Abstract
We present a volumetric mesh-based algorithm for flattening the placenta to a canonical template to enable effective visualization of local anatomy and function. Monitoring placental function in vivo promises to support pregnancy assessment and to improve care outcomes. We aim to alleviate visualization and interpretation challenges presented by the shape of the placenta when it is attached to the curved uterine wall. To do so, we flatten the volumetric mesh that captures placental shape to resemble the well-studied ex vivo shape. We formulate our method as a map from the in vivo shape to a flattened template that minimizes the symmetric Dirichlet energy to control distortion throughout the volume. Local injectivity is enforced via constrained line search during gradient descent. We evaluate the proposed method on 28 placenta shapes extracted from MRI images in a clinical study of placental function. We achieve sub-voxel accuracy in mapping the boundary of the placenta to the template while successfully controlling distortion throughout the volume. We illustrate how the resulting mapping of the placenta enhances visualization of placental anatomy and function. Our implementation is freely available at https://github.com/mabulnaga/placenta-flattening.
Keywords
- Placenta
- Fetal MRI
- Flattening
- Injective maps
- Volumetric mesh parameterization
- Anatomy visualization
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Fang, Q., Boas, D.A.: Tetrahedral mesh generation from volumetric binary and grayscale images. In: 2009 IEEE ISBI, pp. 1142–1145 (2009)
Fischl, B., Sereno, M.I., Dale, A.M.: Cortical surface-based analysis: II: inflation, flattening, and a surface-based coordinate system. Neuroimage 9, 195–207 (1999)
Joshi, P., Meyer, M., DeRose, T., Green, B., Sanocki, T.: Harmonic coordinates for character articulation. ACM Trans. Graph. 26(3), 87–93 (2007)
Leow, A.D., et al.: Statistical properties of Jacobian maps and the realization of unbiased large-deformation nonlinear image registration. IEEE TMI 26(6), 822–832 (2007)
Luo, J., et al.: In vivo quantification of placental insufficiency by BOLD MRI: a human study. Sci. Rep. 7(1), 3713 (2017)
Miao, H., et al.: Placenta maps: in utero placental health assessment of the human fetus. IEEE TVCG 23(6), 1612–1623 (2017)
Ng, A.Y., Jordan, M.I., Weiss, Y.: On spectral clustering: analysis and an algorithm. In: Advances in Neural Information Processing Systems, pp. 849–856 (2002)
Rabinovich, M., Poranne, R., Panozzo, D., Sorkine-Hornung, O.: Scalable locally injective mappings. ACM Trans. Graph. 36(4) (2017)
Schreiner, J., Asirvatham, A., Praun, E., Hoppe, H.: Inter-surface mapping. ACM Trans. Graph. 23(3), 870–877 (2004)
Smith, J., Schaefer, S.: Bijective parameterization with free boundaries. ACM Trans. Graph. 34(4), 70:1–70:9 (2015)
Sørensen, A., Peters, D., Simonsen, C., Pedersen, M., Stausbøl-Grøn, B., Christiansen, O.B., et al.: Changes in human fetal oxygenation during maternal hyperoxia as estimated by BOLD MRI. Prenat. Diagn. 33, 141–145 (2013)
Timsari, B., Leahy, R.M.: Optimization method for creating semi-isometric flat maps of the cerebral cortex. In: Proceedings of SPIE, Medical Imaging, pp. 698–709 (2000)
Tosun, D., Prince, J.L.: Hemispherical map for the human brain cortex. In: Proceeding of the SPIE, Medical Imaging, pp. 290–301 (2001)
Acknowledgments
This work was supported in part by NIH NIBIB NAC P41EB015902, NIH NICHD U01HD087211, NSF IIS-1838071, Air Force FA9550-19-1-0319, Wistron, SIP, AWS, NSF Graduate Research Fellowship, and NSERC Post Graduate Scholarship.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Abulnaga, S.M., Abaci Turk, E., Bessmeltsev, M., Grant, P.E., Solomon, J., Golland, P. (2019). Placental Flattening via Volumetric Parameterization. In: Shen, D., et al. Medical Image Computing and Computer Assisted Intervention – MICCAI 2019. MICCAI 2019. Lecture Notes in Computer Science(), vol 11767. Springer, Cham. https://doi.org/10.1007/978-3-030-32251-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-030-32251-9_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-32250-2
Online ISBN: 978-3-030-32251-9
eBook Packages: Computer ScienceComputer Science (R0)
-
Published in cooperation with
http://miccai.org/