The -optimal convolving functions in reconstruction convolution algorithms

František Matúš

Kybernetika (1987)

  • Volume: 23, Issue: 4, page 294-304
  • ISSN: 0023-5954

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Matúš, 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

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  1. И. М. Гельфаид М. И. Грасв Н. Я. Виленкин, Интегральная геометрия и связаные с ней вопросы теории представленуй, Физматгиз, Москва 1962. (1962) Zbl1226.30001
  2. G. T. Herman, ed., Image Reconstruction from Projection: Implementation and Applications, Springer-Verlag, Berlin 1979. (1979) 
  3. K. Rektorys, Variational Methods in Mathematics, Science and Engineering (in Czech), Second Edition. SNTL, Prague 1977. (1977) MR0487653
  4. D. H. Griffel, Applied Functional Analysis, Ellis Horwood Limited, New York 1981. (1981) Zbl0461.46001MR0637334
  5. A. E. Taylor, Introduction to Functional Analysis (in Czech), Academia, Prague 1973. (1973) 

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