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Coll.19/ 20 (XI A Coll. 28/20)$b44445 L.M.$cXI A Coll. 959 $aBK 969 $aUMA 979 $aSIAV4$b10$c20040806$lUSA01$h1712 979 $aCOPAT4$b90$c20051010$lUSA01$h1401 996 $aHelmolds Slavenchronik$9953262 997 $aUNISA LEADER 04409nam 22008175 450 001 996466511603316 005 20200703104853.0 010 $a1-280-39159-6 010 $a9786613569516 010 $a3-642-04611-8 024 7 $a10.1007/978-3-642-04611-7 035 $a(CKB)2670000000007016 035 $a(SSID)ssj0000399632 035 $a(PQKBManifestationID)11250031 035 $a(PQKBTitleCode)TC0000399632 035 $a(PQKBWorkID)10376321 035 $a(PQKB)11710124 035 $a(DE-He213)978-3-642-04611-7 035 $a(MiAaPQ)EBC3064932 035 $a(PPN)149078552 035 $a(EXLCZ)992670000000007016 100 $a20100301d2010 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aGeometric Description of Images as Topographic Maps$b[electronic resource] /$fby Vicent Caselles, Pascal Monasse 205 $a1st ed. 2010. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2010. 215 $a1 online resource (XVII, 192 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1984 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-642-04610-X 311 $a3-642-04624-X 320 $aIncludes bibliographical references and index. 327 $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. 330 $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. 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