Geometry of Digital Spaces

  • Gabor T. Herman

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-x
  2. Gabor T. Herman
    Pages 1-42
  3. Gabor T. Herman
    Pages 43-56
  4. Gabor T. Herman
    Pages 57-79
  5. Gabor T. Herman
    Pages 81-99
  6. Gabor T. Herman
    Pages 101-134
  7. Gabor T. Herman
    Pages 135-154
  8. Gabor T. Herman
    Pages 155-175
  9. Gabor T. Herman
    Pages 177-203
  10. Back Matter
    Pages 205-216

About this book


"La narraci6n literaria es la evocaci6n de las nostalgias. " ("Literary narration is the evocation of nostalgia. ") G. G. Marquez, interview in Puerta del Sol, VII, 4, 1996. A Personal Prehistory In 1972 I started cooperating with members of the Biodynamics Research Unit at the Mayo Clinic in Rochester, Minnesota, which was under the direction of Earl H. Wood. At that time, their ambitious (and eventually realized) dream was to build the Dynamic Spatial Reconstructor (DSR), a device capable of collecting data regarding the attenuation of X-rays through the human body fast enough for stop-action imaging the full extent of the beating heart inside the thorax. Such a device can be applied to study the dynamic processes of cardiopulmonary physiology, in a manner similar to the application of an ordinary cr (computerized tomography) scanner to observing stationary anatomy. The standard method of displaying the information produced by a cr scanner consists of showing two-dimensional images, corresponding to maps of the X-ray attenuation coefficient in slices through the body. (Since different tissue types attenuate X-rays differently, such maps provide a good visualization of what is in the body in those slices; bone - which attenuates X-rays a lot - appears white, air appears black, tumors typically appear less dark than the surrounding healthy tissue, etc. ) However, it seemed to me that this display mode would not be appropriate for the DSR.


Connected space Geometry Graph Graph theory Sim Spaces algorithms

Authors and affiliations

  • Gabor T. Herman
    • 1
  1. 1.MIPG, Department of RadiologyUniversity of PennsylvaniaPhiladelphiaUSA

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