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The Level Set Method for Etching and Deposition
Mathematical Models and Methods in Applied Sciences, 1997We provide a rigorous interpretation of the level set approach to certain nonlocal geometric motions modelling etching effects in manufacture. The shadowing of certain parts of a surface by other parts gives rise to a nonlocal Hamilton–Jacobi type PDE, with a multivalued Hamiltonian.
Adalsteinsson, D. +2 more
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Level set methods and image segmentation
Proceedings International Workshop on Medical Imaging and Augmented Reality, 2002We discuss some questions for applying level set methods to image segmentation. During image segmentation, it has been found that the level sets function could be changed into a non-distance function with the initial level set function defined as a distance function. This causes some applications to fail, such as coupled surfaces propagation.
Hongchuan Yu, Dejun Wang, Zesheng Tang
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A Level Set Method for Gland Segmentation
2017 IEEE Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), 2017Histopathology plays a role as the gold standard in clinic for disease diagnosis. The identification and segmentation of histological structures are the prerequisite to disease diagnosis. With the advent of digital pathology, researchers' attention is attracted by the analysis of digital pathology images.
Chen Wang, Hong Bu, Ji Bao, Chunming Li
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A Level-Set Method for the Evolution of Faceted Crystals
SIAM Journal on Scientific Computing, 2000Summary: A level-set formulation for the motion of faceted interfaces is presented. The evolving surface of a crystal is represented as the zero-level of a phase function. The crystal is identified by its orientation and facet speeds. Accuracy is tested on a single crystal by comparison with the exact evolution.
RUSSO, Giovanni, SMEREKA P.
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Novelty Detection Using Level Set Methods
IEEE Transactions on Neural Networks and Learning Systems, 2015This paper presents a level set boundary description (LSBD) approach for novelty detection that treats the nonlinear boundary directly in the input space. The proposed approach consists of level set function (LSF) construction, boundary evolution, and termination of the training process.
Xuemei Ding +3 more
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Out-of-core and compressed level set methods
ACM Transactions on Graphics, 2007This article presents a generic framework for the representation and deformation of level set surfaces at extreme resolutions. The framework is composed of two modules that each utilize optimized and application specific algorithms: 1) A fastout-of-coredata management scheme that allows for resolutions of the deforming geometry limited only by the ...
Michael Bang Nielsen +3 more
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2006
The level set method for capturing moving fronts was introduced in 1987 by Osher and Sethian [401]. It has proven to be phenomenally successful as a numerical device. For example, as of June 2002, typing in “Level Set Methods” on Google’s search engine gives roughly 2800 responses and the original article has been cited over 530 times (according to web
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The level set method for capturing moving fronts was introduced in 1987 by Osher and Sethian [401]. It has proven to be phenomenally successful as a numerical device. For example, as of June 2002, typing in “Level Set Methods” on Google’s search engine gives roughly 2800 responses and the original article has been cited over 530 times (according to web
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Level set methods and the stereo problem
1997We present a novel geometric approach for solving the stereo problem for an arbitrary number of images (greater than or equal to 2). It is based upon the definition of a variational principle that must be satisfied by the surfaces of the objects in the scene and their images. The Euler-Lagrange equations which are deduced from the variational principle
Olivier D. Faugeras, Renaud Keriven
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Analysis of a level set method for topology optimization
Optimization Methods and Software, 2011A level set method for the topological optimization of domains is proposed and analysed in this paper. The framework of the analysis is that of elliptic optimal control problems with a binary control acting as a source term of the state equation. The main ingredient of the algorithm is the concept of topological derivative.
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A Fast Level Set Method for Propagating Interfaces
Journal of Computational Physics, 1995The level technique was introduced to track moving interfaces in a wide variety of problems. It relies on the relation between propagating interfaces and propagating shocks. In the present paper one provides a technique to reduce the computational labor involved in the level set technique for two space dimensions.
Adalsteinsson, David, Sethian, James A.
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