Determining a rotation of a tetrahedron from a projection

Details Determining a rotation of a tetrahedron from a projection Determining a rotation of a tetrahedron from a projection

2011-11-30

arxiv.org/abs/1111.7100v1

Mathematics

Metric Geometry

16 pages, 1 figure

Scientific paper

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 $\phi T$ of
$T$ under an unknown rotation $\phi$ about the origin. Under what circumstances
can $\phi$ be determined from $T$ and $U$?

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