Surface-based computation of the Euler characteristic in the BCC grid
DOI10.1007/s10851-023-01153-yOpenAlexW4384499719MaRDI QIDQ6186789
Publication date: 10 January 2024
Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10851-023-01153-y
Morse theoryEuler characteristicdigital topologydiscrete Gauss-Bonnet theorembody centered cubic (BCC) grid
Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Simplicial sets and complexes in algebraic topology (55U10) Discrete Morse theory and related ideas in manifold topology (57Q70)
Cites Work
- Digital distance functions on three-dimensional grids
- Dual complexes of cubical subdivisions of \({\mathbb{R}}^{n}\)
- Digital topological method for computing genus and the Betti numbers
- Concepts of digital topology
- Hierarchical Morse-Smale complexes for piecewise linear 2-manifolds
- A tutorial on well-composedness
- Body centered cubic grid -- coordinate system and discrete analytical plane definition
- Repairing 3D binary images using the BCC grid with a 4-valued combinatorial coordinate system
- A theory of binary digital pictures
- Morse Theory. (AM-51)
- Winding and Euler numbers for 2D and 3D digital images
- Critical Points and Curvature for Embedded Polyhedral Surfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Surface-based computation of the Euler characteristic in the BCC grid
