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PET kinetic analysis: wavelet denoising of dynamic PET data with application to parametric imaging

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Abstract

Physiological functions (e.g., cerebral blood flow, glucose metabolism, and neuroreceptor binding) can be investigated as parameters estimated by kinetic modeling using dynamic positron emission tomography (PET) images. Imaging of these physiological parameters, called parametric imaging, can locate the regional distribution of functionalities. However, the most serious technical issue affecting parametric imaging is noise in dynamic PET data. This review describes wavelet denoising of dynamic PET images for improving image quality in estimated parametric images. Wavelet denoising provides significantly improved quality directly to dynamic PET images and indirectly to estimated parametric images. The application of wavelet denoising to radio-ligand and kinetic analysis is still in the development stage, but even so, it is thought that wavelet techniques will have a substantial impact on nuclear medicine in the near future.

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References

  1. Y Kimura M Naganawa M Shidahara Y Ikoma H Watabe (2007) ArticleTitlePET kinetic analysis: pitfalls and a solution for the Logan plot Ann Nucl Med 21 1–8 Occurrence Handle17373330

    PubMed  Google Scholar 

  2. H Watabe Y Ikoma Y Kimura M Naganawa M Shidahara (2006) ArticleTitlePET kinetic analysis: compartment model Ann Nucl Med 20 583–8 Occurrence Handle17294668 Occurrence Handle1:CAS:528:DC%2BD2sXhvFyktr4%3D Occurrence Handle10.1007/BF02984655

    Article  PubMed  CAS  Google Scholar 

  3. MA King TR Miller (1985) ArticleTitleUse of a nonstationary temporal Wiener filter in nuclear medicine Eur J Nucl Med 10 458–61 Occurrence Handle4006989 Occurrence Handle10.1007/BF00256591 Occurrence Handle1:STN:280:DyaL2M3jtVOnuw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  4. MA King BC Penny SJ Click (1988) ArticleTitleAn image-dependent Metz filter for nuclear-medicine images J Nucl Med 29 1980–9 Occurrence Handle3264021 Occurrence Handle1:STN:280:DyaL1M%2FlsFemsA%3D%3D

    PubMed  CAS  Google Scholar 

  5. TR Miller KS Sampathkumaran (1982) ArticleTitleDigital filtering in nuclear medicine J Nucl Med 23 66–72 Occurrence Handle7054454 Occurrence Handle1:STN:280:DyaL387gtVenug%3D%3D

    PubMed  CAS  Google Scholar 

  6. J Vareg V Bettinardi MC Gilardi C Riddel I Castiglioni G Rizzo et al. (1997) ArticleTitleEvaluation of pre- and post-reconstruction count dependent Metz filters for brain PET studies Med Phys 24 1431–40 Occurrence Handle10.1118/1.598031

    Article  Google Scholar 

  7. K Herholz (1988) ArticleTitleNon-stationary spatial filtering and accelerated curve fitting for parametric imaging with dynamic PET Eur J Nucl Med 14 477–84 Occurrence Handle3265103 Occurrence Handle10.1007/BF00252392 Occurrence Handle1:STN:280:DyaL1M7gslansQ%3D%3D

    Article  PubMed  CAS  Google Scholar 

  8. K Kitamura H Iida M Shidahara S Miura I Kanno (2000) ArticleTitleNoise reduction in PET attenuation correction using non-linear Gaussian filters IEEE Trans Nucl Sci 47 994–9 Occurrence Handle10.1109/23.856537

    Article  Google Scholar 

  9. D Donoho J Johnstone (1994) ArticleTitleIdeal spatial adaptation by wavelet shrinkage Biometrika 81 425–55 Occurrence Handle10.1093/biomet/81.3.425

    Article  Google Scholar 

  10. AF Laine (2000) ArticleTitleWavelet in temporal and spatial processing of biomedical images Ann Rev Biomed Eng 2 511–50 Occurrence Handle10.1146/annurev.bioeng.2.1.511 Occurrence Handle1:CAS:528:DC%2BD3cXnsVakur4%3D

    Article  CAS  Google Scholar 

  11. S Mallat (1999) A wavelet tour of signal processing EditionNumber2nd edn Academic New York

    Google Scholar 

  12. S Mallat (1989) ArticleTitleA theory for multiresolution signal decomposition: the wavelet representation IEEE Trans Pattern Anal Machine Intell 11 647–93 Occurrence Handle10.1109/34.192463

    Article  Google Scholar 

  13. D Donoho (1995) ArticleTitleDe-noising by soft-thresholding IEEE Trans Inf Theory 41 613–27 Occurrence Handle10.1109/18.382009

    Article  Google Scholar 

  14. D Donoho J Johnstone (1995) ArticleTitleAdapting to unknown smoothness via wavelet shrinkage J Am Stat Assoc 90 1200–23 Occurrence Handle10.2307/2291512

