Finite topology as applied to image analysis
Computer Vision, Graphics, and Image Processing
Computer Vision, Graphics, and Image Processing
Planar maps: an interaction paradigm for graphic design
CHI '89 Proceedings of the SIGCHI Conference on Human Factors in Computing Systems
Digital topology: introduction and survey
Computer Vision, Graphics, and Image Processing
Incremental computation of planar maps
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A New Region Expansion for Quadtrees
IEEE Transactions on Pattern Analysis and Machine Intelligence
A fast algorithm for the restoration of images based on chain codes description and its applications
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A critical view of pyramid segmentation algorithms
Pattern Recognition Letters
Hierarchical Image Analysis Using Irregular Tessellations
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On active contour models and balloons
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The adaptive pyramid: a framework for 2D image analysis
CVGIP: Image Understanding
Colour image segmentation and labeling through multiedit-condensing
Pattern Recognition Letters
Fuzzy clustering of elliptic ring-shaped clusters
Pattern Recognition Letters
A systolic approach for real time connected component labeling
Computer Vision and Image Understanding
Euclidean paths: a new representation of boundary of discrete regions
Graphical Models and Image Processing
Region representation: quadtrees from boundary codes
Communications of the ACM
Region representation: boundary codes from quadtrees
Communications of the ACM
Representation of contours and regions for efficient computer search
Communications of the ACM
Concepts of use in contour map processing
Communications of the ACM
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Algorithms for Graphics and Imag
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Digital Picture Processing
Deformable Templates for Feature Extraction from Medical Images
ECCV '90 Proceedings of the First European Conference on 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]
A topologically consistent representation for image analysis: the Topological Graph of Frontiers
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Geometrical parameters extraction from discrete paths
DCGA '96 Proceedings of the 6th International Workshop on Discrete Geometry for Computer Imagery
Inter-pixel eudlidean pahts for image analysis
DCGA '96 Proceedings of the 6th International Workshop 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
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
Comparison and convergence of two topological models for 3D image segmentation
GbRPR'03 Proceedings of the 4th IAPR international conference on Graph based representations in pattern recognition
Operations on Images Using Quad Trees
IEEE Transactions on Pattern Analysis and Machine Intelligence
A topological sampling theorem for Robust boundary reconstruction and image segmentation
Discrete Applied Mathematics
3D image topological structuring with an oriented boundary graph for split and merge segmentation
DGCI'08 Proceedings of the 14th IAPR 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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Representing the regions of a segmented image is an important aspect of image segmentation. Several different models have been proposed to represent the regions of a segmented image but most of them are dedicated to a specific method. Among the non hierarchical models, the model of planar maps with discrete embedding is certainly the most versatile one. Maps have the great advantage to provide a continuity of representation from the abstract mathematical model to the concrete implementation. They encode and provide most of topological and geometrical features required by segmentation algorithms and can be efficiently updated. In this paper we give an overview of the use of planar maps with discrete embedding in the context of image segmentation and we show how to design, implement and use a general environment for 2D image segmentation, from the mathematical model up to a real application. The model, data structure, algorithms and API described in this paper are currently implemented in a software which will be available under LGPL in the course of year 2005.