论文标题
强大而准确的圆柱体三角剖分
Robust and Accurate Cylinder Triangulation
论文作者
论文摘要
在本文中，我们提出了图像线剪影的无限圆柱体进行三角测量的方法。我们从数值上表明，对通用二次表面的线性估计本质上是一个不良提出的问题。取而代之的是，我们建议将圆锥截面限制为圆，并在双圆锥上给出代数约束，以模拟该歧管。使用这些约束，我们根据三个图像轮廓线得出了一个快速最小的求解器，可用于引导诸如RANSAC之类的强大估计方案。我们还提出了一个约束的最小二乘求解器，该求解器可以结合所有可用的图像线以进行准确的估计。与以前的方法相比，在合成数据和真实数据上都测试了该算法，在该算法中可以得出准确的结果。
In this paper we present methods for triangulation of infinite cylinders from image line silhouettes. We show numerically that linear estimation of a general quadric surface is inherently a badly posed problem. Instead we propose to constrain the conic section to a circle, and give algebraic constraints on the dual conic, that models this manifold. Using these constraints we derive a fast minimal solver based on three image silhouette lines, that can be used to bootstrap robust estimation schemes such as RANSAC. We also present a constrained least squares solver that can incorporate all available image lines for accurate estimation. The algorithms are tested on both synthetic and real data, where they are shown to give accurate results, compared to previous methods.
