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Scale-Space Theory in Computer Vision

  • Book
  • © 1994

Overview

Authors:
  1. Tony Lindeberg

    1. Royal Institute of Technology, Stockholm, Sweden

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Part of the book series: The Springer International Series in Engineering and Computer Science (SECS, volume 256)

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Table of contents (15 chapters)

  1. Front Matter

    Pages N3-xii
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  2. Introduction and overview

    1. Introduction and overview

      • Tony Lindeberg
      Pages 1-28

  3. Basic scale-space theory

    1. Front Matter

      Pages 29-29
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    2. Linear scale-space and related multi-scale representations

      • Tony Lindeberg
      Pages 31-60

    3. Scale-space for 1-D discrete signals

      • Tony Lindeberg
      Pages 61-100

    4. Scale-space for N-D discrete signals

      • Tony Lindeberg
      Pages 101-122

    5. Discrete derivative approximations with scale-space properties

      • Tony Lindeberg
      Pages 123-148

    6. Feature detection in scale-space

      • Tony Lindeberg
      Pages 149-162

  4. The scale-space primal sketch: Theory

    1. Front Matter

      Pages 163-163
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    2. The scale-space primal sketch

      • Tony Lindeberg
      Pages 165-186

    3. Behaviour of image structures in scale-space: Deep structure

      • Tony Lindeberg
      Pages 187-226

    4. Algorithm for computing the scale-space primal sketch

      • Tony Lindeberg
      Pages 227-246

  5. The scale-space primal sketch: Applications

    1. Front Matter

      Pages 247-247
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    2. Detecting salient blob-like image structures and their scales

      • Tony Lindeberg
      Pages 249-270

    3. Guiding early visual processing with qualitative scale and region information

      • Tony Lindeberg
      Pages 271-306

    4. Summary and discussion

      • Tony Lindeberg
      Pages 307-314

  6. Scale selection and shape computation in a visual front-end

    1. Front Matter

      Pages 315-315
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    2. Scale selection for differential operators

      • Tony Lindeberg
      Pages 317-348

    3. Direct computation of shape cues by scale-space operations

      • Tony Lindeberg
      Pages 349-382

    4. Non-uniform smoothing

      • Tony Lindeberg
      Pages 383-394
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Keywords

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-spacesin­ 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

Authors and Affiliations

  • Royal Institute of Technology, Stockholm, Sweden

    Tony Lindeberg

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