A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
The Chain Pyramid: Hierarchical Contour Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
A critical view of pyramid segmentation algorithms
Pattern Recognition Letters
Digital topology: a comparison of the graph-based and topological approaches
Topology and category theory in computer science
Local deformations of digital curves
Pattern Recognition Letters
Hierarchical morse complexes for piecewise linear 2-manifolds
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
A Pyramid Framework for Early Vision: Multiresolutional Computer Vision
A Pyramid Framework for Early Vision: Multiresolutional Computer Vision
Introduction to Combinatorial Pyramids
Digital and Image Geometry, Advanced Lectures [based on a winter school held at Dagstuhl Castle, Germany in December 2000]
Intersection Number of Paths Lying on a Digital Surface and a New Jordan Theorem
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Border Map: A Topological Representation for nD Image Analysis
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
Multiresolution Representation of Shapes Based on Cell Complexes (Invited Paper)
DCGI '99 Proceedings of the 8th International Conference on Discrete Geometry for Computer Imagery
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Topological Encoding of 3D Segmented Images
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Object Discretization in Higher Dimensions
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Strong Thinning and Polyhedrization of the Surface of a Voxel Object
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Plane Embedding of Dually Contracted Graphs
DGCI '00 Proceedings of the 9th International Conference on Discrete Geometry for Computer Imagery
Multi-scale models in image analysis (pyramids, computer vision, processing)
Multi-scale models in image analysis (pyramids, computer vision, processing)
Computer Vision and Image Understanding
Topological model for 3D image representation: Definition and incremental extraction algorithm
Computer Vision and Image Understanding
Grouping of non-connected structures by an irregular graph pyramid
IbPRIA'05 Proceedings of the Second Iberian conference on Pattern Recognition and Image Analysis - Volume Part II
Pyramids of n-dimensional generalized maps
GbRPR'05 Proceedings of the 5th IAPR international conference on Graph-Based Representations in Pattern Recognition
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We review multilevel hierarchies under two special aspects: their potential for abstraction and for storing discrete representations. Motivated by claims to 'bridge the representational gap between image and model features' and by the growing importance of topological properties we discuss several extensions to dual graph pyramids and to topological maps: structural simplification should preserve important topological properties and content abstraction could be guided by an external knowledge base.