A variational method for accurate distance function estimation

Alexander G. Belyaev; Pierre-Alain Fayolle

doi:10.1007/978-3-030-23436-2_12

A variational method for accurate distance function estimation

Alexander G. Belyaev^*, Pierre-Alain Fayolle

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

3 Citations (Scopus)

Abstract

Variational problems for accurate approximation of the distance from the boundary of a domain are studied. It is demonstrated that the problems can be efficiently solved by ADMM. Advantages of the proposed distance function estimation methods are demonstrated by numerical experiments.

Original language	English
Title of host publication	Numerical Geometry, Grid Generation and Scientific Computing
Editors	Vladimir A. Garanzha, Lennard Kamenski, Hang Si
Publisher	Springer
Pages	175-181
Number of pages	7
ISBN (Electronic)	9783030234362
ISBN (Print)	9783030234355
DOIs	https://doi.org/10.1007/978-3-030-23436-2_12
Publication status	Published - 11 Oct 2019
Event	9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi - Moscow, Russian Federation Duration: 3 Dec 2018 → 5 Dec 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	131
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi
Abbreviated title	NUMGRID 2018
Country/Territory	Russian Federation
City	Moscow
Period	3/12/18 → 5/12/18

ASJC Scopus subject areas

Modelling and Simulation
General Engineering
Discrete Mathematics and Combinatorics
Control and Optimization
Computational Mathematics

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10.1007/978-3-030-23436-2_12

Cite this

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title = "A variational method for accurate distance function estimation",

abstract = "Variational problems for accurate approximation of the distance from the boundary of a domain are studied. It is demonstrated that the problems can be efficiently solved by ADMM. Advantages of the proposed distance function estimation methods are demonstrated by numerical experiments.",

author = "Belyaev, {Alexander G.} and Pierre-Alain Fayolle",

year = "2019",

month = oct,

day = "11",

doi = "10.1007/978-3-030-23436-2_12",

language = "English",

isbn = "9783030234355",

series = "Lecture Notes in Computational Science and Engineering",

publisher = "Springer",

pages = "175--181",

editor = "Garanzha, {Vladimir A.} and Lennard Kamenski and Hang Si",

booktitle = "Numerical Geometry, Grid Generation and Scientific Computing",

address = "United States",

note = "9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi, NUMGRID 2018 ; Conference date: 03-12-2018 Through 05-12-2018",

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Belyaev, AG & Fayolle, P-A 2019, A variational method for accurate distance function estimation. in VA Garanzha, L Kamenski & H Si (eds), Numerical Geometry, Grid Generation and Scientific Computing. Lecture Notes in Computational Science and Engineering, vol. 131, Springer, pp. 175-181, 9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi, Moscow, Russian Federation, 3/12/18. https://doi.org/10.1007/978-3-030-23436-2_12

A variational method for accurate distance function estimation. / Belyaev, Alexander G.; Fayolle, Pierre-Alain.
Numerical Geometry, Grid Generation and Scientific Computing. ed. / Vladimir A. Garanzha; Lennard Kamenski; Hang Si. Springer, 2019. p. 175-181 (Lecture Notes in Computational Science and Engineering; Vol. 131).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - A variational method for accurate distance function estimation

AU - Belyaev, Alexander G.

AU - Fayolle, Pierre-Alain

PY - 2019/10/11

Y1 - 2019/10/11

N2 - Variational problems for accurate approximation of the distance from the boundary of a domain are studied. It is demonstrated that the problems can be efficiently solved by ADMM. Advantages of the proposed distance function estimation methods are demonstrated by numerical experiments.

AB - Variational problems for accurate approximation of the distance from the boundary of a domain are studied. It is demonstrated that the problems can be efficiently solved by ADMM. Advantages of the proposed distance function estimation methods are demonstrated by numerical experiments.

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DO - 10.1007/978-3-030-23436-2_12

M3 - Conference contribution

AN - SCOPUS:85075665735

SN - 9783030234355

T3 - Lecture Notes in Computational Science and Engineering

SP - 175

EP - 181

BT - Numerical Geometry, Grid Generation and Scientific Computing

A2 - Garanzha, Vladimir A.

A2 - Kamenski, Lennard

A2 - Si, Hang

PB - Springer

T2 - 9th International Conference on Numerical Geometry, Grid Generation, and Scientific Computing, celebrating the 150th anniversary of Georgy F. Voronoi

Y2 - 3 December 2018 through 5 December 2018

ER -

A variational method for accurate distance function estimation

Abstract

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ASJC Scopus subject areas

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