Determining a rotation of a tetrahedron from a projection

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 $U$?

No reviews yet.

No comments yet.