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arXiv 1709.09683cs.CVmath.OC
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基于最小二乘偏差的摄像机精确定位方法

Exact Camera Location Recovery by Least Unsquared Deviations

University of Minnesota(明尼苏达大学);University of Central Florida(中佛罗里达大学)

Gilad Lerman, Yunpeng Shi, Teng Zhang

摘要:

我们建立精确的恢复Ozyesil和辛格的最小非平方偏差(LUD)算法。更确切地说,我们表明,足够多的摄像机与给定的损坏的成对方向,其中摄像机的位置和成对方向生成的一个特殊的概率模型,LUD算法准确地恢复摄像机的位置具有很高的概率。Hand、Lee和Voroninski为ShapeFit算法建立了类似的精确恢复保证,但通常损坏较少。

英文摘要:

We establish exact recovery for the Least Unsquared Deviations (LUD) algorithm of Ozyesil and Singer. More precisely, we show that for sufficiently many cameras with given corrupted pairwise directions, where both camera locations and pairwise directions are generated by a special probabilistic model, the LUD algorithm exactly recovers the camera locations with high probability. A similar exact recovery guarantee was established for the ShapeFit algorithm by Hand, Lee and Voroninski, but with typically less corruption.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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