Boolean operations on n-dimensional objects
IEEE Computer Graphics and Applications
Primitives for the manipulation of three-dimensional subdivisions
SCG '87 Proceedings of the third annual symposium on Computational geometry
Primitives for the manipulation of general subdivisions and the computation of Voronoi
ACM Transactions on Graphics (TOG)
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Extension of the Notion of Map and Subdivisions of a Three-Dimensional Space
STACS '88 Proceedings of the 5th Annual Symposium on Theoretical Aspects of Computer Science
An OBJ3 functional specification for boundary representation
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
An efficient algorithm for CSG to b-rep conversion
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
A model for n-dimensional boundary topology
SMA '93 Proceedings on the second ACM symposium on Solid modeling and applications
Dimension-independent modeling with simplicial complexes
ACM Transactions on Graphics (TOG)
Applying parallel processing techniques to classification problems in constructive solid geometry
SODA '90 Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms
Proceedings of the sixth ACM symposium on Solid modeling and applications
Star-vertices: a compact representation for planar meshes with adjacency information
Journal of Graphics Tools
Nonmanifold Topology Based on Coupling Entities
IEEE Computer Graphics and Applications
Irregular Pyramids with Combinatorial Maps
Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Formalizing the Trading Theorem for the Classification of Surfaces
TPHOLs '02 Proceedings of the 15th International Conference on Theorem Proving in Higher Order Logics
Introduction to Combinatorial Pyramids
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
SpaMod: Design of a Spatial Modeling Tool
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Topological Encoding of 3D Segmented Images
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Topological Map Based Algorithms for 3D Image Segmentation
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Contraction kernels and combinatorial maps
Pattern Recognition Letters - Special issue: Graph-based representations in pattern recognition
SpaMod: design of a spatial modeling tool
Digital and image geometry
Introduction to combinatorial pyramids
Digital and image geometry
Computational Geometry: Theory and Applications - Special issue: The European workshop on computational geometry -- CG01
Split-and-merge algorithms defined on topological maps for 3D image segmentation
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Computer Vision and Image Understanding
Formalizing generalized maps in Coq
Theoretical Computer Science
Formalizing the trading theorem in Coq
Theoretical Computer Science
Automatic building of structured geological models
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Topological model for 3D image representation: Definition and incremental extraction algorithm
Computer Vision and Image Understanding
Topologically-based animation for describing geological evolution
Machine Graphics & Vision International Journal
Graph Transformation for Topology Modelling
ICGT '08 Proceedings of the 4th international conference on Graph Transformations
Simploidals sets: Definitions, operations and comparison with simplicial sets
Discrete Applied Mathematics
SOT: compact representation for tetrahedral meshes
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Signatures of Combinatorial Maps
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
A causal extraction scheme in top-down pyramids for large images segmentation
SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
Science of Computer Programming
Efficient search of combinatorial maps using signatures
Theoretical Computer Science
CPM'11 Proceedings of the 22nd annual conference on Combinatorial pattern matching
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
Equivalence between regular n-G-maps and n-surfaces
IWCIA'04 Proceedings of the 10th international conference on Combinatorial Image Analysis
Pyramids of n-dimensional generalized maps
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
Receptive fields for generalized map pyramids: the notion of generalized orbit
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
A distance measure between labeled combinatorial maps
Computer Vision and Image Understanding
| Hi-index | 0.00 |
This paper deals with the modeling of n-dimensional objects, more precisely with the modeling of subdivisions of n-dimensional topological spaces. We here study the notions of:n-dimensional generalized map (or n-G-map), for the modeling of the topology of any subdivision of any n-dimensional topological space (orientable or not orientable, with or without boundaries);n-dimensional map (or n-map), for the modeling of the topology of any subdivision of any orientable n-dimensional topological space, without boundaries.These two notions extend the notion of topological map, which has been used for the modeling of the topology of any subdivision of any surface.We study in this paper some properties of the n-G-maps and the n-maps (orientability, duality, relationships between n-G-maps and n-maps …), and we define also operations for constructing any n-G-map.