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Nearest_Orthonormal_Matrix

于 2015-01-30 发布 文件大小:30KB
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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.

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