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2017 | OriginalPaper | Chapter

Orthotropic Thin Shell Elasticity Estimation for Surface Registration

Authors : Qingyu Zhao, Stephen Pizer, Ron Alterovitz, Marc Niethammer, Julian Rosenman

Published in: Information Processing in Medical Imaging

Publisher: Springer International Publishing

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Abstract

Elastic physical models have been widely used to regularize deformations in different medical object registration tasks. Traditional approaches usually assume uniform isotropic tissue elasticity (a constant regularization weight) across the whole domain, which contradicts human tissue elasticity being not only inhomogeneous but also anisotropic. We focus on producing more physically realistic deformations for the task of surface registration. We model the surface as an orthotropic elastic thin shell, and we propose a novel statistical framework to estimate inhomogeneous and anisotropic shell elasticity parameters only from a group of known surface deformations. With this framework we show that a joint estimation of within-patient surface deformations and the shell elasticity parameters can improve groupwise registration accuracy. The method is tested in the context of endoscopic reconstruction-surface registration.

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Literature
1.
go back to reference Bajcsy, R., Kovačič, S.: Multiresolution elastic matching. Comput. Vis. Graph. Image Process. 46(1), 1–21 (1989)CrossRef Bajcsy, R., Kovačič, S.: Multiresolution elastic matching. Comput. Vis. Graph. Image Process. 46(1), 1–21 (1989)CrossRef
2.
go back to reference Christensen, G., Rabbitt, R., Miller, M.: Deformable templates using large deformation kinematics. Comput. Vis. Graph. Image Process. 5(10), 1435–1447 (1996) Christensen, G., Rabbitt, R., Miller, M.: Deformable templates using large deformation kinematics. Comput. Vis. Graph. Image Process. 5(10), 1435–1447 (1996)
3.
go back to reference Thirion, J.: Image matching as a diffusion process: an analogy with Maxwells demons. Med. Image Anal. 2(3), 243–260 (1998)CrossRef Thirion, J.: Image matching as a diffusion process: an analogy with Maxwells demons. Med. Image Anal. 2(3), 243–260 (1998)CrossRef
4.
go back to reference Beg, M., Miller, M., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis. 61(2), 139–157 (2005)CrossRef Beg, M., Miller, M., Trouvé, A., Younes, L.: Computing large deformation metric mappings via geodesic flows of diffeomorphisms. Int. J. Comput. Vis. 61(2), 139–157 (2005)CrossRef
5.
go back to reference Miga, M.: A new approach to elastography using mutual information and finite elements. Phys. Med. Biol. 48(4), 467–480 (2003)CrossRef Miga, M.: A new approach to elastography using mutual information and finite elements. Phys. Med. Biol. 48(4), 467–480 (2003)CrossRef
6.
go back to reference Kroon, M., Holzapfel, G.A.: Estimation of the distributions of anisotropic, elastic properties and wall stresses of saccular cerebral aneurysms by inverse analysis. Proc. R. Soc. Lond. A: Math. Phys. Eng. Sci. 464(2092), 807–825 (2008)MathSciNetCrossRefMATH Kroon, M., Holzapfel, G.A.: Estimation of the distributions of anisotropic, elastic properties and wall stresses of saccular cerebral aneurysms by inverse analysis. Proc. R. Soc. Lond. A: Math. Phys. Eng. Sci. 464(2092), 807–825 (2008)MathSciNetCrossRefMATH
7.
go back to reference Schneider, R., Faust, G., Hindenlang, U., Helwig, P.: Inhomogeneous, orthotropic material model for the cortical structure of long bones modeled on the basis of clinical CT or density data. Comput. Methods Appl. Mech. Eng. 198(27–29), 2167–2174 (2009)CrossRefMATH Schneider, R., Faust, G., Hindenlang, U., Helwig, P.: Inhomogeneous, orthotropic material model for the cortical structure of long bones modeled on the basis of clinical CT or density data. Comput. Methods Appl. Mech. Eng. 198(27–29), 2167–2174 (2009)CrossRefMATH
8.
