This is a much needed book that skilfully discusses the fascinating subject of MRI reconstruction procedures and its applications. Many research developments in the area of MRI reconstruction took place in the late 1990s and early 2000s. But it was not until 2006–07 that researchers showed how to harness powerful techniques developed in applied mathematics and theoretical signal processing to accelerate MRI acquisition. This generated lots of enthusiasm in MRI reconstruction research, a branch popularly known as ‘Compressed Sensing’. There are several books on MRI, covering aspects like MR physics or its clinical applications or covering both aspects. But only a few amongst them cover, in an exhaustive manner, topics on MR image formation and analysis or ‘MR reconstruction’ as it is more popularly called. Prior to the application of Compressed Sensing in MRI, the literature on MRI reconstruction procedures could be covered in a chapter or two. But in the post Compressed Sensing era, a plethora of new mathematical techniques and algorithms are being applied for MRI reconstruction procedures and hundreds of research papers have appeared on this topic. This emphasizes the need for a comprehensive book that deals with the various aspects of Compressed Sensing in MRI.

This book organizes all the modern MRI reconstruction techniques in a clear and concise manner and one can easily sense the practical experience of the author in this area. Compressed Sensing, being a highly mathematical topic, requires graduate level training in applied mathematics. However, this book keeps the theory of Compressed Sensing to a minimum without diluting the fundamental concepts and it introduces it in an intuitive fashion. Anyone with a basic degree in science and engineering can easily follow this book. Thus, the scope of this book stretches from the fundamentals of mathematical theory to the most advanced MRI reconstruction procedures and algorithms and their applications in MRI.

I am convinced that this book will serve as an excellent source of information for senior undergraduate as well as graduate students. Further, it may also be used by educationalists who want to design a full course on MRI reconstruction. Researchers in signal processing who want to learn about the applications of mathematical techniques in MRI reconstruction or medical physicists who would like to be abreast with the latest in MRI reconstruction will also find this book to be an excellent reference.