Geometric description of images as topographic maps

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, morpholo...

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Detalles Bibliográficos
Auteurs principaux: Caselles, Vicent, 1960-2013, Monasse, Pascal, 19..-...., mathématicien (Auteur)
Formato: Livre numérique
Idioma:Anglais
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Edición:1st ed. 2010.
Series:Lecture Notes in Mathematics 1984
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Nota: L'impression du document génère 192 p.
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Edition sous un autre format:• Geometric description of images as topographic maps, Vicent Caselles, Pascal Monasse, Berlin, Springer, 2010, 1 vol. (XVII-186 p.), Lecture notes in mathematics, 978-3-642-04610-0
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Résumé: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.
descrición da copia:L'impression du document génère 192 p.
Archives Springer e-books (Licence nationale)
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Bibliografía:Bibliogr. Index
ISBN:9783642046117
ISSN:1617-9692
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