On Variational and PDE-Based Methods for Accurate Distance Function Estimation
- 作者: Fayolle P.1, Belyaev A.G.2
 - 
							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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