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Scale-Space Theory in Computer Vision (Hardcover, 1994 ed.)
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Scale-Space Theory in Computer Vision (Hardcover, 1994 ed.)
Series: The Springer International Series in Engineering and Computer Science, 256
Expected to ship within 12 - 17 working days
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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."
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