A discussion of the solution for the best rotation to relate two sets of vectors
Abstract
A method is discussed for obtaining the best proper rotation to relate two sets of vectors.
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The optimal solution to minimize the objective function Eq. (6a) is to combine the solution proposed by Le and Deng [2012] with the solution to the Weighted Absolute Orientation problem [Kabsch 1978].
“The optimal solution to minimize the objective function Eq. (6a) is to combine the solution proposed by Le and Deng [2012] with the solution to the Weighted Absolute Orientation problem [Kabsch 1978].”
From Robust and accurate skeletal rigging from mesh sequences (2014) · cites this paper as Kabsch 1978
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Cited by 1,151
- Authors
- Kabsch, W.
- Affiliations
- Max Planck Society (DE)
- Corresponding author
- Kabsch, W.
- Venue
- Acta Crystallographica Section A
- Published
- 1978-09-01
- Volume
- 34
- Issue
- 5
- Pages
- 827-828
- ISSN
- 0567-7394 (ISSN-L)
- OpenAlex
- W2108107014
- Cited by
- 1,151
- References
- 0
- Citations by year
- 2026: 36 · 2025: 38 · 2024: 47 · 2023: 40 · 2022: 52 · 2021: 42 · 2020: 45 · 2019: 39 · 2018: 50 · 2017: 42 · 2016: 45 · 2015: 39 · 2014: 35 · 2013: 28 · 2012: 41
- FWCI
- 0.64
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- Locations
- Acta Crystallographica Section A (publishedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Max Planck Digital Library (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Physical Sciences › Materials Science › Materials Chemistry › X-ray Diffraction in Crystallography
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Matrix Theory and Algorithms
- Keywords
- vector sets, crystal orientation
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