Geometric Description of Images as Topographic Maps [recurso electrónico] / by Vicent Caselles, Pascal Monasse.
Tipo de material: TextoSeries 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 electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
---|---|---|---|---|---|---|---|
Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA76.9 .I52 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 373664-2001 |
Navegando Biblioteca Electrónica Estantes, Código de colección: Colección de Libros Electrónicos Cerrar el navegador de estanterías (Oculta el navegador de estanterías)
QA76.9 .E94 Euro-Par 2010 Parallel Processing Workshops | QA76.9 .E94 Integrated Circuit and System Design. Power and Timing Modeling, Optimization, and Simulation | QA76.9 .H85 M64 2007 EB Designing interactions | QA76.9 .I52 Geometric Description of Images as Topographic Maps | QA76.9 .I52 Analysis and Design of Univariate Subdivision Schemes | QA76.9 .I52 Topological Methods in Data Analysis and Visualization | QA76.9 .L63 Perspectives of Systems Informatics |
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.
19