On Variational and PDE-Based Methods for Accurate Distance Function Estimation


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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.

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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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