Defining point-set surfaces
Defining point-set surfaces
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DOI：
10.1145/1015706.1015713
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发表时间：
2004-08-01
影响因子：
6.2
通讯作者：
Kil, YJ
中科院分区：
文献类型：
--
作者：
Amenta, N;Kil, YJ
用于点云建模和渲染的MLS曲面[Levin 2003]，最初被算法定义为特定无网格结构的输出。给出了由向量场决定的直线上能量函数的临界点的新的显式定义。这个定义揭示了与计算机视觉和计算拓扑研究的联系。通过改变矢量场和能量函数，可以创建MLS曲面的变体。作为一个例子，我们定义了一个由surfels云（配备法线的点）而不是点确定的类似表面。我们还观察到，文献中描述的一些将空间点置于MLS表面的程序无法做到这一点，并且我们描述了一个简单的迭代程序。
The MLS surface [Levin 2003], used for modeling and rendering with point clouds, was originally defined algorithmically as the output of a particular meshless construction. We give a new explicit definition in terms of the critical points of an energy function on lines determined by a vector field. This definition reveals connections to research in computer vision and computational topology.Variants of the MLS surface can be created by varying the vector field and the energy function. As an example, we define a similar surface determined by a cloud of surfels (points equipped with normals), rather than points.We also observe that some procedures described in the literature to take points in space onto the MLS surface fail to do so, and we describe a simple iterative procedure which does.