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(Ebook PDF) Mathematical methods in image reconstruction 1st Edition by Frank Natterer, Frank Wûbbeling ISBN 0898714729 9780898714722 Full chapter

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Mathematical methods in image reconstruction 1st Edition Frank Natterer Digital Instant Download

Author(s): Frank Natterer, Frank Wûbbeling
ISBN(s): 9780898714722, 0898714729
Edition: 1st
File Details: PDF, 22.18 MB
Year: 2001
Language: english
SKU: EB-1375422 Category: Tags: ,

Mathematical methods in image reconstruction 1st Edition by Frank Natterer, Frank Wûbbeling – Ebook PDF Instant Download/Delivery: 0898714729, 978-0898714722
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Product details:

ISBN 10:         0898714729
ISBN 13: 978-0898714722
Author:          Frank Natterer, Frank Wûbbeling

Since the advent of computerized tomography in radiology, many imaging techniques have been introduced in medicine, science, and technology. This book describes the state of the art of the mathematical theory and numerical analysis of imaging. The authors survey and provide a unified view of imaging techniques, provide the necessary mathematical background and common framework, and give a detailed analysis of the numerical algorithms. This book not only reflects the theoretical progress and the growth of the field in the last 10 years but also serves as an excellent reference. It will provide readers with a superior understanding of the mathematical principles behind imaging and will enable them to write state-of-the-art software as a result. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.
 

Mathematical methods in image reconstruction 1st Table of contents:

  • Introduction to Image Reconstruction

    • Overview of Image Reconstruction
    • Importance and Applications
    • Mathematical Foundations

  • Basic Principles of Image Formation

    • Imaging Systems and Models
    • The Inverse Problem
    • Sampling and Aliasing

  • Mathematical Techniques in Image Reconstruction

    • Linear Systems and Matrix Representation
    • Fourier Transform and Image Reconstruction
    • Regularization Techniques
    • Filtering Methods

  • Reconstruction from Projections

    • Radon Transform
    • X-ray and CT Reconstruction
    • Tomographic Imaging

  • Image Reconstruction Algorithms

    • Iterative Reconstruction Methods
    • Backprojection Algorithm
    • Algebraic Reconstruction Techniques (ART)
    • Simultaneous Iterative Reconstruction Technique (SIRT)

  • Advanced Topics in Image Reconstruction

    • Compressive Sensing
    • Sparse Representation and Dictionary Learning
    • Machine Learning and Deep Learning in Image Reconstruction

  • Applications of Image Reconstruction

    • Medical Imaging (CT, MRI)
    • Remote Sensing
    • Industrial Imaging

  • Numerical Methods for Image Reconstruction

    • Solving Linear Systems
    • Optimization Techniques
    • Convergence Analysis

  • Practical Considerations

    • Computational Complexity
    • Data Acquisition and Preprocessing
    • Error Analysis and Image Quality Assessment

  • Conclusion and Future Directions

    • Emerging Techniques
    • Challenges and Open Problems

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