Geodesic
Interpolation by bivariate polynomials based on Radon projections
B. Bojanov1 ; I. K. Georgieva2
1Department of Mathematics University of Sofia Blvd. James Boucher 5 1164 Sofia, Bulgaria
2Institute 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_sm162_2_3,
     author = {B. Bojanov and I. K. Georgieva},
     title = {Interpolation by bivariate polynomials
 based on {Radon} projections},
     journal = {Studia Mathematica},
     pages = {141--160},
     year = {2004},
     volume = {162},
     number = {2},
     doi = {10.4064/sm162-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm162-2-3/}
}
TY  - JOUR
AU  - B. Bojanov
AU  - I. K. Georgieva
TI  - Interpolation by bivariate polynomials
 based on Radon projections
JO  - Studia Mathematica
PY  - 2004
SP  - 141
EP  - 160
VL  - 162
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm162-2-3/
DO  - 10.4064/sm162-2-3
LA  - en
ID  - 10_4064_sm162_2_3
ER  - 
%0 Journal Article
%A B. Bojanov
%A I. K. Georgieva
%T Interpolation by bivariate polynomials
 based on Radon projections
%J Studia Mathematica
%D 2004
%P 141-160
%V 162
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm162-2-3/
%R 10.4064/sm162-2-3
%G en
%F 10_4064_sm162_2_3
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

Cité par Sources :