go back to reference Yang, S., Jojic, V., Lian, J., Chen, R., Zhu, H., Lin, M.C.: Classification of prostate cancer grades and t-stages based on tissue elasticity using medical image analysis. In: Ourselin, S., Joskowicz, L., Sabuncu, M.R., Unal, G., Wells, W. (eds.) MICCAI 2016. LNCS, vol. 9900, pp. 627–635. Springer, Cham (2016). doi:10.1007/978-3-319-46720-7_73 CrossRef Yang, S., Jojic, V., Lian, J., Chen, R., Zhu, H., Lin, M.C.: Classification of prostate cancer grades and t-stages based on tissue elasticity using medical image analysis. In: Ourselin, S., Joskowicz, L., Sabuncu, M.R., Unal, G., Wells, W. (eds.) MICCAI 2016. LNCS, vol. 9900, pp. 627–635. Springer, Cham (2016). doi:10.​1007/​978-3-319-46720-7_​73 CrossRef
9.
go back to reference Freiman, M., Voss, S.D., Warfield, S.K.: Demons registration with local affine adaptive regularization: application to registration of abdominal structures. In: IEEE International Symposium on Biomedical Imaging, pp. 1219–1222 (2011) Freiman, M., Voss, S.D., Warfield, S.K.: Demons registration with local affine adaptive regularization: application to registration of abdominal structures. In: IEEE International Symposium on Biomedical Imaging, pp. 1219–1222 (2011)
10.
go back to reference Gerig, T., Shahim, K., Reyes, M., Vetter, T., Lüthi, M.: Spatially varying registration using gaussian processes. In: Golland, P., Hata, N., Barillot, C., Hornegger, J., Howe, R. (eds.) MICCAI 2014. LNCS, vol. 8674, pp. 413–420. Springer, Cham (2014). doi:10.1007/978-3-319-10470-6_52 Gerig, T., Shahim, K., Reyes, M., Vetter, T., Lüthi, M.: Spatially varying registration using gaussian processes. In: Golland, P., Hata, N., Barillot, C., Hornegger, J., Howe, R. (eds.) MICCAI 2014. LNCS, vol. 8674, pp. 413–420. Springer, Cham (2014). doi:10.​1007/​978-3-319-10470-6_​52
11.
go back to reference Vialard, F.-X., Risser, L.: Spatially-varying metric learning for diffeomorphic image registration: a variational framework. In: Golland, P., Hata, N., Barillot, C., Hornegger, J., Howe, R. (eds.) MICCAI 2014. LNCS, vol. 8673, pp. 227–234. Springer, Cham (2014). doi:10.1007/978-3-319-10404-1_29 Vialard, F.-X., Risser, L.: Spatially-varying metric learning for diffeomorphic image registration: a variational framework. In: Golland, P., Hata, N., Barillot, C., Hornegger, J., Howe, R. (eds.) MICCAI 2014. LNCS, vol. 8673, pp. 227–234. Springer, Cham (2014). doi:10.​1007/​978-3-319-10404-1_​29
12.
go back to reference Davatzikos, C.: Spatial transformation and registration of brain images using elastically deformable models. Comput. Methods Appl. Mech. Eng. 66(2), 207–222 (1997) Davatzikos, C.: Spatial transformation and registration of brain images using elastically deformable models. Comput. Methods Appl. Mech. Eng. 66(2), 207–222 (1997)
13.
go back to reference Alterovitz, R., Goldberg, K., Pouliot, J., Hsu, I.C.J., Kim, Y., Noworolski, S.M., Kurhanewicz, J.: Registration of MR prostate images with biomechanical modeling and nonlinear parameter estimation. Med. Phys. 33(2), 446–454 (2006)CrossRef Alterovitz, R., Goldberg, K., Pouliot, J., Hsu, I.C.J., Kim, Y., Noworolski, S.M., Kurhanewicz, J.: Registration of MR prostate images with biomechanical modeling and nonlinear parameter estimation. Med. Phys. 33(2), 446–454 (2006)CrossRef
14.
go back to reference Misra, S., Ramesh, R., Okamura, A.: Modelling of non-linear elastic tissues for surgical simulation. Comput. Methods Appl. Mech. Eng. 13(6), 811–818 (2010) Misra, S., Ramesh, R., Okamura, A.: Modelling of non-linear elastic tissues for surgical simulation. Comput. Methods Appl. Mech. Eng. 13(6), 811–818 (2010)
15.
go back to reference Green, M., Geng, G., Qin, E., Sinkus, R., Gandevia, S., Bilston, L.: Measuring anisotropic muscle stiffness properties using elastography. NMR Biomed. 26(11), 1387–1394 (2013)CrossRef Green, M., Geng, G., Qin, E., Sinkus, R., Gandevia, S., Bilston, L.: Measuring anisotropic muscle stiffness properties using elastography. NMR Biomed. 26(11), 1387–1394 (2013)CrossRef
16.
go back to reference Risholm, P., Ross, J., Washko, G.R., Wells, W.M.: Probabilistic elastography: estimating lung elasticity. In: Székely, G., Hahn, H.K. (eds.) IPMI 2011. LNCS, vol. 6801, pp. 699–710. Springer, Heidelberg (2011). doi:10.1007/978-3-642-22092-0_57 CrossRef Risholm, P., Ross, J., Washko, G.R., Wells, W.M.: Probabilistic elastography: estimating lung elasticity. In: Székely, G., Hahn, H.K. (eds.) IPMI 2011. LNCS, vol. 6801, pp. 699–710. Springer, Heidelberg (2011). doi:10.​1007/​978-3-642-22092-0_​57 CrossRef
