Fundamentals of computerized tomography: image reconstruction from projections

Fundamentals of computerized tomography: image reconstruction from projections

Herman, Gabor T.

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This revised and updated text presents the computational and mathematical procedures underlying data collection, image reconstruction, and image display incomputerized 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 canalso serve as a textbook for an introductory graduate course. INDICE: Introduction.- 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.- Backprojection.- 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.- Three-Dimensional Display of Organs.- Mathematical Background.

  • ISBN: 978-1-85233-617-2
  • Editorial: Springer
  • Encuadernacion: Cartoné
  • Páginas: 300
  • Fecha Publicación: 01/08/2009
  • Nº Volúmenes: 1
  • Idioma: Inglés