Hierarchy in Picture Segmentation: A Stepwise Optimization Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Feature-oriented image enhancement using shock filters
SIAM Journal on Numerical Analysis
Hierarchical Image Analysis Using Irregular Tessellations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
Nonlinear total variation based noise removal algorithms
Proceedings of the eleventh annual international conference of the Center for Nonlinear Studies on Experimental mathematics : computational issues in nonlinear science: computational issues in nonlinear science
A multiscale algorithm for image segmentation by variational method
SIAM Journal on Numerical Analysis
Computer Vision and Image Understanding
Sub-pixel distance maps and weighted distance transforms
Journal of Mathematical Imaging and Vision - Special issue on topology and geometry in computer vision
Global Minimum for Active Contour Models: A Minimal Path Approach
International Journal of Computer Vision
Extensive operators in partition lattices for image sequence analysis
Signal Processing - Video segmentation for content-based processing manipulation
Data structures and program design in C++
Data structures and program design in C++
Fundamenta Informaticae - Special issue on mathematical morphology
Multiple Contour Finding and Perceptual Grouping using Minimal Paths
Journal of Mathematical Imaging and Vision
Hierarchies of Partitions and Morphological Segmentation
Scale-Space '01 Proceedings of the Third International Conference on Scale-Space and Morphology in Computer Vision
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
A unified approach to noise removal, image enhancement, and shape recovery
IEEE Transactions on Image Processing
Graph-based tools for microscopic cellular image segmentation
Pattern Recognition
Four-Color Theorem and Level Set Methods for Watershed Segmentation
International Journal of Computer Vision
Local and Nonlocal Discrete Regularization on Weighted Graphs for Image and Mesh Processing
International Journal of Computer Vision
Level set methods for watershed image segmentation
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Contour Stencils: Total Variation along Curves for Adaptive Image Interpolation
SIAM Journal on Imaging Sciences
Image smoothing and segmentation by graph regularization
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
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We address the issue of low-level segmentation for real-valued images. The proposed approach relies on the formulation of the problem in terms of an energy partition of the image domain. In this framework, an energy is defined by measuring a pseudo-metric distance to a source point. Thus, the choice of an energy and a set of sources determines a tessellation of the domain. Each energy acts on the image at a different level of analysis; through the study of two types of energies, two stages of the segmentation process are addressed. The first energy considered, the path variation, belongs to the class of energies determined by minimal paths. Its application as a pre-segmentation method is proposed. In the second part, where the energy is induced by a ultrametric, the construction of hierarchical representations of the image is discussed.