17.
go back to reference Bauer, M., Bruveris, M., Michor, P.W.: Overview of the geometries of shape spaces and diffeomorphism groups. J. Math. Imaging Vis. 50(1), 60–97 (2014)MathSciNetCrossRefMATH Bauer, M., Bruveris, M., Michor, P.W.: Overview of the geometries of shape spaces and diffeomorphism groups. J. Math. Imaging Vis. 50(1), 60–97 (2014)MathSciNetCrossRefMATH
18.
go back to reference Schulz, J., Pizer, S.M., Marron, J., Godtliebsen, F.: Nonlinear hypothesis testing of geometrical object properties of shapes applied to Hippocampi. J. Math. Imaging Vis. 54(1), 15–34 (2015)CrossRefMATH Schulz, J., Pizer, S.M., Marron, J., Godtliebsen, F.: Nonlinear hypothesis testing of geometrical object properties of shapes applied to Hippocampi. J. Math. Imaging Vis. 54(1), 15–34 (2015)CrossRefMATH
19.
go back to reference Ventsel, E., Krauthammer, T.: Thin Plates and Shells: Theory: Analysis, and Applications. CRC Press, Boca Raton (2001)CrossRef Ventsel, E., Krauthammer, T.: Thin Plates and Shells: Theory: Analysis, and Applications. CRC Press, Boca Raton (2001)CrossRef
20.
go back to reference Gingold, Y., Secord, A., Han, J.Y., Grinspun, E., Zorin, D.: A discrete modelfor inelastic deformation of thin shells. Technical report, Courant Institute of Mathematical Sciences (2004) Gingold, Y., Secord, A., Han, J.Y., Grinspun, E., Zorin, D.: A discrete modelfor inelastic deformation of thin shells. Technical report, Courant Institute of Mathematical Sciences (2004)
21.
go back to reference Zhao, Q., Price, J.T., Pizer, S., Niethammer, M., Alterovitz, R., Rosenman, J.: Surface registration in the presence of topology changes and missing patches. In: Medical Image Understanding and Analysis, pp. 8–13 (2015) Zhao, Q., Price, J.T., Pizer, S., Niethammer, M., Alterovitz, R., Rosenman, J.: Surface registration in the presence of topology changes and missing patches. In: Medical Image Understanding and Analysis, pp. 8–13 (2015)
22.
go back to reference Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Log-euclidean metrics for fast and simple calculus on diffusion tensors. Phys. Med. Biol. 56(2), 411–421 (2006) Arsigny, V., Fillard, P., Pennec, X., Ayache, N.: Log-euclidean metrics for fast and simple calculus on diffusion tensors. Phys. Med. Biol. 56(2), 411–421 (2006)
23.
go back to reference Crane, K., Desbrun, M., Schröder, P.: Trivial connections on discrete surfaces. In: Symposium on Geometry Processing, vol. 29 (2010) Crane, K., Desbrun, M., Schröder, P.: Trivial connections on discrete surfaces. In: Symposium on Geometry Processing, vol. 29 (2010)
24.
go back to reference Zhao, Q., Price, T., Pizer, S., Niethammer, M., Alterovitz, R., Rosenman, J.: The endoscopogram: a 3D model reconstructed from endoscopic video frames. In: Ourselin, S., Joskowicz, L., Sabuncu, M.R., Unal, G., Wells, W. (eds.) MICCAI 2016. LNCS, vol. 9900, pp. 439–447. Springer, Cham (2016). doi:10.1007/978-3-319-46720-7_51 CrossRef Zhao, Q., Price, T., Pizer, S., Niethammer, M., Alterovitz, R., Rosenman, J.: The endoscopogram: a 3D model reconstructed from endoscopic video frames. In: Ourselin, S., Joskowicz, L., Sabuncu, M.R., Unal, G., Wells, W. (eds.) MICCAI 2016. LNCS, vol. 9900, pp. 439–447. Springer, Cham (2016). doi:10.​1007/​978-3-319-46720-7_​51 CrossRef
25.
go back to reference Price, T., Zhao, Q., Rosenman, J., Pizer, S., Frahm, J.M.: Shape from motion and shading in uncontrolled environments. Technical report, Department of Computer Science, University of North Carolina at Chapel Hill (2016) Price, T., Zhao, Q., Rosenman, J., Pizer, S., Frahm, J.M.: Shape from motion and shading in uncontrolled environments. Technical report, Department of Computer Science, University of North Carolina at Chapel Hill (2016)
Metadata
Title
Orthotropic Thin Shell Elasticity Estimation for Surface Registration
Authors
Qingyu Zhao
Stephen Pizer
Ron Alterovitz
Marc Niethammer
Julian Rosenman
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-59050-9_39

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