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arxiv: math/0503338 · v1 · pith:UWAZGU3Jnew · submitted 2005-03-16 · 🧮 math.NA · cs.NA· math.CA

Reconstruction of a polynomial from its Radon projections

classification 🧮 math.NA cs.NAmath.CA
keywords polynomialprojectionsradonalongcircledegreedetermineddirections
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A polynomial of degree $n$ in two variables is shown to be uniquely determined by its Radon projections taken over $[n/2]+1$ parallel lines in each of the $(2[(n+1)/2]+1)$ equidistant directions along the unit circle.

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