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| Author | : Richard J. Gardner |
| Publisher | : Cambridge University Press |
| Total Pages | : 448 |
| Release | : 1995-09-29 |
| Genre | : Art |
| ISBN | : 9780521451260 |
Develops the new field of retrieving information about geometric objects from projections on planes.
| Author | : Richard J. Gardner |
| Publisher | : Cambridge University Press |
| Total Pages | : 7 |
| Release | : 2006-06-19 |
| Genre | : Mathematics |
| ISBN | : 0521866804 |
Geometric tomography deals with the retrieval of information about a geometric object from data concerning its projections (shadows) on planes or cross-sections by planes. It is a geometric relative of computerized tomography, which reconstructs an image from X-rays of a human patient. It overlaps with convex geometry, and employs many tools from that area including integral geometry. It also has connections to geometric probing in robotics and to stereology. The main text contains a rigorous treatment of the subject starting from basic concepts and moving up to the research frontier: seventy-two unsolved problems are stated. Each chapter ends with extensive notes, historical remarks, and some biographies. This comprehensive work will be invaluable to specialists in geometry and tomography; the opening chapters can also be read by advanced undergraduate students.
| Author | : Jerrold T. Bushberg |
| Publisher | : Lippincott Williams & Wilkins |
| Total Pages | : 965 |
| Release | : 2002 |
| Genre | : Medical |
| ISBN | : 0683301187 |
Developed from the authors' highly successful annual imaging physics review course, this new Second Edition gives readers a clear, fundamental understanding of the theory and applications of physics in radiology, nuclear medicine, and radiobiology. The Essential Physics of Medical Imaging, Second Edition provides key coverage of the clinical implications of technical principles--making this book great for board review. Highlights of this new edition include completely updated and expanded chapters and more than 960 illustrations. Major sections cover basic concepts, diagnostic radiology, nuclear medicine, and radiation protection, dosimetry, and biology. A Brandon-Hill recommended title.
| Author | : Gabor T. Herman |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 401 |
| Release | : 2008-01-19 |
| Genre | : Technology & Engineering |
| ISBN | : 0817645438 |
The book provides a unified presentation of new methods, algorithms, and select applications that are the foundations of multidimensional image construction and reconstruction. The self-contained survey chapters, written by leading mathematicians, engineers, and computer scientists, present cutting-edge research and results in the field. Three main areas are covered: theoretical results, algorithms, and practical applications. Following an historical and introductory overview of the field, the book explores the various mathematical and computational problems of discrete tomography with an emphasis on new applications.
| Author | : Andrew Markoe |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 176 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821837559 |
This volume consists of a collection of papers that brings together fundamental research in Radon transforms, integral geometry, and tomography. It grew out of the Special Session at a Sectional Meeting of the American Mathematical Society in 2004. The book contains very recent work of some of the top researchers in the field. The articles in the book deal with the determination of properties of functions on a manifold by integral theoretic methods, or by determining the geometricstructure of subsets of a manifold by analytic methods. Of particular concern are ways of reconstructing an unknown function from some of its projections. Radon transforms were developed at the beginning of the twentieth century by researchers who were motivated by problems in differential geometry,mathematical physics, and partial differential equations. Later, medical applications of these transforms produced breakthroughs in imaging technology that resulted in the 1979 Nobel Prize in Physiology and Medicine for the development of computerized tomography. Today the subject boasts substantial cross-disciplinary interactions, both in pure and applied mathematics as well as medicine, engineering, biology, physics, geosciences, and industrial testing. Therefore, this volume should be ofinterest to a wide spectrum of researchers both in mathematics and in other fields.
| Author | : Vitor Balestro |
| Publisher | : Springer Nature |
| Total Pages | : 1195 |
| Release | : |
| Genre | : |
| ISBN | : 3031505077 |
| Author | : Dorothy Lam |
| Publisher | : |
| Total Pages | : 110 |
| Release | : 1999 |
| Genre | : |
| ISBN | : |
| Author | : Library of Congress |
| Publisher | : |
| Total Pages | : 1810 |
| Release | : 2007 |
| Genre | : Subject headings, Library of Congress |
| ISBN | : |
| Author | : Library of Congress. Cataloging Policy and Support Office |
| Publisher | : |
| Total Pages | : 1588 |
| Release | : 2007 |
| Genre | : Subject headings, Library of Congress |
| ISBN | : |
| Author | : Jean-Charles Pinoli |
| Publisher | : John Wiley & Sons |
| Total Pages | : 397 |
| Release | : 2014-07-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1118984552 |
Mathematical Imaging is currently a rapidly growing field in applied mathematics, with an increasing need for theoretical mathematics. This book, the second of two volumes, emphasizes the role of mathematics as a rigorous basis for imaging sciences. It provides a comprehensive and convenient overview of the key mathematical concepts, notions, tools and frameworks involved in the various fields of gray-tone and binary image processing and analysis, by proposing a large, but coherent, set of symbols and notations, a complete list of subjects and a detailed bibliography. It establishes a bridge between the pure and applied mathematical disciplines, and the processing and analysis of gray-tone and binary images. It is accessible to readers who have neither extensive mathematical training, nor peer knowledge in Image Processing and Analysis. It is a self-contained book focusing on the mathematical notions, concepts, operations, structures, and frameworks that are beyond or involved in Image Processing and Analysis. The notations are simplified as far as possible in order to be more explicative and consistent throughout the book and the mathematical aspects are systematically discussed in the image processing and analysis context, through practical examples or concrete illustrations. Conversely, the discussed applicative issues allow the role of mathematics to be highlighted. Written for a broad audience – students, mathematicians, image processing and analysis specialists, as well as other scientists and practitioners – the author hopes that readers will find their own way of using the book, thus providing a mathematical companion that can help mathematicians become more familiar with image processing and analysis, and likewise, image processing and image analysis scientists, researchers and engineers gain a deeper understanding of mathematical notions and concepts.
