当前位置: X-MOL 学术Vis. Comput. Ind. Biomed. Art › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Efficient object location determination and error analysis based on barycentric coordinates.
Visual Computing for Industry, Biomedicine, and Art Pub Date : 2020-07-31 , DOI: 10.1186/s42492-020-00052-y
Andrea Bodonyi 1, 2 , Roland Kunkli 1
Affiliation  

In this paper, we propose an efficient computational method for converting local coordinates to world coordinates using specially structured coordinate data. The problem in question is the computation of world coordinates of an object throughout a motion, assuming that we only know the changing coordinates of some fixed surrounding reference points in the local coordinate system of the object. The proposed method is based on barycentric coordinates; by taking the aforementioned static positions as the vertices of a polyhedron, we can specify the coordinates of the object in each step with the help of barycentric coordinates. This approach can significantly help us to achieve more accurate results than by using other possible methods. In the paper, we describe the problem and barycentric coordinate-based solution in detail. We then compare the barycentric method with a technique based on transformation matrices, which we also tested for solving our problem. We also present various diagrams that demonstrate the efficiency of our proposed approach in terms of precision and performance.

中文翻译:

基于重心坐标的有效目标位置确定和误差分析。

在本文中,我们提出了一种使用特殊结构化的坐标数据将局部坐标转换为世界坐标的有效计算方法。所讨论的问题是在整个运动中对象的世界坐标的计算,假设我们只知道对象的局部坐标系中某些固定的周围参考点的变化坐标。该方法基于重心坐标。通过将上述静态位置作为多面体的顶点,我们可以借助重心坐标指定每一步中对象的坐标。与使用其他可能的方法相比,这种方法可以极大地帮助我们获得更准确的结果。在本文中,我们详细描述了该问题和基于重心坐标的解决方案。然后,我们将重心方法与基于变换矩阵的技术进行了比较,并针对解决问题进行了测试。我们还提供了各种图表,这些图表从准确性和性能方面证明了我们提出的方法的效率。
更新日期:2020-07-31
down
wechat
bug