Euclidean Harmonic Analysis: Proceedings of Seminars Held at the University of Maryland, 1979

John J. Benedetto (auth.), John J. Benedetto (eds.)9780387097480, 0-387-09748-1

Biomedical image analysis has become a major aspect of engineering sciences, and radiology in particular has become a dominant player in the field. Recent developments have made it possible to use biomedical imaging to view the human body from an anatomical or physiological perspective in a non-invasive fashion. Computer-aided diagnosis consists of developing algorithms and intelligent software components that can automatically process images and spot potential irregularities in the health chain.

The aim of this book is to explain the process of biomedical imaging, from image acquisition to automated diagnosis. This process consists of three thematic areas. The first is dedicated to the acquisition process and the underlying properties of images from a physics-oriented perspective. The second part addresses the dominant state-of-the-art methodologies behind content extraction and interpretation of medical images. The third section presents an application-based example, which develops solutions to address the particular needs of various diagnoses.

This complete volume is an exceptional tool for radiologists, research scientists, senior undergraduate and graduate students in health sciences and engineering, and university professors. This book offers a unique guide to the entire chain of biomedical imaging, explaining how image formation is done, and how the most appropriate algorithms are used to address demands and diagnoses.

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Table of contents :
Introduction….Pages 1-4
Some analytic problems related to statistical mechanics….Pages 5-45
On spectral synthesis in ℝ n , n ≥ 2….Pages 46-72
Spectral synthesis and stability in Sobolev spaces….Pages 73-103
Fourier analysis of multilinear convolutions, Calderón’s theorem, and analysis on Lipschitz curves….Pages 104-122
The complex method for interpolation of operators acting on families of Banach spaces….Pages 123-153
Maximal functions: A problem of A. Zygmund….Pages 154-161
Multipliers of F(L P )….Pages 162-177