Self-duality and Digital Topology: Links Between the Morphological Tree of Shapes and Well-Composed Gray-Level Images
From MaRDI portal
Publication:2946843
DOI10.1007/978-3-319-18720-4_48zbMath1445.68253OpenAlexW2296203018MaRDI QIDQ2946843
Thierry Géraud, Sébastien Crozet, Edwin Carlinet
Publication date: 18 September 2015
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01476218/file/article.pdf
Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Computational aspects of digital topology (68U03)
Related Items (8)
How to Make nD Functions Digitally Well-Composed in a Self-dual Way ⋮ Introducing poset-based connected \(n\)-manifolds and \(\mathcal{P} \)-well-composedness in partially ordered sets ⋮ Topological properties of the first non-local digitally well-composed interpolation on \(n\)-D cubical grids ⋮ A tutorial on well-composedness ⋮ A new matching algorithm between trees of shapes and its application to brain tumor segmentation ⋮ Stability of the tree of shapes to additive noise ⋮ Introducing the Dahu Pseudo-Distance ⋮ Morphological Hierarchical Image Decomposition Based on Laplacian 0-Crossings
Cites Work
- Unnamed Item
- A theory of shape identification
- Geometric description of images as topographic maps
- Preserving topology by a digitization process
- Grain filters
- 3D well-composed polyhedral complexes
- On Making nD Images Well-Composed by a Self-dual Local Interpolation
- The tree of shapes of an image
- Tree-Based Morse Regions: A Topological Approach to Local Feature Detection
- Discrete Set-Valued Continuity and Interpolation
- A Quasi-linear Algorithm to Compute the Tree of Shapes of nD Images
- Topological Well-Composedness and Glamorous Glue: A Digital Gluing Algorithm for Topologically Constrained Front Propagation
This page was built for publication: Self-duality and Digital Topology: Links Between the Morphological Tree of Shapes and Well-Composed Gray-Level Images
