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Keywords
(6)
Algebraic Reconstruction Technique
Discrete Tomography
Image Reconstruction
Linear System
Reconstruction Algorithm
Error Rate
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ADART: An Adaptive Algebraic Reconstruction Algorithm for Discrete Tomography
ADART: An Adaptive Algebraic Reconstruction Algorithm for Discrete Tomography,10.1109/TIP.2011.2114894,IEEE Transactions on Image Processing,F. Javier
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ADART: An Adaptive Algebraic Reconstruction Algorithm for Discrete Tomography
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F. Javier Maestre-Deusto
,
Giovanni Scavello
,
Joaquín Pizarro
,
Pedro L. Galindo
In this paper we suggest an algorithm based on the Discrete
Algebraic Reconstruction Technique
(DART) which is capable of computing high quality reconstructions from substan- tially fewer projections than required for conventional continuous tomography. Adaptive DART (ADART) goes a step further than DART on the reduction of the number of unknowns of the asso- ciated
linear system
achieving a significant reduction in the pixel
error rate
of reconstructed objects. The proposed methodology automatically adapts the border definition criterion at each itera- tion, resulting in a reduction of the number of pixels belonging to the border, and consequently of the number of unknowns in the general algebraic reconstruction
linear system
to be solved, being this reduction specially important at the final stage of the iterative process. Experimental results show that reconstruction errors are considerably reduced using ADART when compared to original DART, both in clean and noisy environments.
Journal:
IEEE Transactions on Image Processing
, vol. 20, no. 8, pp. 2146-2152, 2011
DOI:
10.1109/TIP.2011.2114894
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References
(11)
Dart: A Fast Heuristic Algebraic Reconstruction Algorithm for Discrete Tomography
(
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Kees Joost Batenburg
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Jan Sijbers
Conference:
Image Processing, IEEE International Conference - ICIP
, vol. 4, pp. 133-136, 2007
Practical and mathematical aspects of the problem of reconstructing objects from radiographs
(
Citations: 96
)
Kennan T. Smith
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Donald C. Solmon
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Sheldon L. Wagner
Journal:
Bulletin of The American Mathematical Society - BULL AMER MATH SOC
, vol. 83, no. 1977, pp. 1227-1270, 1977
The mathematics of computerized tomography
(
Citations: 1023
)
F. Natterer
Published in 1986.
The Ill-Conditioned Nature of the Limited Angle Tomography Problem
(
Citations: 43
)
Mark E. Davison
Journal:
Siam Journal on Applied Mathematics - SIAMAM
, vol. 43, no. 2, 1983
Principles of computerized tomographic imaging
(
Citations: 1623
)
A. C. Kak
,
M. Slaney
Published in 1988.