Determining a rotation of a tetrahedron from a projection

11/30/2011

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The following problem, arising from medical imaging, is addressed: Suppose that T is a known tetrahedron in ^3 with centroid at the origin. Also known is the orthogonal projection U of the vertices of the image ϕ T of T under an unknown rotation ϕ about the origin. Under what circumstances can ϕ be determined from T and U?

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Determining a rotation of a tetrahedron from a projection

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Determining a rotation of a tetrahedron from a projection

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