• Russell K. Hobbie
  • Bradley J. Roth


Images are very important in the remainder of this book. They may be formed by the eye, a camera, an xray machine, a nuclear medicine camera, magnetic resonance imaging, or ultrasound. The concepts developed in Chapter 11 can be used to understand and describe image quality. The same concepts are also used to reconstruct computed tomographic or magnetic resonance slice images of the body. A very complete, advanced mathematical treatment of all kinds of images is found in a 1500-page book by Barrett and Myers (2004).


Spatial Frequency Impulse Response Modulation Transfer Function Filter Back Projection High Spatial Frequency 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Abramowitz, M. and I. A. Stegun. (1972). Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables. Washington, U.S. Government Printing Office.zbMATHGoogle Scholar
  2. Barrett, H. H. and K. J. Myers (2004). Foundations of Image Science. New York, Wiley-Interscience.Google Scholar
  3. Cho, Z.-h., J. P. Jones, and M. Singh (1993). Foundations of Medical Imaging. New York, Wiley.Google Scholar
  4. Delaney, C. and J. Rodriguez (2002). A simple medical physics experiment based on a laser pointer. Amer. J. Phys. 70(10): 1068–1070.CrossRefADSGoogle Scholar
  5. Gaskill, J. D. (1978). Linear Systems, Fourier Transforms, and Optics. New York, Wiley.Google Scholar
  6. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery (1992). Numerical Recipes in C: The Art of Scientific Computing, 2nd ed., reprinted with corrections, 1995. New York, Cambridge University Press.Google Scholar
  7. Ramachandran, G. N., and A. V. Lakshminarayanan (1971). Three-dimensional reconstruction from radiographs and electron micrographs: Application of convolutions instead of Fourier transforms. Proc. Nat. Acad. Sci. U.S. 68: 2236–2240.CrossRefADSMathSciNetGoogle Scholar
  8. Shaw, R. (1979). Photographic Detectors. Ch. 5 of Applied Optics and Optical Engineering, New York, Academic, Vol. 7, pp. 121–154.Google Scholar
  9. Williams, C. S., and O. A. Becklund (1972). Optics: A Short Course for Engineers and Scientists. New York, Wiley.Google Scholar

Copyright information

© Springer 2007

Authors and Affiliations

  • Russell K. Hobbie
    • 1
  • Bradley J. Roth
    • 2
  1. 1.Professor of Physics, Emeritus University of Minnesota
  2. 2.Associate Professor of Physics Oakland UniversityOakland

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