Skip to main content

Advertisement

Log in

Simultaneous Denoising of Dynamic PET Images Based on Deep Image Prior

  • Published:
Journal of Digital Imaging Aims and scope Submit manuscript

Abstract

Parametric imaging obtained from kinetic modeling analysis of dynamic positron emission tomography (PET) data is a useful tool for quantifying tracer kinetics. However, pixel-wise time-activity curves have high noise levels which lead to poor quality of parametric images. To solve this limitation, we proposed a new image denoising method based on deep image prior (DIP). Like the original DIP method, the proposed DIP method is an unsupervised method, in which no training dataset is required. However, the difference is that our method can simultaneously denoise all dynamic PET images. Moreover, we propose a modified version of the DIP method called double DIP (DDIP), which has two DIP architectures. The additional DIP model is used to generate high-quality input data for the second DIP model. Computer simulations were performed to evaluate the performance of the proposed DIP-based methods. Our simulation results showed that the DDIP method outperformed the single DIP method. In addition, the DDIP method combined with data augmentation could generate PET parametric images with superior image quality compared to the spatiotemporal-based non-local means filtering and high constrained backprojection. Our preliminary results show that our proposed DDIP method is a novel and effective unsupervised method for simultaneously denoising dynamic PET images.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

Availability of Data and Material

If anyone asks for data, we will provide data via e-mail.

Code Availability

If anyone asks for source code, we will provide source code via e-mail.

References

  1. Carson RE. Tracer kinetic modeling in PET. Positron Emiss. Tomogr., Springer-Verlag; 127–159, 2006

    Google Scholar 

  2. Kotasidis FA, Tsoumpas C, Rahmim A: Advanced kinetic modelling strategies: Towards adoption in clinical PET imaging. Clin Transl Imaging 2:219–37, 2014

    Article  Google Scholar 

  3. Ko BS, Cameron JD, DeFrance T, Seneviratne SK: CT stress myocardial perfusion imaging using Multidetector CT-A review. J Cardiovasc Comput Tomogr 5:345–356, 2011

    Article  Google Scholar 

  4. Koh TS, Ng QS, Thng CH, Kwek JW, Kozarski R, Goh V: Primary colorectal cancer: Use of kinetic modeling of dynamic contrast-enhanced CT data to predict clinical outcome. Radiology 267:145–154, 2013

    Article  Google Scholar 

  5. Khalifa F, Soliman A, El-Baz A, Abou El-Ghar M, El-Diasty T, Gimel’Farb G, et al: Models and methods for analyzing DCE-MRI: A review. Med Phys 41:124301, 2014

    Google Scholar 

  6. Gaddikeri S, Gaddikeri RS, Tailor T, Anzai Y: Dynamic contrast-enhanced MR imaging in head and neck cancer: Techniques and clinical applications. Am J Neuroradiol 37:588–595, 2016

    Article  CAS  Google Scholar 

  7. Lu L, Karakatsanis NA, Tang J, Chen W, Rahmim A: 3.5D dynamic PET image reconstruction incorporating kinetics-based clusters. Phys Med Biol 57:5035–5055, 2012

    Article  Google Scholar 

  8. Wang G, Qi J: PET image reconstruction using Kernel method. IEEE Trans Med Imaging 34:61–71, 2015

    Article  CAS  Google Scholar 

  9. Cao S, He Y, Zhang H, Lv W, Lu L, Chen W: Dynamic PET image reconstruction incorporating multiscale superpixel clusters. IEEE Access 9:28965–28975, 2021

    Article  Google Scholar 

  10. Shidahara M, Ikoma Y, Kershaw J, Kimura Y, Naganawa M, Watabe H: PET kinetic analysis: Wavelet denoising of dynamic PET data with application to parametric imaging. Ann Nucl Med 21:379–386, 2007

    Article  Google Scholar 

  11. Christian BT, Vandehey NT, Floberg JM, Mistretta CA: Dynamic PET denoising with HYPR processing. J Nucl Med 51:1147–1154, 2010

    Article  Google Scholar 

  12. Dutta J, Leahy RM, Li Q: Non-local means denoising of dynamic PET images. PLoS One 8:e81390, 2013

    Article  Google Scholar 

  13. Lu L, Hu D, Ma X, Ma J, Rahmim A, Chen W: Dynamic PET denoising incorporating a composite image guided filter. 2014 IEEE Nucl. Sci. Symp. Med. Imaging Conf. NSS/MIC 2014, Institute of Electrical and Electronics Engineers Inc.; 2016

  14. Guo H, Renaut RA, Chen K, Reiman E: FDG-PET parametric imaging by total variation minimization. Comput Med Imaging Graph 33:295–303, 2009

    Article  Google Scholar 

  15. Huang HM, Liu CC, Lin C: Indirect methods for improving parameter estimation of PET kinetic models. Med Phys 46:1777–1784, 2019

    Article  Google Scholar 

  16. Huang HM: Kernel-based curve-fitting method with spatial regularization for generation of parametric images in dynamic PET. Phys Med Biol 65:225006, 2020