    Article  Google Scholar 

  15. SG Chang B Yu M Vetterli (2000) ArticleTitleAdaptive wavelet thresholding for image denoising and compression IEEE Trans Image Process 9 1532–46 Occurrence Handle10.1109/83.862633 Occurrence Handle18262991 Occurrence Handle1:STN:280:DC%2BD1c7gsV2gsA%3D%3D

    Article  PubMed  CAS  Google Scholar 

  16. CM Stein (1981) ArticleTitleEstimation of the mean of a multivariate normal distribution Ann Stat 9 1135–51

    Google Scholar 

  17. James W, Stein C. Estimation with quadratic loss. In: Proceedings of the 4th Berkeley symposium. vol. 1. Mathematics statistics, Berkley. CA: 1961. p. 361–79

  18. M Jansen M Malfait A Bultheel (1997) ArticleTitleGeneralized cross validation for wavelet thresholding IEEE Trans Signal Process 56 33–44

    Google Scholar 

  19. I Johnstone B Silverman (2005) ArticleTitleEmpirical Bayes selection of wavelet thresholds Ann Stat 33 1700–52 Occurrence Handle10.1214/009053605000000345

    Article  Google Scholar 

  20. MS Crouse RD Nowak RG Baraniuk (1998) ArticleTitleWavelet-based statistical signal processing using hidden Markov models IEEE Trans Signal Process 46 886–902 Occurrence Handle10.1109/78.668544

    Article  Google Scholar 

  21. P Millet V Ibanez J Delforge S Pappata J Guimon (2000) ArticleTitleWavelet analysis of dynamic PET data: application to the parametric imaging of Benzodiazepine receptor concentration Neuroimage 11 458–72 Occurrence Handle10806032 Occurrence Handle10.1006/nimg.2000.0563 Occurrence Handle1:STN:280:DC%2BD3c3mvVWntw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  22. FE Turkheimer M Brett D Visvikis VJ Cunningham (1999) ArticleTitleMultiresolution analysis of emission tomography images in the wavelet domain J Cereb Blood Flow Metab 19 1189–208 Occurrence Handle10566965 Occurrence Handle10.1097/00004647-199911000-00003 Occurrence Handle1:STN:280:DC%2BD3c%2FjtFansw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  23. FE Turkheimer RB Banati D Visvikis JA Aston RN Gunn VJ Cunningham (2000) ArticleTitleModeling dynamic PET-SPECT studies in the wavelet domain J Cereb Blood Flow Metab 20 879–93 Occurrence Handle10826539 Occurrence Handle1:STN:280:DC%2BD3c3osVOksA%3D%3D Occurrence Handle10.1097/00004647-200005000-00015

    Article  PubMed  CAS  Google Scholar 

  24. FE Turkheimer M Brett JA Aston AP Leff PA Sargent RJ Wise et al. (2000) ArticleTitleStatistical modeling of positron emission tomography images in wavelet space J Cereb Blood Flow Metab 20 1610–8 Occurrence Handle11083236 Occurrence Handle10.1097/00004647-200011000-00011 Occurrence Handle1:STN:280:DC%2BD3M%2FjsV2ntw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  25. FE Turkheimer JA Aston RB Banati C Riddell VJ Cunningham (2003) ArticleTitleA linear wavelet filter for parametric imaging with dynamic PET IEEE Trans Med Imag 22 289–301 Occurrence Handle10.1109/TMI.2003.809597

    Article  Google Scholar 

  26. FE Turkheimer JA Aston MC Asselin R Hinz (2006) ArticleTitleMulti-resolution Bayesian regression in PET dynamic studies using wavelets Neuroimage 32 111–21 Occurrence Handle16644238 Occurrence Handle10.1016/j.neuroimage.2006.03.002 Occurrence Handle1:STN:280:DC%2BD28vjvVShtg%3D%3D

    Article  PubMed  CAS  Google Scholar 

  27. Z Cselenyi H Olsson L Farde B Gulyas (2000) ArticleTitleWavelet-aided parametric mapping of cerebral dopamine D2 receptors using the high affinity PET radioligand [11C]FLB 457 Neuroimage 17 47–60 Occurrence Handle10.1006/nimg.2002.1152

    Article  Google Scholar 

  28. Z Cselenyi H Olsson C Halldin B Gulyas L Farde (2006) ArticleTitleA comparison of recent parametric neuroreceptor mapping approaches based on measurements with the high affinity PET radioligands [11C]FLB and [11C]WAY 100635 Neuroimage 32 1690–708 Occurrence Handle16859930 Occurrence Handle10.1016/j.neuroimage.2006.02.053

    Article  PubMed  Google Scholar 

  29. NM Alpert A Reilhac TC Chio I Selesnick (2006) ArticleTitleOptimization of dynamic measurement of receptor kinetics by wavelet denoising Neuroimage 30 444–51 Occurrence Handle16257238 Occurrence Handle10.1016/j.neuroimage.2005.09.031

