Euclidean upgrading from segment lengths: DLT-like algorithm and its variants
Euclidean upgrading from segment lengths: DLT-like algorithm and its variants
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段长度的欧几里得升级：类 DLT 算法及其变体
DOI：
10.1016/j.imavis.2013.12.012
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发表时间：
2014-02
影响因子：
4.7
通讯作者：
Fuchao Wu
中科院分区：
文献类型：
--
作者：
Kunfeng Shi, Qiulei Dong;Fuchao Wu
本文讨论了如何标定固定多摄像机系统并同时实现一组片段的欧几里得重建。众所周知，在没有任何先验信息的情况下，只能进行投影重建。在这里，利用已知的片段长度将投影重建升级为欧几里得重建，同时校准相机的内在和外在参数。首先，以一种非常简单的方式推导了一种类似于DLT（直接线性变换）的算法，用于从段长度进行欧几里得升级。虽然类dlt算法的中间结果本质上等同于二次分段（QoS），但由于从中间结果中更准确地提取无穷远平面，类dlt算法比现有的由QoS导出的线性算法具有更高的精度。然后，为了进一步提高欧几里得升级的精度，通过对原始类dlt算法中的线性约束方程进行加权，提出了两种加权类dlt算法。最后，以这些线性算法的结果为初始值，探索了一种新的加权非线性欧几里得升级算法，以更准确地恢复欧几里得结构。在合成数据和真实图像数据上的大量实验结果表明，我们提出的算法在欧几里得升级和多相机标定方面是有效的。
In this paper, how to calibrate a fixed multi-camera system and simultaneously achieve a Euclidean reconstruction from a set of segments is addressed. It is well known that only a projective reconstruction could be achieved without any prior information. Here, the known segment lengths are exploited to upgrade the projective reconstruction to a Euclidean reconstruction and simultaneously calibrate the intrinsic and extrinsic camera parameters. At first, a DLT(Direct Linear Transformation)-like algorithm for the Euclidean upgrading from segment lengths is derived in a very simple way. Although the intermediate results in the DLT-like algorithm are essentially equivalent to the quadric of segments (QoS), the DLT-like algorithm is of higher accuracy than the existing linear algorithms derived from the QoS because of a more accurate way to extract the plane at infinity from the intermediate results. Then, to further improve the accuracy of Euclidean upgrading, two weighted DLT-like algorithms are presented by weighting the linear constraint equations in the original DLT-like algorithm. Finally, using the results of these linear algorithms as the initial values, a new weighted nonlinear algorithm for Euclidean upgrading is explored to recover the Euclidean structure more accurately. Extensive experimental results on both the synthetic data and the real image data demonstrate the effectiveness of our proposed algorithms in Euclidean upgrading and multi-camera calibration.
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DOI：
--
发表时间：
2007
期刊：
--
影响因子：
--
作者：
K. Kanatani;Y. Sugaya
通讯作者：
K. Kanatani;Y. Sugaya
DOI：
10.1109/tpami.2004.21
发表时间：
2004-07-01
影响因子：
23.6
作者：
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通讯作者：
Zhang, ZY
DOI：
10.1017/cbo9780511811685.009
发表时间：
2001-04
期刊：
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影响因子：
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作者：
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影响因子：
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影响因子：
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通讯作者：
Kunfeng Shi;Qiulei Dong;Fuchao Wu