Polynomial optimization in geometric modeling

Soodeh Habibi; Michal Kocvara; Barnard Mourrain

doi:10.1007/978-3-031-38659-6_6

Polynomial optimization in geometric modeling

Soodeh Habibi^*
, Michal Kocvara
, Barnard Mourrain

^*Corresponding author for this work

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

Abstract

In this chapter, we review applications of Polynomial Optimization techniques to Geometric Modeling problems. We present examples of topical problems in Geometric Modeling, illustrate their solution using Polynomial Optimization Tools, report some experimental results and analyse the behavior of the methods, showing what are their strengths and their limitations.

Original language	English
Title of host publication	Polynomial Optimisation, Moments, and Applications
Editors	Michal Kocvara, Barnard Mourrain, Cordian Riener
Publisher	Springer
Pages	181-206
Number of pages	26
Edition	1
ISBN (Electronic)	9783031386596
ISBN (Print)	9783031386589, 9783031386619
DOIs	https://doi.org/10.1007/978-3-031-38659-6_6
Publication status	Published - 28 Dec 2023

Publication series

Name	Springer Optimization and Its Applications
Publisher	Springer
Volume	206
ISSN (Print)	1931-6828
ISSN (Electronic)	1931-6836

Bibliographical note

Acknowledgments:
This work has been supported by European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Actions, grant agreement 813211 (POEMA). The Julia package MomentTools.jl and Matlab package Loraine used in this chapter have been developed in the context of the POEMA project.

Access to Document

10.1007/978-3-031-38659-6_6

https://link.springer.com/chapter/10.1007/978-3-031-38659-6_6

1 Anthology

Polynomial Optimization, Moments, and Applications
Kocvara, M. (Editor), Mourrain, B. (Editor) & Riener, C. (Editor), 28 Dec 2023, 1 ed. Springer. 266 p. (Springer Optimization and Its Applications; vol. 206)
Research output: Book/Report › Anthology

1 Finished

H2020_ITN_POEMA
Kocvara, M. (Principal Investigator)
European Commission
1/01/19 → 30/06/23
Project: EU

Cite this

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abstract = "In this chapter, we review applications of Polynomial Optimization techniques to Geometric Modeling problems. We present examples of topical problems in Geometric Modeling, illustrate their solution using Polynomial Optimization Tools, report some experimental results and analyse the behavior of the methods, showing what are their strengths and their limitations.",

author = "Soodeh Habibi and Michal Kocvara and Barnard Mourrain",

note = "Acknowledgments: This work has been supported by European Union{\textquoteright}s Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie Actions, grant agreement 813211 (POEMA). The Julia package MomentTools.jl and Matlab package Loraine used in this chapter have been developed in the context of the POEMA project.",

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Polynomial optimization in geometric modeling. / Habibi, Soodeh; Kocvara, Michal; Mourrain, Barnard.
Polynomial Optimisation, Moments, and Applications. ed. / Michal Kocvara; Barnard Mourrain; Cordian Riener. 1. ed. Springer, 2023. p. 181-206 (Springer Optimization and Its Applications; Vol. 206).

Research output: Chapter in Book/Report/Conference proceeding › Chapter (peer-reviewed) › peer-review

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AU - Habibi, Soodeh

AU - Kocvara, Michal

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AB - In this chapter, we review applications of Polynomial Optimization techniques to Geometric Modeling problems. We present examples of topical problems in Geometric Modeling, illustrate their solution using Polynomial Optimization Tools, report some experimental results and analyse the behavior of the methods, showing what are their strengths and their limitations.

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DO - 10.1007/978-3-031-38659-6_6

M3 - Chapter (peer-reviewed)

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SN - 9783031386619

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Polynomial optimization in geometric modeling

Abstract

Publication series

Bibliographical note

Access to Document

Fingerprint

Research output

Polynomial Optimization, Moments, and Applications

Projects

H2020_ITN_POEMA

Cite this