Abstract
In this paper, we propose a new scheme to detect and align simultaneously peaks that correspond to different metabolites within a biopsy. The proposed peak detection and alignment scheme is based on the use of evidence theory, which is well suited to model uncertainty and imprecision characterizing the 2D NMR HR-MAS spectra. Consequently, we propose the coupling use of Bayesian and fuzzy set theories to model and quantify the imprecision degree, which is then exploited to define the mass function. We particularly show that our new mass function definition and the use of evidence theory for peak detection and alignment achieve consistently high performance compared to a Bayesian scheme on both synthetic and real spectra. The high quality of peak alignment precision reached by the use of evidence theory allows us to efficiently detect reliable biomarkers, which is an essential step for a better therapeutic and human complement system management in case of multiple sclerosis disease, cancer, etc.
Similar content being viewed by others
References
Jemal A., Siegel R., Ward E., Hao Y., Xu J., Thun M.J.: Cancer statistics, 2009. CA Cancer J. Clin. 59(4), 225 (2009)
Piotto M., Moussallieh F.M., Dillmann B., Imperiale A., Neuville A., Brigand C., Bellocq J.P., Elbayed K., Namer I.J.: Metabolic characterization of primary human colorectal cancers using high resolution magic angle spinning 1 H magnetic resonance spectroscopy. Metabolomics 5(3), 292–301 (2009)
Griffin J.L., Shockcor J.P.: Metabolic profiles of cancer cells. Nat. Rev. Cancer 4(7), 551–561 (2004)
Zheng M., Lu P., Liu Y., Pease J., Usuka J., Liao G., Peltz G.: 2D NMR metabonomic analysis: a novel method for automated peak alignment. Bioinformatics 23(21), 2926 (2007)
Chui H., Rangarajan A.: A new point matching algorithm for non-rigid registration. Comput. Vis. Image Underst. 89(2–3), 114–141 (2003)
Haeb-Umbach R., Ney H.: Improvements in beam search for 10000-word continuous-speech recognition. Speech Audio Process. IEEE Trans. 2(2), 353–356 (1994)
Shafer, G.: A mathematical Theory of Evidence. (1976)
Burduk, R.: Imprecise information in Bayes classifier. Pattern. Anal. Appl. 14, 1–7
Flitti F., Collet C., Slezak E.: Image fusion based on pyramidal multiband multiresolution markovian analysis. Signal Image Video Process. 3(3), 275–289 (2009)
Bezdek J.C., Keller J., Krisnapuram R., Pal N.R.: Fuzzy Models and Algorithms for Pattern Recognition and Image Processing. Kluwer Academic Publishers, Dordrecht (1999)
Gautam R.S., Singh D., Mittal A.: A fuzzy logic approach to detect hotspots with NOAA/AVHRR image using multi-channel information fusion technique. Signal Image Video Process. 1(4), 347–357 (2007)
Sao A.K., Yegnanarayana B., Vijaya Kumar B.V.K.: Significance of image representation for face verification. Signal Image Video Process. 1(3), 225–237 (2007)
Becker E.D.: High Resolution NMR: Theory and Chemical Applications. Academic Press, NY (2000)
Shafer G.: A Mathematical Theory of Evidence. Princeton university press , Princeton (1976)
Kohlas J., Monney P.A.: A Mathematical Theory of Hints: An Approach to the Dempster–Shafer Theory of Evidence. Springer, Berlin (1995)
Bodenhausen G., Bolton P.H.: Elimination of flip angle effects in two-dimensional NMR spectroscopy. Application to cyclic nucleotides. J. Magn. Reson. 39, 399 (1980)
Smith F.M., Roberts G.O.: Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J. R. Stat. Soc. Series B Methodol. 55(1), 3–23 (1993)
Hsiao T., Rangarajan A., Gindi G.: Bayesian image reconstruction for transmission tomography using deterministic annealing. J. Electron. Imaging 12, 7 (2003)
Dobigeon N., Moussaoui S., Tourneret J.Y., Carteret C.: Bayesian separation of spectral sources under non-negativity and full additivity constraints. Signal Process. 89(12), 2657–2669 (2009)
Cowles M.K., Carlin B.P.: Markov chain Monte Carlo convergence diagnostics: a comparative review. J. Am. Stat. Assoc. 91(434), 883–904 (1996)
Toews, M., Collins, D.L., Arbel, T.: Maximum a posteriori local histogram estimation for image registration. Medical Image Computing and Computer-Assisted Intervention—MICCAI, pp. 163–170 (2005)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Belghith, A., Collet, C., Rumbach, L. et al. A unified framework for peak detection and alignment: application to HR-MAS 2D NMR spectroscopy. SIViP 7, 833–842 (2013). https://doi.org/10.1007/s11760-011-0272-2
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11760-011-0272-2