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Scale-Space Theory in Computer Vision

Scale-Space Theory in Computer Vision

Paperback

Series: The Springer International Engineering and Computer Science, Book 256

Technology & EngineeringGeneral Computers

ISBN10: 1441951393
ISBN13: 9781441951397
Publisher: Springer Nature
Published: Dec 2 2010
Pages: 424
Weight: 1.35
Height: 0.89 Width: 6.14 Depth: 9.21
Language: English
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.

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