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Applied and Numerical Harmonic Analysis

Geometry of Digital Spaces

Authors: Herman, Gabor T.

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  • ISBN 978-1-4612-8669-1
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About this Textbook

"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.

Reviews

"There are only a few books that address the processing of digital spaces...in a mathematically rigorous manner: this book is one of them... A valuable contribution to formally study and present modern digital data processing methods."

–Mathematical Reviews


Table of contents (8 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4612-4136-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.95
price for USA
  • ISBN 978-0-8176-3897-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $89.95
price for USA
  • ISBN 978-1-4612-8669-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometry of Digital Spaces
Authors
Series Title
Applied and Numerical Harmonic Analysis
Copyright
1998
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4612-4136-2
DOI
10.1007/978-1-4612-4136-2
Hardcover ISBN
978-0-8176-3897-9
Softcover ISBN
978-1-4612-8669-1
Series ISSN
2296-5009
Edition Number
1
Number of Pages
X, 216
Topics