Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Boolean algebra over linear polyhedra
Computer-Aided Design
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
An efficient intersection algorithm for polyhedral cellular decompositions
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
CVGIP: Graphical Models and Image Processing
Constructive non-regularized geometry
Computer-Aided Design - Beyond solid modelling
Extrusion and boundary evaluation for multidimensional polyhedra
Computer-Aided Design - Beyond solid modelling
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
Discrete multidimensional Jordan surfaces
CVGIP: Graphical Models and Image Processing
Dimension-independent modeling with simplicial complexes
ACM Transactions on Graphics (TOG)
Discrete Combinatorial Surfaces
Graphical Models and Image Processing
Matchmaker: manifold BReps for non-manifold r-sets
Proceedings of the fifth ACM symposium on Solid modeling and applications
An Editable Nonmanifold Boundary Representation
IEEE Computer Graphics and Applications
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
Nonmanifold Topology Based on Coupling Entities
IEEE Computer Graphics and Applications
Delaunay Triangulation in Three Dimensions
IEEE Computer Graphics and Applications
Feature Recognition from CAD Models
IEEE Computer Graphics and Applications
Aspects in Topology-Based Geometric Modeling
DGCI '97 Proceedings of the 7th International Workshop on Discrete Geometry for Computer Imagery
An Abstract Theoretical Foundation of the Geometry of Digital Spaces
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
On recent trends in discrete geometry in computer science
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Algorithmic and Computer Methods for Three-Manifolds
Algorithmic and Computer Methods for Three-Manifolds
Computation of homology groups and generators
Computers and Graphics
Computation of homology groups and generators
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
| Hi-index | 0.00 |
Dimensionally non-homogeneous pointsets with internal structure are the focus in a consequent number of studies in both computational geometry and discrete (or digital) geometry, and lead to various practical applications in geometric modeling and computer imagery. Our motivation is to revisit the well known notion of algebraic topology, the cell CW complex, and to use it as an abstract framework for numerical representation of inhomogeneous objects. Two representational issues, respectively in non-manifold solid modeling and in discrete object boundary reconstruction, are discussed in illustration of this general setting.