3D discrete rotations using hinge angles
3D discrete rotations using hinge angles
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DOI：
10.1016/j.tcs.2010.10.031
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发表时间：
2011-03
期刊：
影响因子：
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通讯作者：
Yohan Thibault;A. Sugimoto;Y. Kenmochi
中科院分区：
文献类型：
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作者：
Yohan Thibault;A. Sugimoto;Y. Kenmochi
在本文中，我们研究的三维旋转网格点计算仅使用整数。为此，我们研究了3D半网格和旋转平面之间的相交。从这个交叉点，我们定义3D铰链角，其确定在旋转期间网格点从体素到其相邻体素的过渡。然后，我们给出了一种方法来排序的所有三维铰链角度与整数计算。三维铰链角度的研究使我们能够设计一个三维离散旋转和估计之间的旋转一对数字图像的对应。
In this paper, we study 3D rotations on grid points computed by using only integers. For that purpose, we investigate the intersection between the 3D half-grid and the rotation plane. From this intersection, we define 3D hinge angles which determine a transit of a grid point from a voxel to its adjacent voxel during the rotation. Then, we give a method to sort all 3D hinge angles with integer computations. The study of 3D hinge angles allows us to design a 3D discrete rotation and to estimate the rotation between a pair of digital images in correspondence.