The Radon Transform and Some of Its ApplicationsCourier Corporation, 2007 M10 1 - 295 pages Of value to mathematicians, physicists, engineers, and medical imaging scientists this excellent introduction to Radon transform covers both theory and applications. It also features a rich array of examples and literature that forms a valuable reference. The author, a professor in the Department of Physics at the University of South Florida, wrote this pioneering work in 1983. This edition is his revised and updated version. In addition to presenting background on the properties of the Radon transform itself--complete with examples that demonstrate the more subtle points--this book illustrates numerous applications and offers extensive guidance to related literature. Beginning with major applications in medicine, optics, astronomy, and other fields, it progresses to formal definitions of the transform and related properties. Subsequent chapters cover relationships with other transforms, inversion, series methods, and recent developments. Clear, easy to read, and well organized, the mathematical treatment is accessible to a wide audience. Helpful appendixes include a translation of the 1917 paper by J. Radon that announced the transform's discovery, plus practical information on generalized and special functions. |
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algorithms angle aperture synthesis applications Assisted Tomog attenuation backprojection beam Biol Bracewell 1978 Brooks Budinger Chiro coefficients computed tomography computerized converge convolution coordinates Cormack Crowther defined density DeRosier discussed distribution dx dy electron emission equation Example filtered follows Fourier transform frequency function G. T. Herman Gilbert Gordon Greenleaf Gullberg Helgason Hermite polynomials Huesman IEEE IEEE Trans image reconstruction inversion formula Johnson Kenue Klug Lakshminarayanan Lauterbur line integral linear Macovski Math Mathematical methods Naparstek NMR imaging Nucl nuclear magnetic resonance observe obtained occultation optical orthogonal photon Phys plane problem Proc projection-slice theorem radiation radio astronomy Radon space Radon transform reconstruction from projections references therein result sequences Shepp singular distribution Solmon space techniques theorem tion transverse section two-dimensional ultrasonic ultrasound unit vector variables X-ray yields York Zernike polynomials zero др