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arXiv 1608.02165cs.CVcs.AIcs.NAmath.NAmath.OC
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形状拟合与形状踢:用于鲁棒、可扩展的结构从运动

ShapeFit and ShapeKick for Robust, Scalable Structure from Motion

Dept. of Computer Science, University of Maryland, College Park, MD(计算机科学系,马里兰大学,学院公园,MD);Dept. of Computational and Applied Mathematics, Rice University, Houston, TX(计算与应用数学系,里士满大学,休斯顿,TX);Dept. of Mathematics, Massachusetts Institute of Technology, Cambridge, MA(数学系,麻省理工学院,剑桥,MA);Dept. of Computer Science, University of California, Los Angeles, CA(计算机科学系,加州大学洛杉矶分校,CA)

Thomas Goldstein, Paul Hand, Choongbum Lee, Vladislav Voroninski, Stefano Soatto

AI总结:

本文提出一种利用高效凸优化程序进行成对方向定位恢复的新方法,能有效处理对抗性异常值,且在真实场景和模拟数据上验证了其性能和灵活性。

摘要:

我们介绍了一种新的方法,用于从成对方向中恢复位置,该方法利用了一个高效的凸优化程序,具有精确恢复保证,即使在存在对抗性异常值的情况下也能有效工作。当成对方向代表视图之间的缩放相对位置(例如通过视差几何估计)时,我们的方法可用于位置恢复,即确定相对姿态,仅需一个未知的标度因子。对于此任务,我们的方法性能与最先进的方法相当,但速度提高了数量级。我们提出的方法具有灵活性,可以适应其他位置恢复方法,并可用于加速其他方法。这些特性通过在13个大型不规则图像集合以及具有真实场景和模拟数据的地面真实数据上广泛测试来验证。

英文摘要:

We introduce a new method for location recovery from pair-wise directions that leverages an efficient convex program that comes with exact recovery guarantees, even in the presence of adversarial outliers. When pairwise directions represent scaled relative positions between pairs of views (estimated for instance with epipolar geometry) our method can be used for location recovery, that is the determination of relative pose up to a single unknown scale. For this task, our method yields performance comparable to the state-of-the-art with an order of magnitude speed-up. Our proposed numerical framework is flexible in that it accommodates other approaches to location recovery and can be used to speed up other methods. These properties are demonstrated by extensively testing against state-of-the-art methods for location recovery on 13 large, irregular collections of images of real scenes in addition to simulated data with ground truth.

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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