Overview
- Self-contained chapters, written by leading mathematicians, engineers, and computer scientists
- Explores various mathematical and computational problems of discrete tomography with an emphasis on new applications
- Applications to electron microscopy, materials science, nondestructive testing, and diagnostic medicine
- For a broad audience of professionals, researchers, practitioners, and students in mathematics, computer imaging, biomedical imaging, computer science, and image processing
Part of the book series: Applied and Numerical Harmonic Analysis (ANHA)
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Table of contents (16 chapters)
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Front Matter
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Foundations of Discrete Tomography
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Front Matter
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Discrete Tomography Reconstruction Algorithms
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Front Matter
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Applications of Discrete Tomography
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Front Matter
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Keywords
About this book
Advances in Discrete Tomography and Its Applications is a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image reconstruction by discrete tomographic methods. The self-contained chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field.
Three main areas are covered: foundations, algorithms, and practical applications. Following an introduction that reports the recent literature of the field, the book explores various mathematical and computational problems of discrete tomography including new applications. Topics and features include introduction to discrete point X-rays, uniqueness and additivity in discrete tomography, network flow algorithms for discrete tomography, convex programming and variational methods, and applications to electron microscopy, materials science, nondestructive testing, and diagnostic medicine.
Professionals, researchers, practitioners, and students in mathematics, computer imaging, biomedical imaging, computer science, and image processing will find the book to be a useful guide and reference to state-of-the-art research, methods, and applications.
Reviews
"This book is strongly recommended for all those who want to work [in] tomography and get solutions of problems in discrete situations." —International Journal of Tomography & Statistics
"...The selected contributions are clear and complete. The editors wisely break the text into three sections, all covered with equal depth and breadth—foundational material, reconstruction algorithms, and applications. The text’s exercises, exhaustive solutions, and expert remarks also make it a suitable reference for a special topics class. Guided by well-crafted chapter summaries, motivated students and professionals will find the text a welcome handbook and resource. ...Bringing together an enormous amount of theoretical and practical knowledge from DT applications, Advances in Discrete Tomography and Its Applications fulfills its commitment to report on the field’s growth. Surely, students, programmers, scientists, and engineers from medicine, industry, and research will find something valuable in this total tomography handbook." —Computing in Science & Engineering
Editors and Affiliations
Bibliographic Information
Book Title: Advances in Discrete Tomography and Its Applications
Editors: Gabor T. Herman, Attila Kuba
Series Title: Applied and Numerical Harmonic Analysis
DOI: https://doi.org/10.1007/978-0-8176-4543-4
Publisher: Birkhäuser Boston, MA
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Birkhäuser Boston 2007
Hardcover ISBN: 978-0-8176-3614-2Published: 04 April 2007
eBook ISBN: 978-0-8176-4543-4Published: 19 January 2008
Series ISSN: 2296-5009
Series E-ISSN: 2296-5017
Edition Number: 1
Number of Pages: XX, 392
Number of Illustrations: 140 b/w illustrations
Topics: Signal, Image and Speech Processing, Image Processing and Computer Vision, Mathematical and Computational Engineering, Computer Imaging, Vision, Pattern Recognition and Graphics, Visualization, Fourier Analysis