This book gives a complete exposition of the basic mathematics needed to understand a wide range of imaging applications within the physical sciences. It describes the linear mathematical operations and techniques used in image processing applications, and is arranged into four sections which can be read one after the other as a textbook or intermittently as a reference book. Fourier Methods in Imaging first introduces the basic mathematical concepts of linear algebra for vectors and functions, a knowledge of which is necessary for understanding the subsequent discussions. The second section lays out the mathematical operations and transformations of continuous functions that are useful for describing imaging systems. 'Special' functions, such as the Fourier transformsof 1-D and 2-D functions, and the Radon transform, are looked at in detail. Most applications act on discrete functions and these (through the Fourier transform) are discussed in the important third section. The fourth section discusses the description of imaging systems as linear 'filters' and applies the mathematical tools to solve specific imaging tasks.Professor Roger L. Easton, Jr, Chester F. Carlson Center for Imaging Science,Rochester Institute of Technology, 54 Lomb Memorial Drive, Rochester, NY 14623-5604 Professor Easton teaches undergraduate and graduate courses in linear systems, optical imaging, and digital image processing at Rochester Institute of Technology. He received a B.S. degree in Astronomy from Haverford College, an M.S. in physics from the University of Maryland, and an M.S. and Ph.D. degree in Optical Sciences from the University of Arizona. His research interests include the application of digital image processing to text documents and manuscripts. He has contributed to work on the Dead Sea Scrolls and is now part of an imaging team helping scolars to read the original Archimiedes Palimpsest. Professor Easton also conducts research into optical signal processing and computer-generated holography, publishing articles on both.
- ISBN: 978-0-470-68983-7
- Editorial: John Wiley & Sons
- Encuadernacion: Cartoné
- Páginas: 960
- Fecha Publicación: 14/05/2010
- Nº Volúmenes: 1
- Idioma: Inglés