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Foundations of factor analysis of medical image sequences: A unified approach and some practical implications

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Information Processing in Medical Imaging (IPMI 1993)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 687))

Abstract

Factor Analysis of Medical Image Sequences (FAMIS) is presently conducted either in the function space or in the image space. A unified approach jointly using these two spaces is presented. First, the solution of a statistical model for medical image sequences leads to the determination of the optimal orthogonal decomposition of the data. Then, two symmetrical hypotheses concerning either the underlying fundamental functions or the underlying fundamental spatial distributions are derived. These hypotheses are merged in an original method to solve FAMIS physical model. Using this unified approach, a priori knowledge about functions and images can be jointly taken into account to improve the estimation of the underlying structures. Some applications of the method are illustrated on simulated data.

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References

  1. D.C. Barber: The use of principal components in the quantitative analysis of gamma camera dynamic studies. Physics in Medicine and Biology 25, 283–292 (1980)

    Article  PubMed  Google Scholar 

  2. J.P. Bazin, R. Di Paola, B. Gibaud, P. Rougier and M. Tubiana: Factor analysis of dynamic scintigraphic data as a modelling method. An application to the detection of the metastases. In: R. Di Paola and E. Kahn (eds): Information Processing in Medical Imaging. Paris: INSERM 1980, pp. 345–366

    Google Scholar 

  3. R. Di Paola, J.P. Bazin, F. Aubry, A. Aurengo, F. Cavailloles, J.Y. Herry and E. Kahn: Handling of dynamic sequences in nuclear medicine. IEEE Transactions on Nuclear Science 29, 1310–1321 (1982)

    Google Scholar 

  4. F. Cavailloles, D. Morvan, F. Boudet, J.P. Bazin and R. Di Paola: Factor analysis of dynamic structures as an aid for vesicoureteral reflux diagnosis. Contributions to Nephrology 56, 238–242 (1987)

    PubMed  Google Scholar 

  5. V. Bonnerot, A. Charpentier, F. Frouin, C. Kalifa, D. Vanel and R. Di Paola: Factor analysis of dynamic MR imaging in predicting the response of osteosarcoma to chemotherapy. Investigative Radiology 27, 847–855 (1992)

    PubMed  Google Scholar 

  6. F. Frouin, J.P. Bazin, M. Di Paola, O. Jolivet and R. Di Paola: FAMIS: a software package for functional feature extraction from biomedical multidimensional images. Computerized Medical Imaging and Graphics 16, 81–91 (1992)

    Article  PubMed  Google Scholar 

  7. D. Gagnon, A. Todd-Pokropek, A. Arsenault and G. Dupras: Introduction to holospectral imaging in nuclear medicine for scattered subtraction. IEEE Transactions on Medical Imaging 8, 245–250 (1989)

    Article  Google Scholar 

  8. J. Mas, P. Hannequin, R. Ben Younes, B. Bellaton and R. Bidet: Scatter correction in planar imaging and SPECT by constrained factor analysis of dynamic structures (FADS). Physics in Medicine and Biology 35, 1451–1465 (1990)

    Article  PubMed  Google Scholar 

  9. I. Buvat, F. Frouin, M. Ricard, J.P. Bazin, B. Aubert and R. Di Paola: Compton-scattered correction by constrained factor analysis of spectral structures. In: H.A.E. Schmidt and J.B. van der Schoot (eds): Nuclear Medicine. Stuttgart-New York: Schattauer Verlag 1991, pp. 46–48

    Google Scholar 

  10. K.S. Nijran and D.C. Barber: Factor analysis of dynamic function studies using a priori physiological information. Physics in Medicine and Biology 31, 1107–1117 (1986)

    Article  PubMed  Google Scholar 

  11. M. Samal, M. Karny, H. Surova, E. Marikova and Z. Dienstbier: Rotation to simple structure in factor analysis of dynamic radionuclide studies. Physics in Medicine and Biology 32, 371–382 (1987)

    Article  PubMed  Google Scholar 

  12. K.S. Nijran and D.C. Barber: The importance of constraints in factor analysis of dynamic studies. In: C.N. de Graaf and M.A. Viergever (eds): Information Processing in Medical Imaging. New-York: Plenum Press 1988, pp. 521–529

