Skip to main content

2017 | OriginalPaper | Buchkapitel

Parallel Realizations of the Iterative Statistical Reconstruction Algorithm for 3D Computed Tomography

verfasst von : Robert Cierniak, Jarosław Bilski, Jacek Smola̧g, Piotr Pluta, Nimit Shah

Erschienen in: Artificial Intelligence and Soft Computing

Verlag: Springer International Publishing

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The presented paper describes a parallel realization of an approach to the reconstruction problem for 3D spiral x-ray tomography. The reconstruction problem is formulated taking into consideration the statistical properties of signals obtained by x-ray CT and the analytical methodology of image processing. The concept shown here significantly accelerates calculations performed during iterative reconstruction process in the formulated algorithm. Computer simulations have been performed which prove that the reconstruction algorithm described here, does indeed significantly outperform conventional analytical methods in the quality of the images obtained.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literatur
1.
Zurück zum Zitat DeMan, B., Basu, S.: Distance-driven projection and backprojection in three dimensions. Phys. Med. Biol. 49, 2463–2475 (2004)CrossRef DeMan, B., Basu, S.: Distance-driven projection and backprojection in three dimensions. Phys. Med. Biol. 49, 2463–2475 (2004)CrossRef
2.
Zurück zum Zitat Thibault, J.-B., Sauer, K.D., Bouman, C.A., Hsieh, J.: A three-dimensional statistical approach to improved image quality for multislice helical CT. Med. Phys. 34(11), 4526–4544 (2007)CrossRef Thibault, J.-B., Sauer, K.D., Bouman, C.A., Hsieh, J.: A three-dimensional statistical approach to improved image quality for multislice helical CT. Med. Phys. 34(11), 4526–4544 (2007)CrossRef
3.
Zurück zum Zitat Zhou, Y., Thibault, J.-B., Bouman, C.A., Sauer, K.D., Hsieh, J.: Fast model-based x-ray CT reconstruction using spatially non-homogeneous ICD optimization. IEEE Trans. Image Process. 20(1), 161–175 (2011)MathSciNetCrossRef Zhou, Y., Thibault, J.-B., Bouman, C.A., Sauer, K.D., Hsieh, J.: Fast model-based x-ray CT reconstruction using spatially non-homogeneous ICD optimization. IEEE Trans. Image Process. 20(1), 161–175 (2011)MathSciNetCrossRef
4.
Zurück zum Zitat Cierniak, R.: A novel approach to image reconstruction from discrete projections using hopfield-type neural network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS, vol. 4029, pp. 890–898. Springer, Heidelberg (2006). doi:10.1007/11785231_93 CrossRef Cierniak, R.: A novel approach to image reconstruction from discrete projections using hopfield-type neural network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS, vol. 4029, pp. 890–898. Springer, Heidelberg (2006). doi:10.​1007/​11785231_​93 CrossRef
5.
Zurück zum Zitat Cierniak, R.: A new approach to tomographic image reconstruction using a Hopfield-type neural network. Int. J. Artif. Intell. Med. 43(2), 113–125 (2008)MathSciNetCrossRef Cierniak, R.: A new approach to tomographic image reconstruction using a Hopfield-type neural network. Int. J. Artif. Intell. Med. 43(2), 113–125 (2008)MathSciNetCrossRef
6.
Zurück zum Zitat Cierniak, R.: A new approach to image reconstruction from projections problem using a recurrent neural network. Int. J. Appl. Math. Comput. Sci. 183(2), 147–157 (2008)MathSciNet Cierniak, R.: A new approach to image reconstruction from projections problem using a recurrent neural network. Int. J. Appl. Math. Comput. Sci. 183(2), 147–157 (2008)MathSciNet
7.
Zurück zum Zitat Cierniak, R.: A novel approach to image reconstruction problem from fan-beam projections using recurrent neural network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS, vol. 5097, pp. 752–761. Springer, Heidelberg (2008). doi:10.1007/978-3-540-69731-2_72 CrossRef Cierniak, R.: A novel approach to image reconstruction problem from fan-beam projections using recurrent neural network. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2008. LNCS, vol. 5097, pp. 752–761. Springer, Heidelberg (2008). doi:10.​1007/​978-3-540-69731-2_​72 CrossRef
8.
Zurück zum Zitat Cierniak, R.: New neural network algorithm for image reconstruction from fan-beam projections. Neurocomputing 72, 3238–3244 (2009)CrossRef Cierniak, R.: New neural network algorithm for image reconstruction from fan-beam projections. Neurocomputing 72, 3238–3244 (2009)CrossRef
9.
Zurück zum Zitat Cierniak, R.: A three-dimentional neural network based approach to the image reconstruction from projections problem. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS, vol. 6113, pp. 505–514. Springer, Heidelberg (2010). doi:10.1007/978-3-642-13208-7_63 CrossRef Cierniak, R.: A three-dimentional neural network based approach to the image reconstruction from projections problem. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS, vol. 6113, pp. 505–514. Springer, Heidelberg (2010). doi:10.​1007/​978-3-642-13208-7_​63 CrossRef
