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Inverse problems, image analysis, and medical imaging : AMS Special Session on Interaction of Inverse Problems and Image Analysis, January 10-13, 2001, New Orleans, Louisiana / M. Zuhair Nashed, Otmar Scherzer, editors.
- Format:
- Book
- Conference/Event
- Author/Creator:
- AMS Special Session on Interaction of Inverse Problems and Image Analysis, Corporate Author.
- Conference Name:
- AMS Special Session on Interaction of Inverse Problems and Image Analysis (2001 : New Orleans, Louisiana), issuing body.
- AMS Special Session on Interaction of Inverse Problems and Image Analysis
- Series:
- Contemporary mathematics (American Mathematical Society) ; v. 313.
- Contemporary mathematics, 0271-4132 ; 313
- Language:
- English
- Subjects (All):
- Image processing--Digital techniques--Mathematical models--Congresses.
- Image processing.
- Image analysis--Mathematical models--Congresses.
- Image analysis.
- Inverse problems (Differential equations)--Congresses.
- Inverse problems (Differential equations).
- Diagnostic imaging--Mathematical models--Congresses.
- Diagnostic imaging.
- Physical Description:
- 1 online resource (322 p.)
- Edition:
- 1st ed.
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [2002]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""List of Participants""; ""Regularization of nonlinear unstable operator equations by secant methods with application to gravitational sounding problem""; ""A fractal set constructed from a class of wavelet sets""; ""Joint invariant signatures for curve recognition""; ""Inpainting based on nonlinear transport and diffusion""; ""Towards fast non-rigid registration""; ""A note on wavelet-based inversion algorithms""; ""A comparison between the Wavelet-Galerkin and the Sinc-Galerkin methods in solving nonhomogeneous heat equations""; ""Fast diffusion registration""
- ""Iterative stabilization and edge detection""""Backprojections in tomography, spherical functions and addition formulas: a few challenges""; ""Mathematical models for 2D positron emission tomography""; ""Explicit versus implicit relative error regularization on the space of functions of bounded variation""; ""Sampling methods for approximate solution of pde""; ""Diffusion and regularization of vector- and matrix-valued images""; ""A numerically robust hybrid steepest descent method for the convexly constrained generalized inverse problems""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-7903-0
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