounded variation
171(28)
O. Scherzer
Sampling methods for approximate solution of pde
199(52)
F. Stenger
A.R. Naghsh-Nilchi
J. Niebsch
R. Ramlau
Diffusion and regularization of vector-and matrix-valued images
251(18)
J. Weickert
T. Brox
A numerically robust hybrid steepest descent method for the convexly constrained generalized inverse problems
269
I. Yamada
N. Ogura
N. Shirakawa