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Connected level sets, minimizing sets, and uniqueness in optimization

Journal of Optimization Theory and Applications, 1982
Intimate relationships are investigated between connectedness properties of the lower level sets of a real functionf on a topological spaceX and the uniqueness of suitably defined minimizing sets forf. Two distinct theories are presented, the simpler one pertaining to the LE-level sets $$LE_\alpha (f) = \{ x \in X|f(x) \leqslant \alpha \} $$ and ...
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SOME TOPOLOGICAL RESULTS ON LEVEL SETS AND MULTIFRACTAL SETS

Fractals, 2019
In this paper, we study topological properties of some level sets and some multifractal sets induced by Rademacher’s series and Takagi’s series, respectively. By using symbolic space, we obtain necessary and sufficient conditions for them to be residual.
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Saliency Level Set Evolution

2014
In this paper, we consider saliency detection problems from a unique perspective. We provide an implicit representation for the saliency map using level set evolution (LSE), and then combine LSE approach with energy functional minimization (EFM). Instead of introducing sophisticated segmentation procedures, we propose a flexible and lightweight LSE-EFM
Jincheng Mei, Bao-Liang Lu
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Level set tree methods

WIREs Computational Statistics, 2018
Level set trees provide a tool for analyzing multivariate functions. Level set trees are particularly efficient in visualizing and presenting properties related to local maxima and local minima of functions. Level set trees can help statistical inference related to estimating probability density functions and regression functions, and they can be used ...
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Review of Level Set in Image Segmentation

Archives of Computational Methods in Engineering, 2020
Zhaobin Wang, Baozhen Ma, Ying Zhu
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An 88-line MATLAB code for the parameterized level set method based topology optimization using radial basis functions

Structural And Multidisciplinary Optimization, 2018
P. Wei, Zuyu Li, Xueping Li, M. Wang
semanticscholar   +1 more source

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