Advances in Discrete Tomography and Its Applications

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.

• 3-D tomographic reconstruction
• algorithms
• computer imaging
• convex programming
• diagnostic medicine
• discrete point X-rays
• discrete tomography
• electron microscopy
• image processing
• linear optimization
• multidimensional image reconstruction
• network flow algorithms
• nondestructive testing

"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

• Program in Computer Science The Graduate Center, The City University of New York, New York, USA

  Gabor T. Herman

• Department of Image Processing and Computer Graphics, University of Szeged, Szeged, Hungary

  Attila Kuba

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