Shape Ambiguities in Structure From Motion
Shape Ambiguities in Structure From Motion
复制标题
从运动中塑造结构中的模糊性
DOI：
10.1109/34.589211
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
S. B. Kang
中科院分区：
文献类型：
--
作者：
R. Szeliski;S. B. Kang
本文研究了从运动中恢复结构所固有的基本模糊性和不确定性。通过检查与Hessian矩阵的零或小特征值相关联的特征向量，我们可以量化这些模糊性的确切性质，并预测它们将如何影响重建形状的准确性。我们的研究结果正交相机表明，浅浮雕的模糊性是显着的，即使有许多图像，除非大量的旋转。透视相机的类似结果表明，三个或更多的帧和大量的旋转需要度量准确的重建。
This paper examines the fundamental ambiguities and uncertainties inherent in recovering structure from motion. By examining the eigenvectors associated with null or small eigenvalues of the Hessian matrix, we can quantify the exact nature of these ambiguities and predict how they will affect the accuracy of the reconstructed shape. Our results for orthographic cameras show that the bas-relief ambiguity is significant even with many images, unless a large amount of rotation is present. Similar results for perspective cameras suggest that three or more frames and a large amount of rotation are required for metrically accurate reconstruction.