- 235 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
About this book
Magnetic resonance imaging (MRI) is a rapidly developing field in basic applied science and clinical practice. Research efforts in this area have already been recognized with five Nobel prizes awarded to seven Nobel laureates in the past 70 years. Based on courses taught at The Johns Hopkins University, Magnetic Resonance Imaging: The Basics provid
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Yes, you can access Magnetic Resonance Imaging by Christakis Constantinides in PDF and/or ePUB format, as well as other popular books in Medicine & Medical Theory, Practice & Reference. We have over one million books available in our catalogue for you to explore.
Information
1 | Fourier Transformations |
1.1 Introduction
Fourier transformation is a powerful mathematical operation. It was named after Jean Baptiste Joseph Fourier, a French mathematician and physicist (1768–1830) who initiated the investigation of Fourier series and its application to problems of heat flow. This integral transform reexpresses a function in terms of its sinusoidal basis functions as a scaled summation. The advent of electronics and the evolution of computers in the early 20th century allowed computation and digital signal processing using the Fourier transform (FT) in the discrete domain.
Interestingly, in the 1960s, Professor Richard Ernst (Ernst 1966, Ernst 1987) at the ETH in Zurich applied the basic Fourier transformation in its discrete form to formulate the magnetic resonance imaging (MRI) signal evolution in pulse-acquire ...
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Dedication
- Table of Contents
- Foreword
- Book Synopsis
- Nobel Prizes in Magnetic Resonance
- Introduction
- About the Author
- List of Abbreviations
- List of Symbols
- 1 Fourier Transformations
- 2 Fundamentals of Magnetic Resonance I: Basic Physics
- 3 The Molecular Environment and Relaxation
- 4 Fundamentals of Magnetic Resonance II: Imaging
- 5 Fundamentals of Magnetic Resonance III: The Formalism of k-Space
- 6 Pulse Sequences
- 7 Introduction to Instrumentation
- 8 Tour of an MRI Facility
- 9 Signal, Noise, Resolution, and Image Contrast
- 10 Spectroscopy and Spectroscopic Imaging
- 11 Advanced Imaging Techniques: Parallel Imaging
- Problem Sets
- Multiple Choice Questions
- Solutions to Selected Problems
- Answers to Multiple Choice Questions
- Glossary
- Bibliography