A hierarchical boundary model for solid object representation
ACM Transactions on Graphics (TOG)
Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Hierarchical Image Analysis Using Irregular Tessellations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topological models for boundary representation: a comparison with n-dimensional generalized maps
Computer-Aided Design - Beyond solid modelling
The adaptive pyramid: a framework for 2D image analysis
CVGIP: Image Understanding
Algebraic specification of a 3D-modeler based on hypermaps
CVGIP: Graphical Models and Image Processing
Functional specification and prototyping with oriented combinatorial maps
Computational Geometry: Theory and Applications
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]
Abstraction Pyramids on Discrete Representations
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
Hierarchical Decomposition of Datasets on Irregular Surface Meshes
CGI '98 Proceedings of the Computer Graphics International 1998
Discrete linear objects in dimension n: the standard model
Graphical Models - Special issue: Discrete topology and geometry for image and object representation
Contains and inside relationships within combinatorial pyramids
Pattern Recognition
nD generalized map pyramids: Definition, representations and basic operations
Pattern Recognition
Insertion and expansion operations for n-dimensional generalized maps
DGCI'08 Proceedings of the 14th IAPR international conference on Discrete geometry for computer imagery
Removal operations in nd generalized maps for efficient homology computation
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
| Hi-index | 0.01 |
Removal and contraction are basic operations for several methods conceived in order to handle irregular image pyramids, for multi-level image analysis for instance. We give the definitions of removal and contraction operations in the generalized maps framework. We propose a first experimentation of irregular pyramid as a basis for a discrete geometrical modeler that can handle both discrete and continuous representations of geometrical objects. This modeler is based on a pyramidal kernel with four coexisting level between the discrete and the Euclidean representations. We describe how this pyramid can be constructed and updated.