    Article  CAS  Google Scholar 

  17. Kamasak ME, Bouman CA, Morris ED, Sauer K: Direct reconstruction of kinetic parameter images from dynamic PET data. IEEE Trans Med Imaging 24:636–650, 2005

    Article  CAS  Google Scholar 

  18. Germino M, Gallezot JD, Yan J, Carson RE: Direct reconstruction of parametric images for brain PET with event-by-event motion correction: Evaluation in two tracers across count levels. Phys Med Biol 62:5344–5364, 2017

    Article  CAS  Google Scholar 

  19. Gong K, Cheng-Liao J, Wang G, Chen KT, Catana C, Qi J: Direct Patlak reconstruction from dynamic PET data using the Kernel method with MRI information based on structural similarity. IEEE Trans Med Imaging 37:955–965, 2018

    Article  Google Scholar 

  20. Tian C, Fei L, Zheng W, Xu Y, Zuo W, Lin CW: Deep learning on image denoising: An overview. Neural Networks 131:251–275, 2020

    Article  Google Scholar 

  21. Lempitsky V, Vedaldi A, Ulyanov D. Deep image prior. Proc. IEEE Comput. Soc. Conf. Comput. Vis. Pattern Recognit., IEEE Computer Society; 9446–9454, 2018

    Google Scholar 

  22. Hashimoto F, Ohba H, Ote K, Teramoto A, Tsukada H: Dynamic PET image denoising using deep convolutional neural networks without prior training datasets. IEEE Access 7:96594–96603, 2019

    Article  Google Scholar 

  23. Camuto A, Willetts M, Şimşekli U, Roberts S, Holmes C: Explicit regularisation in Gaussian noise injections. ArXiv 2007.07368v6, 2020

  24. Kingma DP, Ba JL: Adam: A method for stochastic optimization. 3rd Int. Conf. Learn. Represent. ICLR 2015 - Conf. Track Proc., International Conference on Learning Representations, ICLR; 1412.6980, 2015

  25. Huang SC, Phelps ME, Hoffman EJ, Sideris K, Selin CJ, Kuhl DE: Noninvasive determination of local cerebral metabolic rate of glucose in man. Am J Physiol 238:69–82, 1980

    Google Scholar 

  26. Häggström I, Beattie BJ, Schmidtlein CR. Dynamic PET simulator via tomographic emission projection for kinetic modeling and parametric image studies. Med Phys 43:3104-3116, 2016

    Article  Google Scholar 

  27. Branch MA, Coleman TF, Li Y: A subspace, interior, and conjugate gradient method for large-scale bound-constrained minimization problems. SIAM J Sci Comput 21:1–23, 1999

    Article  Google Scholar 

  28. Byrd RH, Schnabel RB, Shultz GA: Approximate solution of the trust region problem by minimization over two-dimensional subspaces. Math Program 40:247–263,1988

    Article  Google Scholar 

  29. Jin SC, Hsieh CJ, Chen JC, Tu SH, Chen YC, Hsiao TC, et al: Development of limited-angle iterative reconstruction algorithms with context encoder-based sinogram completion for micro-CT applications. Sensors 18:4458, 2018

    Article  Google Scholar 

  30. Zhou Q, Zhou C, Hu H, Chen Y, Chen S, Li X: Towards the automation of deep image prior. ArXiv 1911.07185, 2019

    Google Scholar 

Download references

Funding

This study has received funding by MOST 110–2221-E-002–029 from Ministry of Science and Technology, Taiwan.

Author information

Authors and Affiliations

Authors

Contributions

Cheng-Hsun Yang is responsible for implementation and data analysis. Hsuan-Ming Huang is responsible for writing the manuscript.

Corresponding author

Correspondence to Hsuan-Ming Huang.

Ethics declarations

Ethics Approval

Not applicable. This is a simulation study.

Consent to Participate

Not applicable.

Consent for Publication

Authors are responsible for correctness of the statements provided in the manuscript. See also Authorship Principles. The Editor-in-Chief reserves the right to reject submissions that do not meet the guidelines described in this section.

Additional Declarations for Articles in Life Science Journals that Report the Results of Studies Involving Humans and/or Animals

Not applicable.

Conflict of Interest

The authors declare no competing interests.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Appendix

Appendix

figure 9

Fig. 9 Parametric images of K1, k2, k3, and Ki obtained using KEM-reconstructed dynamic PET images with the proposed DIP-based denoising methods: SDIP and SDIP-DA. Both SDIP and SDIP-DA methods were repeated twice

figure 10

Fig. 10 RMSE of K1, k2, k3, and Ki for SDIP and SDIP-DA. Both SDIP and SDIP-DA were repeated twice

figure 11

Fig. 11 The four time-averaged PET images (xmean and \({\mathrm{x}}_{\mathrm{mean}}^{*}\)) obtained from noisy dynamic PET images (top) and the first DIP output of the DDIP model (bottom)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yang, CH., Huang, HM. Simultaneous Denoising of Dynamic PET Images Based on Deep Image Prior. J Digit Imaging 35, 834–845 (2022). https://doi.org/10.1007/s10278-022-00606-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10278-022-00606-x

Keywords

Navigation