Computed Tomography: Algorithms, Insight, and Just Enough Theory

In Computed Tomography: Algorithms, Insight, and Just Enough Theory, readers will gain an understanding of the fundamental computational methods used in CT image reconstruction. The book emphasizes the interplay between modeling, computing, and algorithm development and presents mathematical models for motivating and deriving basic principles. It covers three main classes of reconstruction methods, discusses the effects of incomplete data, and includes computer exercises using MATLAB for hands-on learning. The book is suitable for students, researchers, and practitioners in advanced numerical analysis, data science, numerical optimization, and approximation theory courses.

Format: Paperback / softback
Length: 337 pages
Publication date: 01 June 2021
Publisher: Society for Industrial & Applied Mathematics,U.S.

In Computed Tomography: Algorithms, Insight, and Just Enough Theory, readers embark on a comprehensive journey into the realm of image reconstruction in computed tomography (CT). This unique book stands out for its exceptional focus on the interplay between modeling, computing, and algorithm development, providing a deep understanding of the fundamental computational methods employed in CT.

Through its comprehensive coverage, the book presents underlying mathematical models that serve as the foundation for motivating and deriving the basic principles of CT reconstruction methods. It delves into the advantages, limitations, and computational aspects of these methods, offering valuable insights into their practical applications.

The book's unique approach emphasizes the close connection between CT and numerical methods, a relationship that is often overlooked in current literature. It unravels the intricate details of CT data acquisition, reconstruction, and visualization, providing a comprehensive understanding of the underlying principles and techniques.

Furthermore, the book delves into the realm of incomplete data, addressing the challenges posed by limited or missing information. It employs both microlocal analysis and the singular value decomposition (SVD) to handle such scenarios, offering practical solutions and insights into the reconstruction process.

To enhance the learning experience, the book includes a comprehensive set of computer exercises using MATLAB. These exercises allow readers to experiment with the algorithms and apply them to real-world CT data, making the book an invaluable resource for both teaching and self-study.

With its comprehensive coverage, mathematical rigor, and practical applications, Computed Tomography: Algorithms, Insight, and Just Enough Theory is an essential text for students, researchers, and practitioners in the field of CT. It serves as a textbook for advanced numerical analysis, special topics on numerical analysis, data science, numerical optimization, and approximation theory courses. By delving into the intricacies of CT reconstruction methods, this book equips readers with the knowledge and tools necessary to advance the field and contribute to the development of innovative imaging technologies.

Weight: 750g
Dimension: 179 x 260 x 25 (mm)
ISBN-13: 9781611976663