Generation of three-dimensional random rotations in fitting and matching problems (Q638054)
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scientific article; zbMATH DE number 5946112
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generation of three-dimensional random rotations in fitting and matching problems |
scientific article; zbMATH DE number 5946112 |
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Generation of three-dimensional random rotations in fitting and matching problems (English)
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8 September 2011
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A Gibbs sampling algorithm is proposed for generating random 3D rotating matrices \(R\) (i.e., \(R\in SO(3)\)) with probability density proportional to \( \exp\{-{1\over 2}\| A-R\| ^2_F\}\), where \(\| \cdot\| _F\) is the Frobenius norm and \(A\) is some fixed matrix. In fact, the Euler angles are simulated for the deviation of \(R\) from the most probable matrix. An application to the analysis of protein molecule structures is presented.
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Gibbs sampler
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Markov chain Monte Carlo
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random rotation matrix
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Euler angles
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algorithm
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protein molecules
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0.8377323
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0.83289516
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0.82661283
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0.82535547
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0.8246094
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0.81819665
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