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Topographical Tools for Filtering and Segmentation 2 : Flooding and Marker-Based Segmentation on Node- or Edge-weighted Graphs.
Mathematical morphology has developed a powerful methodology for segmenting images, based on connected filters and watersheds. We have chosen the abstract framework of node- or edge-weighted graphs for an extensive mathematical and algorithmic description of these tools. Volume 2 proposes two physic...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2019.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-Title Page; Title Page; Copyright Page; Table of Contents; Notations; Volume 1; Mathematical notions; Weighted graphs; Flowing graphs; The topography of digraphs; Measuring the steepness of flowing paths; Pruning a flow digraph; Constructing an ∞−steep digraph by flooding; Creating steep watershed partitions; An historical intermezzo; Encoding the digraph associated with an image; Volume 2; Modeling flooding; Lakes and regional minima; Among all flooding, choosing one; Flooding and flooding distances; Graph flooding via dendrograms
- Minimum spanning forests and watershed partitionsMarker-based segmentation; Introduction; General organization; Outline of volume 1; Part 1. Getting started; Part 2. The topography of weighted graphs; Part 3. Reducing the overlapping of catchment zones; Part 4. Segmenting with dead leaves partitions; Outline of volume 2; Part 1. Flooding; Part 2. Modeling a real hydrographic basin; Part 3. Watershed partitions; Conclusion; PART 1: Flooding; 1. Modelling Flooding in Edge or Node-weighted Graphs; 1.1. Summary of the chapter; 1.2. The importance of flooding; 1.2.1. Flooding creates lakes
- 1.2.2. Flooding for controlling watershed segmentation1.2.3. Flooding, razing, leveling and flattening; 1.3. Description of the flood covering a topographic surface; 1.3.1. Observing the same flooding on two levels of abstraction; 1.3.2. Modeling the two scales of flooding: at the pixel level or at the region level; 1.3.3. Modeling a flooded topographic surface as a node-weighted graph; 1.3.4. Modeling an edge-weighted graph as a tank network; 1.4. The relations between n-floodings and e-floodings; 1.4.1. Modeling the flooding on two scales: equivalence of both models