Computer Vision, Graphics, and Image Processing
Subdivisions of n-dimensional spaces and n-dimensional generalized maps
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
A critical view of pyramid segmentation algorithms
Pattern Recognition Letters
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
Universal segmentation with PIRRAMIDS
Proceedings of the 20th workshop of the Austrian Association for Pattern Recognition (OAGM/AAPR) on Pattern recognition 1996
Minimizing the Topological Structure of Line Images
SSPR '98/SPR '98 Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
A Graph Labelling Approach for Connected Feature Selection
Proceedings of the Joint IAPR International Workshops on Advances in Pattern Recognition
Abstraction Pyramids on Discrete Representations
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
nD generalized map pyramids: Definition, representations and basic operations
Pattern Recognition
Annotated Contraction Kernels for Interactive Image Segmentation
GbRPR '09 Proceedings of the 7th IAPR-TC-15 International Workshop on Graph-Based Representations in Pattern Recognition
Assessing the role of spatial relations for the object recognition task
CIARP'10 Proceedings of the 15th Iberoamerican congress conference on Progress in pattern recognition, image analysis, computer vision, and applications
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
The GeoMap: a unified representation for topology and geometry
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
Pyramids of n-dimensional generalized maps
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
A graph-based concept for spatiotemporal information in cognitive vision
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
Multimedia Tools and Applications
Multi-resolution cell complexes based on homology-preserving euler operators
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
Topological modifications and hierarchical representation of cell complexes in arbitrary dimensions
Computer Vision and Image Understanding
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A pyramid is a stack of image representations with decreasing resolution. Many image processing algorithms run on this hierarchical structure in O(log(n)) parallel processing steps where n is the diameter of the input image. Graph pyramids are made of a stack of successively reduced graphs embedded in the plane. Such pyramids overcome the main limitations of their regular ancestors. The graphs used in the pyramid may be region adjacency graphs or dual graphs. This paper reviews the different hierarchical data structures and introduces a new representation named combinatorial pyramid.