- Full Description
This revised and updated text presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display in computerized tomography. New topics: the fast calculation of a ray sum for a digitized picture, the task-oriented comparison of reconstruction algorithm performance, blob basis functions and the linogram method for image reconstruction. Features: Describes how projection data are obtained and the resulting reconstructions are used; Presents a comparative evaluation of reconstruction methods; Investigates reconstruction algorithms; Explores basis functions, functions to be optimized, norms, generalized inverses, least squares solutions, maximum entropy solutions, and most likely estimates; Discusses SNARK09, a large programming system for image reconstruction; Concludes each chapter with helpful Notes and References sections. An excellent guide for practitioners, it can also serve as a textbook for an introductory graduate course.
- Table of Contents
Table of Contents
- An Overview of the Process of CT.
- Physical Problems Associated with Data Collection in CT.
- Computer Simulation of Data Collection in CT.
- Data Collection and Reconstruction of the Head Phantom.
- Basic Concepts of Reconstruction Algorithms.
- Filtered Backprojection for Parallel Beams.
- Other Transform Methods for Parallel Beams.
- Filtered Backprojection for Divergent Beams.
- Algebraic Reconstruction Techniques.
- Quadratic Optimization Methods.
- Truly Three
- Dimensional Reconstruction.
- Dimensional Display of Organs.
- Mathematical Background.
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