A multiscale algorithm for image segmentation by variational method
SIAM Journal on Numerical Analysis
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Journal of Computational Physics
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IEEE Transactions on Pattern Analysis and Machine Intelligence
International Journal of Computer Vision
A Level Set Model for Image Classification
International Journal of Computer Vision
Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation
International Journal of Computer Vision
A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model
International Journal of Computer Vision
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SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
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SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
A level set algorithm for minimizing the Mumford-Shah functional in image processing
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Geometric Level Set Methods in Imaging,Vision,and Graphics
Geometric Level Set Methods in Imaging,Vision,and Graphics
Piecewise constant level set methods and image segmentation
Scale-Space'05 Proceedings of the 5th international conference on Scale Space and PDE Methods in Computer Vision
An axiomatic approach to image interpolation
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
A piecewise constant level set method for elliptic inverse problems
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ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Four-Color Theorem and Level Set Methods for Watershed Segmentation
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SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
Narrow band region-based active contours and surfaces for 2D and 3D segmentation
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SAR Image Segmentation Using Level Sets and Region Competition under the $\mathcal{G}^H$ Model
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Solving the Chan-Vese model by a multiphase level set algorithm based on the topological derivative
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ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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A new multiphase soft segmentation with adaptive variants
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Journal of Mathematical Imaging and Vision
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This paper is devoted to piecewise-constant segmentation of images using a curve evolution approach in a variational formulation. The problem to be solved is also called the minimal partition problem, as formulated by Mumford and Shah [20]. The proposed new models are extensions of the techniques previously introduced in [9], [10], [27]. We represent here the set of boundaries of the segmentation implicitly, by a multilayer of level-lines of a continuous function. In the standard approach of front propagation, only one level line is used to represent the boundary. The multilayer idea is inspired from previous work on island dynamics for epitaxial growth [14], [4]. Using a multilayer level set approach, the computational cost is smaller and in some applications, a nested structure of the level lines can be useful.