عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
1119579511
1119579546
9781119579519
9781119579540
1786301571
9781786301574
EB00753035
Recorded Books
Topographical Tools for Filtering and Segmentation :
[Book]
Watersheds on Node- or Edge-Weighted Graphs.
Newark :
John Wiley & Sons, Incorporated,
2019.
1 online resource (319 pages)
Cover; Half-Title Page; Title Page; Copyright Page; Table of Contents; Notations; Introduction; General organization; Outline of volume 1; Outline of volume 2; Conclusion; PART 1: Getting Started; 1. A Primer to Flooding, Razing and Watersheds; 1.1. Topographic reliefs and topographic features; 1.1.1. Images seen as topographic reliefs and inversely; 1.1.2. Topographic features; 1.1.3. Modeling a topographic relief as a weighted graph; 1.2. Flooding, razing and morphological filters; 1.2.1. The principle of duality; 1.2.2. Dominated flooding and razing
1.2.3. Flooding, razing and catchment zones of a topographic relief1.3. Catchment zones of flooded surfaces; 1.3.1. Filtering and segmenting; 1.3.2. Reducing the oversegmentation with markers; 1.4. The waterfall hierarchy; 1.4.1. Overflows between catchment basins; 1.5. Size-driven hierarchies; 1.6. Separating overlapping particles in n dimensions; 1.7. Catchment zones and lakes of region neighborhood graphs; 1.8. Conclusion; 2. Watersheds and Flooding: a Segmentation Golden Braid; 2.1. Watersheds, offsprings and parallel branches; 2.2. Flooding and connected operators
2.3. Connected operators and hierarchies2.4. Hierarchical segmentation: extinction values; 3. Mathematical Notions; 3.1. Summary of the chapter; 3.2. Complete lattices; 3.2.1. Partial order and partially ordered sets; 3.2.2. Upper and lower bounds; 3.2.3. Complete lattices; 3.2.4. Dyadic relations on a complete lattice; 3.3. Operators between complete lattices; 3.3.1. Definition of an operator; 3.3.2. Properties of the operators; 3.3.3. Erosion and dilation; 3.3.4. Opening and closing; 3.4. The adjunction: a cornerstone of mathematical morphology; 3.4.1. Adjoint erosions and dilations
3.4.2. Increasingness3.4.3. Unicity; 3.4.4. Composition; 3.4.5. Dual operators; 3.5. Openings and closings; 3.5.1. Definitions; 3.5.2. Elements with the same erosion or the same dilation; 3.5.3. The invariants of an opening or a closing; 3.6. Complete lattices of functions; 3.6.1. Definitions; 3.6.2. Infimum and supremum; PART 2: The Topography of Weighted Graphs; 4. Weighted Graphs; 4.1. Summary of the chapter; 4.2. Reminders on graphs; 4.2.1. Directed and undirected graphs; 4.3. Weight distributions on the nodes or edges of a graph; 4.3.1. Duality
4.3.2. Erosions and dilations, openings, closings4.3.3. Labels; 4.4. Exploring the topography of graphs by following a drop of water; 4.5. Node-weighted graphs; 4.5.1. Flat zones and regional minima; 4.5.2. Flowing paths and catchment zones; 4.6. Edge-weighted graphs; 4.6.1. Flat zones and regional minima; 4.6.2. Flowing paths and catchment zones; 4.6.3. Even zones and regional minima; 4.7. Comparing the topography of node-weighted graphs and edge-weighted graphs; 5. Flowing Graphs; 5.1. Summary of the chapter; 5.2. Towards a convergence between node-and edge-weighted graphs
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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 1 is devoted to watersheds. The topography of a graph appears by observing the evolution of a drop of water moving from node to node on a weighted graph, along flowing paths, until it reaches regional minima. The upstream nodes of a regional minimum constitute its catchment zone. The catchment zones may be constructed independently of each other and locally, in contrast with the traditional approach where the catchment basins have to be constructed all at the same time. Catchment zones may overlap, and thus, a new segmentation paradigm is proposed in which catchment zones cover each other according to a priority order. The resulting partition may then be corrected, by local and parallel treatments, in order to achieve the desired precision.
Topographical Tools for Filtering and Segmentation : Watersheds on Node- or Edge-Weighted Graphs.
9781786301574
Technology.
TECHNOLOGY & ENGINEERING-- Signals & Signal Processing.
Technology.
Meyer, Fernand.
20200822154851.0
pn
مطالعه متن کتاب [Book]
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