Synopsis
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.
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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.
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