从投影确定四面体的旋转
Determining a rotation of a tetrahedron from a projection
Western Washington University（西华盛顿大学）；Università degli Studi di Firenze（佛罗伦萨大学）；Goethe-Universität（歌德大学）
摘要：
下面的问题，所产生的医学成像，解决：假设$T$是一个已知的四面体在$\R^3$的质心在原点。还已知的是在围绕原点的未知旋转$ϕ$下的$T$的图像$ϕT$的顶点的正交投影$U$。在什么情况下可以根据$T$和$U$确定$ϕ$？
英文摘要：
The following problem, arising from medical imaging, is addressed: Suppose that $T$ is a known tetrahedron in $\R^3$ with centroid at the origin. Also known is the orthogonal projection $U$ of the vertices of the image $ϕT$ of $T$ under an unknown rotation $ϕ$ about the origin. Under what circumstances can $ϕ$ be determined from $T$ and $U$?
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
