Geometric Description of Images as Topographic Maps [recurso electrónico] / by Vicent Caselles, Pascal Monasse.

Por: Caselles, Vicent [author.]Colaborador(es): Monasse, Pascal [author.] | SpringerLink (Online service)Tipo de material: TextoTextoSeries Lecture Notes in Mathematics ; 1984Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XVII, 192p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642046117Tema(s): Mathematics | Visualization | Combinatorics | Mathematics | Visualization | Information and Communication, Circuits | CombinatoricsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 004 Clasificación LoC:QA76.9.I52Recursos en línea: Libro electrónicoTexto
Contenidos:
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.
En: Springer eBooksResumen: 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.
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Colección de Libros Electrónicos QA76.9 .I52 (Browse shelf(Abre debajo)) 1 No para préstamo 373664-2001

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.

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.

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