Skip to main content
SpringerLink
Log in
Birkhäuser

Geometry of Digital Spaces

  • Textbook
  • © 1998

Overview

Authors:
  1. Gabor T. Herman

    1. MIPG, Department of Radiology, University of Pennsylvania, Philadelphia, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

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

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Cloning Flies on Sugar Cubes

    • Gabor T. Herman
    Pages 1-42

  3. Enhancing the Cube

    • Gabor T. Herman
    Pages 43-56

  4. Digital Spaces

    • Gabor T. Herman
    Pages 57-79

  5. Topological Digital Spaces

    • Gabor T. Herman
    Pages 81-99

  6. Binary Pictures

    • Gabor T. Herman
    Pages 101-134

  7. Simply Connected Digital Spaces

    • Gabor T. Herman
    Pages 135-154

  8. Jordan Graphs

    • Gabor T. Herman
    Pages 155-175

  9. Boundary Tracking

    • Gabor T. Herman
    Pages 177-203

  10. Back Matter

    Pages 205-216
    Download chapter PDF
Back to top

Keywords

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.

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

Authors and Affiliations

  • MIPG, Department of Radiology, University of Pennsylvania, Philadelphia, USA

    Gabor T. Herman

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation