Abstract
Rigid slice-to-volume registration is a challenging task, which finds application in medical imaging problems like image fusion for image guided surgeries and motion correction for volume reconstruction. It is usually formulated as an optimization problem and solved using standard continuous methods. In this paper, we discuss how this task be formulated as a discrete labeling problem on a graph. Inspired by previous works on discrete estimation of linear transformations using Markov Random Fields (MRFs), we model it using a pairwise MRF, where the nodes are associated to the rigid parameters, and the edges encode the relation between the variables. We compare the performance of the proposed method to a continuous formulation optimized using simplex, and we discuss how it can be used to further improve the accuracy of our approach. Promising results are obtained using a monomodal dataset composed of magnetic resonance images (MRI) of a beating heart.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
The source code can be downloaded from https://gitlab.com/franco.stramana1/slice-to-volume.
References
Bao, P., Warmath, J., Galloway, R., Herline, A.: Ultrasound-to-computer-tomography registration for image-guided laparoscopic liver surgery. Surg. Endosc. 19, 424–429 (2005)
Birkfellner, W., Figl, M., Kettenbach, J., Hummel, J., Homolka, P., Schernthaner, R., Nau, T., Bergmann, H.: Rigid 2D/3D slice-to-volume registration and its application on fluoroscopic CT images. Med. Phys. 34(1), 246 (2007)
Boykov, Y., Kolmogorov, V.: An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision. IEEE TPAMI 26(9), 1124–1137 (2004)
Boykov, Y., Veksler, O., Zabih, R.: Fast approximate energy minimization via graph cuts. IEEE Trans. Pattern Anal. Mach. Intell. 23(11), 1222–1239 (2001)
Fei, B., Duerk, J.L., Boll, D.T., Lewin, J.S., Wilson, D.L.: Slice-to-volume registration and its potential application to interventional MRI-guided radio-frequency thermal ablation of prostate cancer. IEEE Trans. Med. Imaging 22(4), 515–525 (2003)
Ferrante, E., Fecamp, V., Paragios, N.: Implicit planar and in-plane deformable mapping in medical images through high order graphs. In: ISBI 2015, pp. 721–724, April 2015. http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7163974
Ferrante, E., Fecamp, V., Paragios, N.: Slice-to-volume deformable registration: efficient one-shot consensus between plane selection and in-plane deformation. IJCARS 10, 791–800 (2015)
Ferrante, Enzo, Paragios, Nikos: Non-rigid 2D-3D medical image registration using markov random fields. In: Mori, Kensaku, Sakuma, Ichiro, Sato, Yoshinobu, Barillot, Christian, Navab, Nassir (eds.) MICCAI 2013. LNCS, vol. 8151, pp. 163–170. Springer, Heidelberg (2013). doi:10.1007/978-3-642-40760-4_21
Gholipour, A., Estroff, J.A., Warfield, S.K.: Robust super-resolution volume reconstruction from slice acquisitions: application to fetal brain MRI. IEEE TMI 29(10), October 2010. http://www.pubmedcentral.nih.gov/articlerender.fcgi?artid=3694441&tool=pmcentrez&rendertype=abstract, http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=5482022
Glocker, B., Sotiras, A.: Deformable medical image registration: setting the state of the art with discrete methods. Annu. Rev. Biomed. Eng. 13, 219–244 (2011)
Heinrich, M.P., Jenkinson, M., Brady, M., Schnabel, J.A.: MRF-based deformable registration and ventilation estimation of lung CT. IEEE TMI 32(7), 1239–1248 (2013)
Huang, X., Moore, J., Guiraudon, G., Jones, D.L., Bainbridge, D., Ren, J., Peters, T.M.: Dynamic 2D ultrasound and 3D CT image registration of the beating heart. IEEE TMI 28(8), 1179–1189 (2009)
Kim, B., Boes, J.L., Bland, P.H., Chenevert, T.L., Meyer, C.R.: Motion correction in fMRI via registration of individual slices into an anatomical volume. Magn. Reson. Med. 41(5), 964–972 (1999)
Komodakis, N., Tziritas, G., Paragios, N.: Fast, approximately optimal solutions for single and dynamic MRFs. In: CVPR (2007)
Komodakis, N., Tziritas, G., Paragios, N.: Performance vs computational efficiency for optimizing single and dynamic MRFs: setting the state of the art with primal-dual strategies. Comput. Vis. Image Underst. 112(1), 14–29 (2008). http://linkinghub.elsevier.com/retrieve/pii/S1077314208000982
Lempitsky, V., Roth, S., Rother, C.: FusionFlow: discrete-continuous optimization for optical flow estimation. In: CVPR, pp. 1–22 (2008)
Liao, R., Zhang, L., Sun, Y., Miao, S., Chefd’Hotel, C.: A review of recent advances in registration techniques applied to minimally invasive therapy. IEEE TMM 15(5), 983–1000 (2013)
Nelder, J.A., Mead, R.: A simplex method for function minimization. Comput. J. 7(4), 308–313 (1965). http://comjnl.oxfordjournals.org/cgi/doi/10.1093/comjnl/7.4.308
Paragios, N., Ferrante, E., Glocker, B., Komodakis, N., Parisot, S., Zacharaki, E.I.: (Hyper)-graphical models in biomedical image analysis. Med. Image Anal. (2016). http://linkinghub.elsevier.com/retrieve/pii/S1361841516301062
Park, H., Meyer, C.R., Kim, B.: Improved motion correction in fMRI by Joint mapping of slices into an anatomical volume. In: MICCAI, pp. 745–751 (2004)
Rousseau, F., Glenn, O.: A novel approach to high resolution fetal brain MR imaging. Medical Image Computing and Computer-Assisted Intervention (MICCAI), vol. 3749, pp. 548–555 (2005). http://link.springer.com/10.1007/11566465
Sotiras, A., Davatazikos, C., Paragios, N.: Deformable medical image registration: a survey. IEEE Trans. Med. Imaging 32, 1153–1190 (2013)
Tadayyon, H., Lasso, A., Kaushal, A., Guion, P., Fichtinger, G.: Target motion tracking in MRI-guided transrectal robotic prostate biopsy. IEEE TBE 58(11), 3135–3142 (2011)
Wang, C., Komodakis, N., Paragios, N.: Markov random field modeling, inference & learning in computer vision & image understanding: a survey. CVIU 117(11), 1610–1627 (2013). http://linkinghub.elsevier.com/retrieve/pii/S1077314213001343
Xu, R., Athavale, P., Nachman, A., Wright, G.A.: Multiscale registration of real-time and prior MRI data for image-guided cardiac interventions. IEEE TBE 61, 2621–2632 (2014)
Zikic, D., Glocker, B., Kutter, O., Groher, M., Komodakis, N., Khamene, A., Paragios, N., Navab, N.: Markov random field optimization for intensity-based 2D–3D registration. In: SPIE Medical Imaging, p. 762334. International Society for Optics and Photonics (2010)
Zikic, D., Glocker, B., Kutter, O., Groher, M., Komodakis, N., Kamen, A., Paragios, N., Navab, N.: Linear intensity-based image registration by Markov random fields and discrete optimization. Med. Image Anal. 14(4), 550–562 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing AG
About this paper
Cite this paper
Porchetto, R., Stramana, F., Paragios, N., Ferrante, E. (2017). Rigid Slice-To-Volume Medical Image Registration Through Markov Random Fields. In: Müller, H., et al. Medical Computer Vision and Bayesian and Graphical Models for Biomedical Imaging. BAMBI MCV 2016 2016. Lecture Notes in Computer Science(), vol 10081. Springer, Cham. https://doi.org/10.1007/978-3-319-61188-4_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-61188-4_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-61187-7
Online ISBN: 978-3-319-61188-4
eBook Packages: Computer ScienceComputer Science (R0)