Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
An incremental algorithm for Betti numbers of simplicial complexes on the 3-spheres
Computer Aided Geometric Design - Special issue on grid generation, finite elements, and geometric design
Computing homology groups of simplicial complexes in R3
Journal of the ACM (JACM)
Boundary extraction of discrete objects
Computer Vision and Image Understanding
Discrete Polyhedrization of a Lattice Point Set
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Constant-Time Navigation in Four-Dimensional Nested Simplicial Meshes
SMI '04 Proceedings of the Shape Modeling International 2004
Homology algorithm based on acyclic subspace
Computers & Mathematics with Applications
Integral Operators for Computing Homology Generators at Any Dimension
CIARP '08 Proceedings of the 13th Iberoamerican congress on Pattern Recognition: Progress in Pattern Recognition, Image Analysis and Applications
Chain homotopies for object topological representations
Discrete Applied Mathematics
Advanced Homology Computation of Digital Volumes Via Cell Complexes
SSPR & SPR '08 Proceedings of the 2008 Joint IAPR International Workshop on Structural, Syntactic, and Statistical Pattern Recognition
New Characterizations of Simple Points in 2D, 3D, and 4D Discrete Spaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cell AT-Models for Digital Volumes
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Homological Tree-Based Strategies for Image Analysis
CAIP '09 Proceedings of the 13th International Conference on Computer Analysis of Images and Patterns
Homological Computation Using Spanning Trees
CIARP '09 Proceedings of the 14th Iberoamerican Conference on Pattern Recognition: Progress in Pattern Recognition, Image Analysis, Computer Vision, and Applications
On the cohomology of 3D digital images
Discrete Applied Mathematics - Special issue: Advances in discrete geometry and topology (DGCI 2003)
Algebraic topological analysis of time-sequence of digital images
CASC'05 Proceedings of the 8th international conference on Computer Algebra in Scientific Computing
Associating cell complexes to four dimensional digital objects
DGCI'11 Proceedings of the 16th IAPR international conference on Discrete geometry for computer imagery
| Hi-index | 0.00 |
Given an 80-adjacency doxel-based digital four-dimensional hypervolume V , we construct here an associated oriented 4---dimensional polytopal cell complex K (V ), having the same integer homological information (that related to n -dimensional holes that object has) than V . This is the first step toward the construction of an algebraic-topological representation (AT-model) for V , which suitably codifies it mainly in terms of its homological information. This AT-model is especially suitable for global and local topological analysis of digital 4D images.