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Geometry of Digital Spaces
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Geometry of Digital Spaces Hardcover - 1998 - 1st Edition

by Gabor T. Herman

In attempting to design computation procedures for visualization and analysis of multi-dimensional discrete data, the need for mathematical analysis of surfaces, objects and their boundaries in discrete space becomes apparent. This book introduces the field of geometry of digital spaces using an applications-oriented approach.


From the publisher

"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.

Details

  • Title Geometry of Digital Spaces
  • Author Gabor T. Herman
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 216
  • Volumes 1
  • Language ENG
  • Publisher Birkhauser, Boston
  • Date 1998-04-01
  • ISBN 9780817638979 / 0817638970
  • Weight 1.34 lbs (0.61 kg)
  • Dimensions 10.27 x 7.27 x 0.67 in (26.09 x 18.47 x 1.70 cm)
  • Library of Congress subjects Computer graphics, Geometry
  • Library of Congress Catalog Number 98-4736
  • Dewey Decimal Code 621.367
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Geometry of Digital Spaces
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Geometry of Digital Spaces

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Geometry of Digital Spaces (Applied and Numerical Harmonic Analysis)
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Geometry of Digital Spaces (Applied and Numerical Harmonic Analysis)

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Geometry of Digital Spaces
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Geometry of Digital Spaces

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GEOMETRY OF DIGITAL SPACES
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Geometry of Digital Spaces
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GEOMETRY OF DIGITAL SPACES (APPLIED AND NUMERICAL HARMONIC ANALYSIS)

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