Probabilistic segmentation of partial volume voxels
VIP '94 The international conference on volume image processing on Volume image processing
Multigrid Convergence of Calculated Features in Image Analysis
Journal of Mathematical Imaging and Vision
Normalized Cuts and Image Segmentation
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
The Image Foresting Transform: Theory, Algorithms, and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Space-variant computer vision: a graph-theoretic approach
Space-variant computer vision: a graph-theoretic approach
Graph Cuts and Efficient N-D Image Segmentation
International Journal of Computer Vision
Random Walks for Image Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative relative fuzzy connectedness for multiple objects with multiple seeds
Computer Vision and Image Understanding
Weights and Topology: A Study of the Effects of Graph Construction on 3D Image Segmentation
MICCAI '08 Proceedings of the 11th international conference on Medical Image Computing and Computer-Assisted Intervention - Part I
High-Precision Boundary Length Estimation by Utilizing Gray-Level Information
IEEE Transactions on Pattern Analysis and Machine Intelligence
Links Between Image Segmentation Based on Optimum-Path Forest and Minimum Cut in Graph
Journal of Mathematical Imaging and Vision
Pixel Coverage Segmentation for Improved Feature Estimation
ICIAP '09 Proceedings of the 15th International Conference on Image Analysis and Processing
Sub-pixel Segmentation with the Image Foresting Transform
IWCIA '09 Proceedings of the 13th International Workshop on Combinatorial Image Analysis
Surface area estimation of digitized 3D objects using weighted local configurations
Image and Vision Computing
The piecewise smooth Mumford-Shah functional on an arbitrary graph
IEEE Transactions on Image Processing
Watershed Cuts: Thinnings, Shortest Path Forests, and Topological Watersheds
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimation of moments of digitized objects with fuzzy borders
ICIAP'05 Proceedings of the 13th international conference on Image Analysis and Processing
Generalized hard constraints for graph segmentation
SCIA'11 Proceedings of the 17th Scandinavian conference on Image analysis
Superresolution border segmentation and measurement in remote sensing images
Computers & Geosciences
LS-SVM based image segmentation using color and texture information
Journal of Visual Communication and Image Representation
| Hi-index | 5.23 |
Many image segmentation methods utilize graph structures for representing images, where the flexibility and generality of the abstract structure is beneficial. By using a fuzzy object representation, i.e., allowing partial belongingness of elements to image objects, the unavoidable loss of information when representing continuous structures by finite sets is significantly reduced, enabling feature estimates with sub-pixel precision. This work presents a framework for object representation based on fuzzy segmented graphs. Interpreting the edges as one-dimensional paths between the vertices of a graph, we extend the notion of a graph cut to that of a located cut, i.e., a cut with sub-edge precision. We describe a method for computing a located cut from a fuzzy segmentation of graph vertices. Further, the notion of vertex coverage segmentation is proposed as a graph theoretic equivalent to pixel coverage segmentations and a method for computing such a segmentation from a located cut is given. Utilizing the proposed framework, we demonstrate improved precision of area measurements of synthetic two-dimensional objects. We emphasize that although the experiments presented here are performed on two-dimensional images, the proposed framework is defined for general graphs and thus applicable to images of any dimension.