文件名称:Nearest_Orthonormal_Matrix
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- matlab例程
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- [PDF]
- 上传时间：
- 2015-01-30
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- 30kb
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- Archa******
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Finding the Nearest Orthonormal Matrix
In some appoaches to photogrammetric problems (perhaps inspired by projective
geometry), an estimate M of an orthonormal matrix R representing rotation is
recovered. It is then desired to find the “nearest’’ orthonormal matrix. While
this two step approach — first finding a “best fit’’ matrix without enforcing orthonormality,and then finding the nearest orthonormal matrix — is not to be
recommended, it may be of interest to find a solution to this problem nevertheless.
In some appoaches to photogrammetric problems (perhaps inspired by projective
geometry), an estimate M of an orthonormal matrix R representing rotation is
recovered. It is then desired to find the “nearest’’ orthonormal matrix. While
this two step approach — first finding a “best fit’’ matrix without enforcing orthonormality,and then finding the nearest orthonormal matrix — is not to be
recommended, it may be of interest to find a solution to this problem nevertheless.
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Nearest_Orthonormal_Matrix.pdf