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001			978-3-642-04611-7
003			DE-He213
005			20190213151756.0
007			cr nn 008mamaa
008			100301s2010 gw | s |||| 0|eng d
020			_a9783642046117 _9978-3-642-04611-7
024	7		_a10.1007/978-3-642-04611-7 _2doi
050		4	_aQA268
072		7	_aGPJ _2bicssc
072		7	_aCOM031000 _2bisacsh
072		7	_aGPJ _2thema
072		7	_aGPF _2thema
082	0	4	_a003.54 _223
100	1		_aCaselles, Vicent. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
245	1	0	_aGeometric Description of Images as Topographic Maps _h[electronic resource] / _cby Vicent Caselles, Pascal Monasse.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aXVII, 192 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1984
505	0		_aThe Tree of Shapes of an Image -- Grain Filters -- A Topological Description of the Topographic Map -- Merging the Component Trees -- Computation of the Tree of Shapes of a Digital Image -- Computation of the Tree of Bilinear Level Lines -- Applications.
520			_aThis volume discusses the basic geometric contents of an image and presents a tree data structure to handle those contents efficiently. The nodes of the tree are derived from connected components of level sets of the intensity, while the edges represent inclusion information. Grain filters, morphological operators simplifying these geometric contents, are analyzed and several applications to image comparison and registration, and to edge and corner detection, are presented. The mathematically inclined reader may be most interested in Chapters 2 to 6, which generalize the topological Morse description to continuous or semicontinuous functions, while mathematical morphologists may more closely consider grain filters in Chapter 3. Computer scientists will find algorithmic considerations in Chapters 6 and 7, the full justification of which may be found in Chapters 2 and 4 respectively. Lastly, all readers can learn more about the motivation for this work in the image processing applications presented in Chapter 8.
650		0	_aCoding theory.
650		0	_aTopology.
650		0	_aMathematics.
650		0	_aArtificial intelligence.
650		0	_aCombinatorics.
650	1	4	_aCoding and Information Theory. _0http://scigraph.springernature.com/things/product-market-codes/I15041
650	2	4	_aTopology. _0http://scigraph.springernature.com/things/product-market-codes/M28000
650	2	4	_aDiscrete Mathematics. _0http://scigraph.springernature.com/things/product-market-codes/M29000
650	2	4	_aInformation and Communication, Circuits. _0http://scigraph.springernature.com/things/product-market-codes/M13038
650	2	4	_aArtificial Intelligence. _0http://scigraph.springernature.com/things/product-market-codes/I21000
650	2	4	_aCombinatorics. _0http://scigraph.springernature.com/things/product-market-codes/M29010
700	1		_aMonasse, Pascal. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642046247
776	0	8	_iPrinted edition: _z9783642046100
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1984
856	4	0	_uhttps://doi.org/10.1007/978-3-642-04611-7
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c11847 _d11847