Interpolation by bivariate polynomials based on Radon projections
Studia Mathematica (2004)
- Volume: 162, Issue: 2, page 141-160
- ISSN: 0039-3223
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topB. Bojanov, and I. K. Georgieva. "Interpolation by bivariate polynomials based on Radon projections." Studia Mathematica 162.2 (2004): 141-160. <http://eudml.org/doc/284687>.
@article{B2004,
abstract = {For any given set of angles θ₀ < ... < θₙ in [0,π), we show that a set of $\{n + 2 \atopwithdelims ()2\}$ Radon projections, consisting of k parallel X-ray beams in each direction $θ_\{k\}$, k = 0, ..., n, determines uniquely algebraic polynomials of degree n in two variables.},
author = {B. Bojanov, I. K. Georgieva},
journal = {Studia Mathematica},
keywords = {interpolation; multivariate polynomials; Radon projection},
language = {eng},
number = {2},
pages = {141-160},
title = {Interpolation by bivariate polynomials based on Radon projections},
url = {http://eudml.org/doc/284687},
volume = {162},
year = {2004},
}
TY - JOUR
AU - B. Bojanov
AU - I. K. Georgieva
TI - Interpolation by bivariate polynomials based on Radon projections
JO - Studia Mathematica
PY - 2004
VL - 162
IS - 2
SP - 141
EP - 160
AB - For any given set of angles θ₀ < ... < θₙ in [0,π), we show that a set of ${n + 2 \atopwithdelims ()2}$ Radon projections, consisting of k parallel X-ray beams in each direction $θ_{k}$, k = 0, ..., n, determines uniquely algebraic polynomials of degree n in two variables.
LA - eng
KW - interpolation; multivariate polynomials; Radon projection
UR - http://eudml.org/doc/284687
ER -
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