论文标题
多级T-Spline近似，用于散射观测值，并应用于陆遥感
Multilevel T-spline Approximation for Scattered Observations with Application to Land Remote Sensing
论文作者
论文摘要
在此贡献中，我们引入了一种多层近似方法，该方法带有T型平台，用于拟合散射点云，并应用了陆遥感的应用。该新过程通过对控制点的显式计算提供了局部表面近似，并称为多级T型拼接近似（MTA）。与传统的全局最小二乘（LS）方法相比，它在计算上有效，当给定的完善水平的点密度不利时，它可能会失败。我们在模拟框架中验证我们的方法，并将其应用于两个真实数据集：（i）带有陆架激光扫描仪的孔的表面，以及（ii）荷兰的沙子上的斑块。这两个示例都凸显了MTA对迅速拟合较大和嘈杂的点云具有可变点密度的潜力，并且与全局LS近似相比，结果相似。
In this contribution, we introduce a multilevel approximation method with T-splines for fitting scattered point clouds iteratively, with an application to land remote sensing. This new procedure provides a local surface approximation by an explicit computation of the control points and is called a multilevel T-splines approximation (MTA). It is computationally efficient compared with the traditional global least-squares (LS) approach, which may fail when there is an unfavourable point density from a given refinement level. We validate our approach within a simulated framework and apply it to two real datasets: (i) a surface with holes scanned with a terrestrial laser scanner, and (ii) a patch on a sand-dune in the Netherlands. Both examples highlight the potential of the MTA for rapidly fitting large and noisy point clouds with variable point density and with similar results compared to the global LS approximation.
