Advances in Discrete Tomography and Its Applications (Applied and Numerical Harmonic Analysis) [Hardcover]

Gabor T. Herman (Editor), Attila Kuba (Editor)

Book Description

Publication Date: April 4, 2007 | ISBN-10: 0817636145 | ISBN-13: 978-0817636142 | Edition: 1

The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: theoretical results, algorithms, and practical applications. Following an historical and introductory overview of the field, the book explores the various mathematical and computational problems of discrete tomography with an emphasis on new applications.

Editorial Reviews

Review

"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

From the Back Cover

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: * introduction to discrete point X-rays * uniqueness and additivity in discrete tomography * network flow algorithms for discrete tomography * convex programming and variational methods * 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.  

Product Details

• Hardcover: 412 pages
• Publisher: Birkhäuser Boston; 1 edition (April 4, 2007)
• Language: English
• ISBN-10: 0817636145
• ISBN-13: 978-0817636142
• Product Dimensions: 9.3 x 6.2 x 1 inches
• Shipping Weight: 1.4 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #2,802,144 in Books (See Top 100 in Books)

More About the Author

Gabor T. Herman received his Ph.D. degree from the University of London, England in 1968. From 1969 to 1981, he was with the Department of Computer Science, State University of New York at Buffalo, where he directed the Medical Image Processing Group. From 1981 to 2000, he was a Professor in the Medical Imaging Section of the Department of Radiology, University of Pennsylvania. Currently, he is a Distinguished Professor in the Department of Computer Science, Graduate Center, City University of New York, where he heads the Discrete Imaging and Graphics group.

His books include 3D Imaging in Medicine (CRC, 1991 and 2000), Geometry of Digital Spaces (Birkhauser, 1998), Discrete Tomography: Foundations, Algorithms and Applications (Birkhauser, 1999), Advances in Discrete Tomography and Its Applications (Birkhauser, 2007), and Fundamentals of Computerized Tomography: Image Reconstruction from Projections (Springer, 2009). During 1992-4 he was the Editor-in-Chief of the IEEE Transactions on Medical Imaging.

Gabor T. Herman has honorary doctorates from Linkoping University (Sweden), Jozsef Attila University, Szeged (Hungary) and University of Haifa (Israel). He has been elected to be a Fellow of the Institute of Electrical and Electronics Engineers, the British Computer Society and the American Institute for Medical and Biological Engineering. He has been Principle Investigator on many funded research projects; a current one is Image Processing in Biological 3D Electron Microscopy (National Institutes of Health, 2001-2010).