论文标题
局部非刚性结构的封闭式解决方案
A Closed-Form Solution to Local Non-Rigid Structure-from-Motion
论文作者
论文摘要
非刚性结构（NRSFM）的最新趋势是表达图像对之间的局部差异约束，通过求解多项式方程系统，可以从任何点获得正常的表面正常。但是，以前工作中得出的方程式系统具有高度，具有多达五个实际解决方案，因此需要一种计算昂贵的策略来选择独特的解决方案。此外，它们遭受了变性，使最终的估计不可靠，而没有任何机制来识别这种情况。 在本文中，我们表明，在广泛适用的假设下，我们可以根据表面正态来得出一个新的方程系统，其表面正态可以以封闭形式获得两种溶液，并且可以很容易地在本地消除歧义。我们的形式主义进一步使我们能够评估估计的当地正常情况的可靠性，因此，如果不是，则可以丢弃它们。我们的实验表明，我们的重建是从两个或多个视图中获得的重建，比最新方法的重建更准确，同时也更快。
A recent trend in Non-Rigid Structure-from-Motion (NRSfM) is to express local, differential constraints between pairs of images, from which the surface normal at any point can be obtained by solving a system of polynomial equations. The systems of equations derived in previous work, however, are of high degree, having up to five real solutions, thus requiring a computationally expensive strategy to select a unique solution. Furthermore, they suffer from degeneracies that make the resulting estimates unreliable, without any mechanism to identify this situation. In this paper, we show that, under widely applicable assumptions, we can derive a new system of equation in terms of the surface normals whose two solutions can be obtained in closed-form and can easily be disambiguated locally. Our formalism further allows us to assess how reliable the estimated local normals are and, hence, to discard them if they are not. Our experiments show that our reconstructions, obtained from two or more views, are significantly more accurate than those of state-of-the-art methods, while also being faster.
