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In this paper we review the algorithm development and applications in high resolution shock capturing methods, level set methods, and PDE based methods in computer vision and image processing.
The dominant state-of-the-art methodologies for content extraction and interpretation of medical images include fuzzy methods, level set methods, kernel methods, and geometric deformable models.
As for the skeleton-based methods, level set, Canny and Chan Vese [19] are generally employed into the edge extraction.
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The structural topology optimisation method presented in this paper is based on the boundary element method, level set method and shape sensitivity analysis for two-dimensional linear elastic problems.
Researchers have presented several methods including Gaussian mixture models, truncated pluri-Gaussian method, level set method, discrete cosine transform, and other principal component analysis methods.
The atlas reconstruction work is based on a multimodal statistical framework which involves most advances in image analysis methods: level-sets for image segmentation, multi-modal registration and symmetric diffeomorphic nonlinear registration, weighted diffusion tensor averaging and accurate quantitative analysis.
In comparison with our method, traditional level set method [28] only extracts the outermost contours, as shown in Fig 10 c.
Our method, GAC method, shape detection level set method, shape a priori based level set method, and improved variational level set method are implemented using C/C++ language.
This family of methods is called level set methods (LSM).
In this paper, a new method for level set update is proposed, in the context of crack propagation modeling with the extended finite element method (X-FEM) and level sets.
A conservative method of level set type for moving interfaces in divergence free velocity fields is presented.
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