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arXiv · 1111.7100

Determining a rotation of a tetrahedron from a projection

Richard J. Gardner·Paolo Gronchi·Thorsten Theobald
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Abstract

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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Richard J. Gardner, Paolo Gronchi, Thorsten Theobald. 2011-11-30. Determining a rotation of a tetrahedron from a projection. https://arxiv.org/abs/1111.7100

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