    Article  PubMed  Google Scholar 

  30. M Sakata Y Kimura M Naganawa K Oda K Ishii K Chihara et al. (2007) ArticleTitleMapping of human cerebral sigma(1) receptors using positron emission tomography and [(11)C]SA4503 Neuroimage 25 1–8 Occurrence Handle10.1016/j.neuroimage.2006.11.055

    Article  Google Scholar 

  31. JW Lin AF Laine SR Bergmann (2001) ArticleTitleImproving PET-based physiological quantification through methods of wavelet denoising IEEE Trans Biomed Eng 48 202–12 Occurrence Handle11296876 Occurrence Handle10.1109/10.909641 Occurrence Handle1:STN:280:DC%2BD3M3islGhuw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  32. JW Lin RR Sciacca RL Chou AF Laine SR Bergmann (2001) ArticleTitleQuantification of myocardial perfusion in human subjects using 82Rb and wavelet-based noise reduction J Nucl Med 42 201–8 Occurrence Handle11216517 Occurrence Handle1:STN:280:DC%2BD3M7kt1Crug%3D%3D

    PubMed  CAS  Google Scholar 

  33. JW Lin AF Laine O Akinboboye SR Bergmann (2001) ArticleTitleUse of wavelet transforms in analysis of time-activity data from cardiac PET J Nucl Med 42 194–200 Occurrence Handle11216516 Occurrence Handle1:STN:280:DC%2BD3M7kt1CrtQ%3D%3D

    PubMed  CAS  Google Scholar 

  34. JW Lin AF Laine SR Bergmann (2001) ArticleTitleImproving PET-based physiological quantification through methods of wavelet denoising IEEE Trans Biomed Eng 48 202–12 Occurrence Handle11296876 Occurrence Handle10.1109/10.909641 Occurrence Handle1:STN:280:DC%2BD3M3islGhuw%3D%3D

    Article  PubMed  CAS  Google Scholar 

  35. L Arjoul M Bentourkia (2005) ArticleTitleStudy of myocardial glucose metabolism in rats with PET using wavelet analysis technique Comput Med Imaging Graph 25 357–65 Occurrence Handle10.1016/j.compmedimag.2005.01.001

    Article  Google Scholar 

  36. M Unser A Aldroubi AF Laine (2003) ArticleTitleGuest editorial: wavelets in medical imaging IEEE Med Imag 22 285–8 Occurrence Handle10.1109/TMI.2003.809638

    Article  Google Scholar 

  37. N Boussion M Hatt F Lamare Y Bizais A Turzo C Cheze-Le Rest et al. (2006) ArticleTitleA multiresolution image based approach for correction of partial volume effects in emission tomography Phys Med Biol 51 1857–76 Occurrence Handle16552110 Occurrence Handle10.1088/0031-9155/51/7/016 Occurrence Handle1:STN:280:DC%2BD287mtlCltQ%3D%3D

    Article  PubMed  CAS  Google Scholar 

  38. C Christopoulos A Skodras T Ebrahimi (2000) ArticleTitleThe JPEG2000 still image coding system: an overview IEEE Trans Consumer Electronics 46 1103–27 Occurrence Handle10.1109/30.920468

    Article  Google Scholar 

  39. J Starck (1998) Image processing and data analysis: the multiscale approach Cambridge University Press Cambridge

    Google Scholar 

  40. Y Choi JY Koo NY Lee (2001) ArticleTitleImage reconstruction using the wavelet transform for positron emission tomography IEEE Med Imag 20 1188–93 Occurrence Handle10.1109/42.963822 Occurrence Handle1:STN:280:DC%2BD3MnkvVGksA%3D%3D

    Article  CAS  Google Scholar 

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Authors and Affiliations

  1. Biophysics Group, Molecular Imaging Center, National Institute of Radiological Sciences, 4-9-1 Anagawa, Inage-ku, Chiba, 263-8555, Japan

    Miho Shidahara, Jeff Kershaw, Yuichi Kimura & Mika Naganawa

  2. Department of Investigative Radiology, National Cardio-Vascular Center Research Institute, Osaka, Japan

    Yoko Ikoma & Hiroshi Watabe

  3. Japan Society for the Promotion of Science, Tokyo, Japan

    Mika Naganawa

Authors
  1. Miho Shidahara
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  2. Yoko Ikoma
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  3. Jeff Kershaw
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  4. Yuichi Kimura
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  5. Mika Naganawa
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  6. Hiroshi Watabe
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Corresponding author

Correspondence to Miho Shidahara.

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Shidahara, M., Ikoma, Y., Kershaw, J. et al. PET kinetic analysis: wavelet denoising of dynamic PET data with application to parametric imaging. Ann Nucl Med 21, 379–386 (2007). https://doi.org/10.1007/s12149-007-0044-9

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  • DOI: https://doi.org/10.1007/s12149-007-0044-9

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