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Geometric description of images as topographic maps / / Vicent Caselles, Pascal Monasse



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Autore: Caselles Vicent <1960-> Visualizza persona
Titolo: Geometric description of images as topographic maps / / Vicent Caselles, Pascal Monasse Visualizza cluster
Pubblicazione: Heidelberg, : Springer, c2010
Edizione: 1st ed. 2010.
Descrizione fisica: 1 online resource (XVII, 192 p.)
Disciplina: 003.54
Soggetto topico: Image processing - Mathematical models
Geometric analysis
Topographic maps
Classificazione: 68U1094A0805C05
Altri autori: MonassePascal  
Note generali: Bibliographic Level Mode of Issuance: Monograph
Nota di bibliografia: Includes bibliographical references and index.
Nota di contenuto: The 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.
Sommario/riassunto: This 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.
Titolo autorizzato: Geometric description of images as topographic maps  Visualizza cluster
ISBN: 9786613569516
9781280391590
1280391596
9783642046117
3642046118
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910768166703321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1984