A Computational Approach to Edge Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Watersheds in Digital Spaces: An Efficient Algorithm Based on Immersion Simulations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Functional specification and prototyping with oriented combinatorial maps
Computational Geometry: Theory and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Topological Relations between Regions in Raster
SSD '95 Proceedings of the 4th International Symposium on Advances in Spatial Databases
XPMaps and Topological Segmentation - A Unified Approach to Finite Topologies in the Plane
DGCI '02 Proceedings of the 10th International Conference on Discrete Geometry for Computer Imagery
ISCV '95 Proceedings of the International Symposium on Computer Vision
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
Hierarchical watersheds within the combinatorial pyramid framework
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
A new sub-pixel map for image analysis
IWCIA'06 Proceedings of the 11th international conference on Combinatorial Image Analysis
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In order to guarantee consistent descriptions of image structure, it is desirable to base such descriptions on topological principles. Thus, we want to be able to derive topological representations from segmented images. This paper discusses two methods to achieve this goal by means of the recently introduced XPMaps. First, it improves an existing algorithm that derives topological representations from region images and crack edges, and second, it presents a new algorithm that can be applied to standard 8-connected edge images.