    Google Scholar 

  13. M. Nakamura, Y. Suzuki and S. Kobayashi: A method for recovering physiological components from dynamic radionuclide images using the maximum entropy principle: a numerical investigation. IEEE Transactions on Biomedical Engineering 36, 906–917 (1989)

    Article  PubMed  Google Scholar 

  14. M. Samal, H. Surova, M. Karny, E. Marikova, P. Penicka and Z. Dienstbier: The reality and meaning of physiological factors. In: C. De Graaf and M. Viergever (eds): Information Processing in Medical Imaging. New York: Plenum Press 1988, pp. 499–519

    Google Scholar 

  15. M. Samal, M. Karny, H. Surova, P. Penicka, E. Marikova and Z. Dienstbier: On the existence of an unambiguous solution in factor analysis of dynamic studies. Physics in Medicine and Biology 34, 223–228 (1989)

    Article  PubMed  Google Scholar 

  16. H. Caussinus: Models and uses of principal component analysis. In: J. de Leeuv (eds): Multidimensional data analysis. Leiden: DSWO Press 1986, pp. 149–178

    Google Scholar 

  17. D.C. Barber and K.S. Nijran: Factor analysis of dynamic radionuclide studies. Third World Congress of Nuclear Medicine and Biology 1, 31–34 (1982)

    Google Scholar 

  18. M.G. Kendall and A. Stuart: The advanced theory of statistics. London: Charles Griffin & Company Limited 1967.

    Google Scholar 

  19. M.J. Greenacre: Theory and applications of correspondence analysis. London: Academic Press 1989.

    Google Scholar 

  20. H. Benali, I. Buvat, F. Frouin, J.P. Bazin and R. Di Paola: A statistical model for the detremination of the optimal metric in Factor Analysis of Medical Image Sequences. submitted to Physics in Medicine and Biology (1993)

    Google Scholar 

  21. I. Buvat, H. Benali, F. Frouin, J.P. Bazin and R. Di Paola: Target apex-seeking in factor analysis of medical image sequences. Physics in Medicine and Biology (in press) (1993)

    Google Scholar 

  22. A.S. Houston and K.S. Nijran: Constraint problems in factor analysis of dynamic structures in nuclear medicine.IEE Third International Conference on Image Processing and its Applications 333–337 (1989)

    Google Scholar 

  23. K.S. Nijran and D.C. Barber: Towards automatic analysis of dynamic radionuclide studies using principal-components factor analysis. Physics in Medicine and Biology 30, 1315–1325 (1985)

    Article  PubMed  Google Scholar 

  24. A.S. Houston: The use of set theory and cluster analysis to investigate the constraint problem in factor analysis in dynamic structures (FADS). In: S.L. Bacharach (eds): Information Processing in Medical Imaging. Dordrecht: Martinus Nijhoff 1986, pp. 177–192

    Google Scholar 

  25. A.S. Houston: The use of cluster analysis and constrained optimisation techniques in factor analysis of dynamic structures. In: M.A. Viergever and A.E. Todd-Pokropek (eds): Mathematics and Computer Science in Medical Imaging. Berlin: Springer-Verlag 1988, pp. 491–503

    Google Scholar 

  26. M. Van Daele, J. Joosten, P. Devos, A. Vandecruys, J.L. Willems and M. De Roo: Background correction in factor analysis of dynamic scintigraphic studies: necessity and implementation. Physics in Medicine and Biology 35, 1477–1485 (1990)

    Article  PubMed  Google Scholar 

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Harrison H. Barrett A. F. Gmitro

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© 1993 Springer-Verlag Berlin Heidelberg

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Benali, H., Buvat, I., Frouin, F., Bazin, J.P., Di Paola, R. (1993). Foundations of factor analysis of medical image sequences: A unified approach and some practical implications. In: Barrett, H.H., Gmitro, A.F. (eds) Information Processing in Medical Imaging. IPMI 1993. Lecture Notes in Computer Science, vol 687. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0013802

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  • DOI: https://doi.org/10.1007/BFb0013802

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56800-1

  • Online ISBN: 978-3-540-47742-6

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