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Scale-Space Theory in Computer Vision

✍ Scribed by Tony Lindeberg (auth.)


Publisher
Springer US
Year
1994
Tongue
English
Leaves
435
Series
The Springer International Series in Engineering and Computer Science 256
Edition
1
Category
Library

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✦ Synopsis


The problem of scale pervades both the natural sciences and the viΒ­ sual arts. The earliest scientific discussions concentrate on visual perΒ­ 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 mathematΒ­ 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 sinΒ­ 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.

✦ Table of Contents


Front Matter....Pages N3-xii
Introduction and overview....Pages 1-28
Front Matter....Pages 29-29
Linear scale-space and related multi-scale representations....Pages 31-60
Scale-space for 1-D discrete signals....Pages 61-100
Scale-space for N-D discrete signals....Pages 101-122
Discrete derivative approximations with scale-space properties....Pages 123-148
Feature detection in scale-space....Pages 149-162
Front Matter....Pages 163-163
The scale-space primal sketch....Pages 165-186
Behaviour of image structures in scale-space: Deep structure....Pages 187-226
Algorithm for computing the scale-space primal sketch....Pages 227-246
Front Matter....Pages 247-247
Detecting salient blob-like image structures and their scales....Pages 249-270
Guiding early visual processing with qualitative scale and region information....Pages 271-306
Summary and discussion....Pages 307-314
Front Matter....Pages 315-315
Scale selection for differential operators....Pages 317-348
Direct computation of shape cues by scale-space operations....Pages 349-382
Non-uniform smoothing....Pages 383-394
Back Matter....Pages 395-423

✦ Subjects


Computer Imaging, Vision, Pattern Recognition and Graphics; Image Processing and Computer Vision; Signal, Image and Speech Processing


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