The -optimal convolving functions in reconstruction convolution algorithms
Kybernetika (1987)
- Volume: 23, Issue: 4, page 294-304
- ISSN: 0023-5954
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topMatúš, František. "The $L^2$-optimal convolving functions in reconstruction convolution algorithms." Kybernetika 23.4 (1987): 294-304. <http://eudml.org/doc/28803>.
@article{Matúš1987,
author = {Matúš, František},
journal = {Kybernetika},
keywords = {Radon transform; filtered backprojection algorithm; computerized tomography; Radon's integral equation; discrete backprojection; discrete convolution; Numerical results},
language = {eng},
number = {4},
pages = {294-304},
publisher = {Institute of Information Theory and Automation AS CR},
title = {The $L^2$-optimal convolving functions in reconstruction convolution algorithms},
url = {http://eudml.org/doc/28803},
volume = {23},
year = {1987},
}
TY - JOUR
AU - Matúš, František
TI - The $L^2$-optimal convolving functions in reconstruction convolution algorithms
JO - Kybernetika
PY - 1987
PB - Institute of Information Theory and Automation AS CR
VL - 23
IS - 4
SP - 294
EP - 304
LA - eng
KW - Radon transform; filtered backprojection algorithm; computerized tomography; Radon's integral equation; discrete backprojection; discrete convolution; Numerical results
UR - http://eudml.org/doc/28803
ER -
References
top- И. М. Гельфаид М. И. Грасв Н. Я. Виленкин, Интегральная геометрия и связаные с ней вопросы теории представленуй, Физматгиз, Москва 1962. (1962) Zbl1226.30001
- G. T. Herman, ed., Image Reconstruction from Projection: Implementation and Applications, Springer-Verlag, Berlin 1979. (1979)
- K. Rektorys, Variational Methods in Mathematics, Science and Engineering (in Czech), Second Edition. SNTL, Prague 1977. (1977) MR0487653
- D. H. Griffel, Applied Functional Analysis, Ellis Horwood Limited, New York 1981. (1981) Zbl0461.46001MR0637334
- A. E. Taylor, Introduction to Functional Analysis (in Czech), Academia, Prague 1973. (1973)
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