Geodesic
Interpolation by bivariate polynomials based on Radon projections
B. Bojanov1 ; I. K. Georgieva2
1 Department of Mathematics University of Sofia Blvd. James Boucher 5 1164 Sofia, Bulgaria
2 Institute of Mathematics Bulgarian Academy of Sciences Akad. G. Bonchev St., bl. 8 1113 Sofia, Bulgaria
Studia Mathematica, Tome 162 (2004) no. 2, pp. 141-160

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For any given set of angles $\theta _0 \ldots \theta _n$ in $[0, \pi )$, we show that a set of ${n+2 \choose 2}$ Radon projections, consisting of $k$ parallel $X$-ray beams in each direction $\theta _k$, $k=0, \ldots , n$, determines uniquely algebraic polynomials of degree $n$ in two variables.
DOI : 10.4064/sm162-2-3
Keywords: given set angles theta ldots theta set choose radon projections consisting parallel x ray beams each direction theta ldots determines uniquely algebraic polynomials degree variables

B. Bojanov 1 ; I. K. Georgieva 2

1 Department of Mathematics University of Sofia Blvd. James Boucher 5 1164 Sofia, Bulgaria
2 Institute of Mathematics Bulgarian Academy of Sciences Akad. G. Bonchev St., bl. 8 1113 Sofia, Bulgaria 
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B. Bojanov; I. K. Georgieva. Interpolation by bivariate polynomials
 based on Radon projections. Studia Mathematica, Tome 162 (2004) no. 2, pp. 141-160. doi: 10.4064/sm162-2-3

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