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TensorView for MATLAB : Visualizing tensors with Euler angle decoding

Svenningsson, Leo LU and Mueller, Leonard J. (2023) In Solid State Nuclear Magnetic Resonance 123.
Abstract

TensorView for MATLAB is a GUI-based visualization tool for depicting second-rank Cartesian tensors as surfaces on three-dimensional molecular models. Both ellipsoid and ovaloid tensor display formats are supported, and the software allows for easy conversion of Euler angles from common rotation schemes (active, passive, ZXZ, and ZYZ conventions) with visual feedback. In addition, the software displays all four orientation-equivalent Euler angle solutions for the placement of a single tensor in the molecular frame and can report relative orientations of two tensors with all 16 orientation-equivalent Euler angle sets that relate them. The salient relations are derived and illustrated through several examples. TensorView for MATLAB... (More)

TensorView for MATLAB is a GUI-based visualization tool for depicting second-rank Cartesian tensors as surfaces on three-dimensional molecular models. Both ellipsoid and ovaloid tensor display formats are supported, and the software allows for easy conversion of Euler angles from common rotation schemes (active, passive, ZXZ, and ZYZ conventions) with visual feedback. In addition, the software displays all four orientation-equivalent Euler angle solutions for the placement of a single tensor in the molecular frame and can report relative orientations of two tensors with all 16 orientation-equivalent Euler angle sets that relate them. The salient relations are derived and illustrated through several examples. TensorView for MATLAB expands and complements the earlier implementation of TensorView within the Mathematica programming environment and can be run without a MATLAB license. TensorView for MATLAB is available through github at https://github.com/LeoSvenningsson/TensorViewforMatlab, and can also be accessed directly via the NMRbox resource.

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author
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organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Euler angle conversions, Molecular visualization, Relative orientation, Rotation, tensor
in
Solid State Nuclear Magnetic Resonance
volume
123
article number
101849
publisher
Elsevier
external identifiers
  • scopus:85145972735
  • pmid:36610267
ISSN
0926-2040
DOI
10.1016/j.ssnmr.2022.101849
language
English
LU publication?
yes
id
0c0da3da-47c6-4365-b01b-1b1f7df7c3e2
date added to LUP
2023-02-17 09:16:10
date last changed
2024-06-25 01:45:54
@article{0c0da3da-47c6-4365-b01b-1b1f7df7c3e2,
  abstract     = {{<p>TensorView for MATLAB is a GUI-based visualization tool for depicting second-rank Cartesian tensors as surfaces on three-dimensional molecular models. Both ellipsoid and ovaloid tensor display formats are supported, and the software allows for easy conversion of Euler angles from common rotation schemes (active, passive, ZXZ, and ZYZ conventions) with visual feedback. In addition, the software displays all four orientation-equivalent Euler angle solutions for the placement of a single tensor in the molecular frame and can report relative orientations of two tensors with all 16 orientation-equivalent Euler angle sets that relate them. The salient relations are derived and illustrated through several examples. TensorView for MATLAB expands and complements the earlier implementation of TensorView within the Mathematica programming environment and can be run without a MATLAB license. TensorView for MATLAB is available through github at https://github.com/LeoSvenningsson/TensorViewforMatlab, and can also be accessed directly via the NMRbox resource.</p>}},
  author       = {{Svenningsson, Leo and Mueller, Leonard J.}},
  issn         = {{0926-2040}},
  keywords     = {{Euler angle conversions; Molecular visualization; Relative orientation; Rotation; tensor}},
  language     = {{eng}},
  publisher    = {{Elsevier}},
  series       = {{Solid State Nuclear Magnetic Resonance}},
  title        = {{TensorView for MATLAB : Visualizing tensors with Euler angle decoding}},
  url          = {{http://dx.doi.org/10.1016/j.ssnmr.2022.101849}},
  doi          = {{10.1016/j.ssnmr.2022.101849}},
  volume       = {{123}},
  year         = {{2023}},
}