This text explores medical imaging, one of the most significant areas of recent mathematical applications, in a concise manner accessible to undergraduate students. The author emphasizes the mathematical aspects of medical imaging, including not only the theoretical background, but also the role of approximation methods and the computer implementation of the inversion algorithms. In twenty-first century health care, CAT scans, ultrasounds, and MRIs are commonplace. Significant computational advances, along with the development, design, andimprovement of the machines themselves, can only occur in conjunction with a proper understanding of the mathematics. This book is inherently interdisciplinary in nature, and therefore is appropriate for students of engineering, physics, and computer science, in addition to mathematics. A working knowledge of multivariable calculus, as well some basic knowledge of differential equationsand basic linear algebra and matrix methods, are mathematical prerequisites. Offers concise treatment of mathematics for undergraduates solely within the context of medical imaging Inherently interdisciplinary between students of mathematics, physics, computer science, and biomedical engineering Covers currentmedical imaging development and improvement regarding CAT scans, ultrasounds,MRIs, and more INDICE: Preface.- X-Rays.- Lines and Line Integrals.- The Radon Transform.- Back Projection.- Complex Numbers.- The Fourier Transform.- Two Big Theorems.- Filters and Convolution.- Discrete Image Reconstruction.- Sampling.- Algebraic Reconstruction Techniques.
- ISBN: 978-0-387-92711-4
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 168
- Fecha Publicación: 01/12/2009
- Nº Volúmenes: 1
- Idioma: Inglés