Probabilistic modelling and reconstruction of strain

Carl Jidling; Johannes Hendriks; Niklas Wahlström; Alexander Gregg; Thomas B. Schön; Christopher Wensrich; Adrian Wills

doi:10.1016/j.nimb.2018.08.051

Probabilistic modelling and reconstruction of strain

Carl Jidling, Johannes Hendriks, Niklas Wahlström, Alexander Gregg, Thomas B. Schön, Christopher Wensrich, Adrian Wills

Research output: Contribution to journal › Article › Research › peer-review

35 Citations (Scopus)

Abstract

This paper deals with modelling and reconstruction of strain fields, relying upon data generated from neutron Bragg-edge measurements. We propose a probabilistic approach in which the strain field is modelled as a Gaussian process, assigned a covariance structure customised by incorporation of the so-called equilibrium constraints. The computational complexity is significantly reduced by utilising an approximation scheme well suited for the problem. We illustrate the method on simulations and real data. The results indicate a high potential and can hopefully inspire the concept of probabilistic modelling to be used within other tomographic applications as well.

Original language	English
Pages (from-to)	141-155
Number of pages	15
Journal	Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms
Volume	436
DOIs	https://doi.org/10.1016/j.nimb.2018.08.051
Publication status	Published - 1 Dec 2018
Externally published	Yes

Keywords

Bragg-edge
Equilibrium constraints
Gaussian process
Strain field

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10.1016/j.nimb.2018.08.051

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title = "Probabilistic modelling and reconstruction of strain",

abstract = "This paper deals with modelling and reconstruction of strain fields, relying upon data generated from neutron Bragg-edge measurements. We propose a probabilistic approach in which the strain field is modelled as a Gaussian process, assigned a covariance structure customised by incorporation of the so-called equilibrium constraints. The computational complexity is significantly reduced by utilising an approximation scheme well suited for the problem. We illustrate the method on simulations and real data. The results indicate a high potential and can hopefully inspire the concept of probabilistic modelling to be used within other tomographic applications as well.",

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T1 - Probabilistic modelling and reconstruction of strain

AU - Jidling, Carl

AU - Hendriks, Johannes

AU - Wahlström, Niklas

AU - Gregg, Alexander

AU - Schön, Thomas B.

AU - Wensrich, Christopher

AU - Wills, Adrian

N1 - Funding Information: This research was financially supported by the Swedish Foundation for Strategic Research (SSF) via the project ASSEMBLE (contract number: RIT15-0012 ). Publisher Copyright: © 2018 Elsevier B.V.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - This paper deals with modelling and reconstruction of strain fields, relying upon data generated from neutron Bragg-edge measurements. We propose a probabilistic approach in which the strain field is modelled as a Gaussian process, assigned a covariance structure customised by incorporation of the so-called equilibrium constraints. The computational complexity is significantly reduced by utilising an approximation scheme well suited for the problem. We illustrate the method on simulations and real data. The results indicate a high potential and can hopefully inspire the concept of probabilistic modelling to be used within other tomographic applications as well.

AB - This paper deals with modelling and reconstruction of strain fields, relying upon data generated from neutron Bragg-edge measurements. We propose a probabilistic approach in which the strain field is modelled as a Gaussian process, assigned a covariance structure customised by incorporation of the so-called equilibrium constraints. The computational complexity is significantly reduced by utilising an approximation scheme well suited for the problem. We illustrate the method on simulations and real data. The results indicate a high potential and can hopefully inspire the concept of probabilistic modelling to be used within other tomographic applications as well.

KW - Bragg-edge

KW - Equilibrium constraints

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JF - Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms

ER -

Probabilistic modelling and reconstruction of strain

Abstract

Keywords

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