The Radon Transform and Local Tomography

This book provides a comprehensive introduction to the Radon transform and its applications in tomographic imaging, making it an essential read for those interested in image processing.

This book serves as an introduction to the fundamental properties of the Radon transform, a key concept in the field of image processing. It systematically presents a theory that focuses on the study of singularities of the Radon transform and explores its various applications in tomography. The approach taken in The Radon Transform and Local Tomography is both self-contained and accessible, making it suitable for readers with varying levels of expertise.

Over the past decade, there have been significant advancements in image processing technologies. Among these, tomographic imaging has emerged as a particularly intriguing area, aimed at computing the density function of a body or identifying discontinuity surfaces within that function. This technique is now prevalent in many fields, including medicine, engineering, physics, geophysics, and security, illustrating its broad relevance and utility.

The Radon Transform and Local Tomography clearly articulates the theoretical, computational, and practical dimensions of applied tomography. By providing sufficient background information, the book ensures that most readers can engage with the material effectively, regardless of their prior knowledge. It is an essential resource for anyone interested in understanding the principles and applications of the Radon transform in modern imaging techniques.