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008 100301s2010 gw | s |||| 0|eng d
020 _a9783642046117
_9978-3-642-04611-7
040 _cMX-MeUAM
050 4 _aQA76.9.I52
082 0 4 _a004
_223
100 1 _aCaselles, Vicent.
_eauthor.
245 1 0 _aGeometric Description of Images as Topographic Maps
_h[recurso electrónico] /
_cby Vicent Caselles, Pascal Monasse.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aXVII, 192p.
_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 _aMathematics.
650 0 _aVisualization.
650 0 _aCombinatorics.
650 1 4 _aMathematics.
650 2 4 _aVisualization.
650 2 4 _aInformation and Communication, Circuits.
650 2 4 _aCombinatorics.
700 1 _aMonasse, Pascal.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642046100
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1984
856 4 0 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-3-642-04611-7
596 _a19
942 _cLIBRO_ELEC
999 _c201544
_d201544