The Springer International Series in Engineering and Computer Science

Scale-Space Theory in Computer Vision

Authors: Lindeberg, Tony

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About this book

The problem of scale pervades both the natural sciences and the vi­ sual arts. The earliest scientific discussions concentrate on visual per­ ception (much like today!) and occur in Euclid's (c. 300 B. C. ) Optics and Lucretius' (c. 100-55 B. C. ) On the Nature of the Universe. A very clear account in the spirit of modern "scale-space theory" is presented by Boscovitz (in 1758), with wide ranging applications to mathemat­ ics, physics and geography. Early applications occur in the cartographic problem of "generalization", the central idea being that a map in order to be useful has to be a "generalized" (coarse grained) representation of the actual terrain (Miller and Voskuil 1964). Broadening the scope asks for progressive summarizing. Very much the same problem occurs in the (realistic) artistic rendering of scenes. Artistic generalization has been analyzed in surprising detail by John Ruskin (in his Modern Painters), who even describes some of the more intricate generic "scale-space sin­ gularities" in detail: Where the ancients considered only the merging of blobs under blurring, Ruskin discusses the case where a blob splits off another one when the resolution is decreased, a case that has given rise to confusion even in the modern literature.

Reviews

` This approach will certainly turn out to be part of the foundations of the theory and practice of machine vision ... the author has no doubt performed an excellent service to many in the field of both artificial and biological vision. '
Jan Koenderink

Table of contents (15 chapters)

  • Introduction and overview

    Lindeberg, Tony

    Pages 1-28

  • Linear scale-space and related multi-scale representations

    Lindeberg, Tony

    Pages 31-60

  • Scale-space for 1-D discrete signals

    Lindeberg, Tony

    Pages 61-100

  • Scale-space for N-D discrete signals

    Lindeberg, Tony

    Pages 101-122

  • Discrete derivative approximations with scale-space properties

    Lindeberg, Tony

    Pages 123-148

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4757-6465-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $259.00
price for USA
  • ISBN 978-0-7923-9418-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.00
price for USA
  • ISBN 978-1-4419-5139-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Scale-Space Theory in Computer Vision
Authors
Series Title
The Springer International Series in Engineering and Computer Science
Series Volume
256
Copyright
1994
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-6465-9
DOI
10.1007/978-1-4757-6465-9
Hardcover ISBN
978-0-7923-9418-1
Softcover ISBN
978-1-4419-5139-7
Series ISSN
0893-3405
Edition Number
1
Number of Pages
XII, 424
Topics