10.
Zurück zum Zitat Cierniak, R.: Neural network algorithm for image reconstruction using the grid-friendly projections. Australas. Phys. Eng. Sci. Med. 34, 375–389 (2011)CrossRef Cierniak, R.: Neural network algorithm for image reconstruction using the grid-friendly projections. Australas. Phys. Eng. Sci. Med. 34, 375–389 (2011)CrossRef
11.
Zurück zum Zitat Cierniak, R.: An analytical iterative statistical algorithm for image reconstruction from projections. Appl. Math. Comput. Sci. 24(1), 7–17 (2014)MathSciNetMATH Cierniak, R.: An analytical iterative statistical algorithm for image reconstruction from projections. Appl. Math. Comput. Sci. 24(1), 7–17 (2014)MathSciNetMATH
12.
Zurück zum Zitat Bruder, H., Kachelrieß, M., Schaller, S., Stierstorfer, K., Flohr, T.: Single-slice rebinning reconstruction in spiral cone-beam computed tomography. IEEE Trans. Med. Imag. 9(9), 873–887 (2000) Bruder, H., Kachelrieß, M., Schaller, S., Stierstorfer, K., Flohr, T.: Single-slice rebinning reconstruction in spiral cone-beam computed tomography. IEEE Trans. Med. Imag. 9(9), 873–887 (2000)
13.
Zurück zum Zitat Kachelrieß, M., Knaup, M., Kalender, W.A.: Extended parallel back projection for standard three-dimensional and phase-correlated four-dimensional axial and spiral cone-beam CT with arbitrary pitch, arbitrary cone-angle, and 100% dose usage. Med. Phys. 31, 1623–1641 (2004) Kachelrieß, M., Knaup, M., Kalender, W.A.: Extended parallel back projection for standard three-dimensional and phase-correlated four-dimensional axial and spiral cone-beam CT with arbitrary pitch, arbitrary cone-angle, and 100% dose usage. Med. Phys. 31, 1623–1641 (2004)
14.
Zurück zum Zitat Chu, J.L., Krzyźak, A.: The recognition of partially occluded objects with support vector machines, convolutional neural networks and deep belief networks. J. Artif. Intell. Soft Comput. Res. 4(1), 5–19 (2014)CrossRef Chu, J.L., Krzyźak, A.: The recognition of partially occluded objects with support vector machines, convolutional neural networks and deep belief networks. J. Artif. Intell. Soft Comput. Res. 4(1), 5–19 (2014)CrossRef
15.
Zurück zum Zitat Bas, E.: The training of multiplicative neuron model artificial neural networks with differential evolution algorithm for forecasting. J. Artif. Intell. Soft Comput. Res. 6(1), 5–11 (2016)CrossRef Bas, E.: The training of multiplicative neuron model artificial neural networks with differential evolution algorithm for forecasting. J. Artif. Intell. Soft Comput. Res. 6(1), 5–11 (2016)CrossRef
16.
Zurück zum Zitat Aghdam, M.H., Heidari, S.: Feature selection using particle swarm optimization in text categorization. J. Artif. Intell. Soft Comput. Res. 5(4), 231–238 (2015)CrossRef Aghdam, M.H., Heidari, S.: Feature selection using particle swarm optimization in text categorization. J. Artif. Intell. Soft Comput. Res. 5(4), 231–238 (2015)CrossRef
17.
Zurück zum Zitat El-Samak, A.F., Ashour, W.: Optimization of traveling salesman problem using affinity propagation clustering and genetic algorithm. J. Artif. Intell. Soft Comput. Res. 5(4), 239–245 (2015)CrossRef El-Samak, A.F., Ashour, W.: Optimization of traveling salesman problem using affinity propagation clustering and genetic algorithm. J. Artif. Intell. Soft Comput. Res. 5(4), 239–245 (2015)CrossRef
18.
Zurück zum Zitat Leon, M., Xiong, N.: Adapting differential evolution algorithms for continuous optimization via greedy adjustment of control parameters. J. Artif. Intell. Soft Comput. Res. 6(2), 103–118 (2016)CrossRef Leon, M., Xiong, N.: Adapting differential evolution algorithms for continuous optimization via greedy adjustment of control parameters. J. Artif. Intell. Soft Comput. Res. 6(2), 103–118 (2016)CrossRef
19.
Zurück zum Zitat Miyajima, H., Shigei, N., Miyajima, H.: Performance comparison of hybrid electromagnetism-like mechanism algorithms with descent method. J. Artif. Intell. Soft Comput. Res. 5(4), 271–282 (2015)CrossRefMATH Miyajima, H., Shigei, N., Miyajima, H.: Performance comparison of hybrid electromagnetism-like mechanism algorithms with descent method. J. Artif. Intell. Soft Comput. Res. 5(4), 271–282 (2015)CrossRefMATH
20.
Zurück zum Zitat Rutkowska, A.: Influence of membership function’s shape on portfolio optimization results. J. Artif. Intell. Soft Comput. Res. 6(1), 45–54 (2016)CrossRef Rutkowska, A.: Influence of membership function’s shape on portfolio optimization results. J. Artif. Intell. Soft Comput. Res. 6(1), 45–54 (2016)CrossRef
Metadaten
Titel
Parallel Realizations of the Iterative Statistical Reconstruction Algorithm for 3D Computed Tomography
verfasst von
Robert Cierniak
Jarosław Bilski
Jacek Smola̧g
Piotr Pluta
Nimit Shah
Copyright-Jahr
2017
DOI
https://doi.org/10.1007/978-3-319-59063-9_42