On Variational and PDE-Based Methods for Accurate Distance Function Estimation
- 作者: Fayolle P.1, Belyaev A.G.2
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隶属关系:
- Computer Graphics Laboratory, University of Aizu
- Institute of Sensors, Signals and Systems, School of Engineering and Physical Sciences Heriot-Watt University
- 期: 卷 59, 编号 12 (2019)
- 页面: 2009-2016
- 栏目: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180916
- DOI: https://doi.org/10.1134/S0965542519120066
- ID: 180916
如何引用文章
详细
A new variational problem for accurate approximation of the distance from the boundary of a domain is proposed and studied. It is shown that the problem can be efficiently solved by the alternating direction method of multipliers. Links between this problem and \(p\)-Laplacian diffusion are established and studied. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments.
作者简介
P.-A. Fayolle
Computer Graphics Laboratory, University of Aizu
编辑信件的主要联系方式.
Email: fayolle@u-aizu.ac.jp
日本, Aizu-Wakamatsu
A. Belyaev
Institute of Sensors, Signals and Systems, School of Engineering and Physical Sciences Heriot-Watt University
编辑信件的主要联系方式.
Email: a.belyaev@hw.ac.uk
英国, Edinburgh
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