Abstract
We present a method for surface recovery in partial surface scans based on a statistical model. The framework is based on multivariate point prediction, where the distribution of the points are learned from an annotated data set. The training set consist of surfaces with dense correspondence that are Procrustes aligned. The average shape and point covariances can be estimated from this set. It is shown how missing data in a new given shape can be predicted using the learned statistics. The method is evaluated on a data set of 29 scans of ear canal impressions. By using a leave-one-out approach we reconstruct every scan and compute the point-wise prediction error. The evaluation is done for every point on the surface and for varying hole sizes. Compared to state-of-the art surface reconstruction algorithm, the presented methods gives very good prediction results.
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References
Bloomenthal, J.: An implicit surface polygonizer. In: Graphics Gems IV, pp. 324–349 (1994)
Botsch, M., Kobbelt, L.: A remeshing approach to multiresolution modeling. In: Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 185–192 (2004)
Caselles, V., Haro, G., Sapiro, G., Verdera, J.: On geometric variational models for inpainting surface holes. Computer Vision and Image Understanding 111(3), 351–373 (2008)
Clarenz, U., Diewald, U., Dziuk, G., Rumpf, M., Rusu, R.: A finite element method for surface restoration with smooth boundary conditions. Computer Aided Geometric Design 21(5), 427–446 (2004)
Cootes, T., Taylor, C., Cooper, D., Graham, J., et al.: Active shape models-their training and application. Computer Vision and Image Understanding 61(1), 38–59 (1995)
Darkner, S., Larsen, R., Paulsen, R.R.: Analysis of Deformation of the Human Ear and Canal Caused by Mandibular Movement. In: Ayache, N., Ourselin, S., Maeder, A. (eds.) MICCAI 2007, Part II. LNCS, vol. 4792, pp. 801–808. Springer, Heidelberg (2007)
Gower, J.C.: Generalized procrustes analysis. Psychometrika 40(1), 33–51 (1975)
Hammond, P., Hutton, T., Allanson, J., Campbell, L., Hennekam, R., Holden, S., Patton, M., Shaw, A., Temple, I., Trotter, M., et al.: 3d analysis of facial morphology. American Journal of Medical Genetics Part A 126(4), 339–348 (2004)
Kaick, O., Zhang, H., Hamarneh, G., Cohen-Or, D.: A survey on shape correspondence. In: Computer Graphics Forum, vol. 20, pp. 1–23 (2010)
Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: Proceedings of the Fourth Eurographics Symposium on Geometry Processing. pp. 61–70. Eurographics Association (2006)
Kolluri, R., Shewchuk, J., O’Brien, J.: Spectral surface reconstruction from noisy point clouds. In: Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 11–21. ACM (2004)
Lanche, S., Darvann, T.A., Ólafsdóttir, H., Hermann, N.V., Van Pelt, A.E., Govier, D., Tenenbaum, M.J., Naidoo, S., Larsen, P., Kreiborg, S., Larsen, R., Kane, A.A.: A Statistical Model of Head Asymmetry in Infants with Deformational Plagiocephaly. In: Ersbøll, B.K., Pedersen, K.S. (eds.) SCIA 2007. LNCS, vol. 4522, pp. 898–907. Springer, Heidelberg (2007)
Paulsen, R.R., Hilger, K.B.: Shape Modelling Using Markov Random Field Restoration of Point Correspondences. In: Taylor, C., Noble, J.A. (eds.) IPMI 2003. LNCS, vol. 2732, pp. 1–12. Springer, Heidelberg (2003)
Paulsen, R.R., Larsen, R., Nielsen, C., Laugesen, S., Ersbøll, B.: Building and Testing a Statistical Shape Model of the Human Ear Canal. In: Dohi, T., Kikinis, R. (eds.) MICCAI 2002, Part II. LNCS, vol. 2489, pp. 373–380. Springer, Heidelberg (2002)
Paulsen, R.R.: Statistical shape analysis of the human ear canal with application to in-the-ear hearing aid design. IMM, Informatik og Matematisk Modellering, Danmarks Tekniske Universitet (2004)
Paulsen, R.R., Bærentzen, J., Larsen, R.: Markov random field surface reconstruction. IEEE Transactions on Visualization and Computer Graphics 16(4), 636–646 (2010)
Pirzanski, C.: Despite new digital technologies, shell modelers shoot in the dark. The Hearing Journal 59(10), 28 (2006)
Pirzanski, C., Berge, B.: Earmold impressions: Does it matter how they are taken. Hear. Rev. 10(4), 18–20 (2003)
Rusinkiewicz, S., Levoy, M.: Efficient variants of the ICP algorithm. In: 3dim, p. 145. IEEE Computer Society (2001)
Verdera, J., Caselles, V., Bertalmio, M., Sapiro, G.: Inpainting surface holes. In: Proceedings. 2003 International Conference on Image Processing, ICIP 2003, vol. 2 (2003)
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Jensen, R.R., Olesen, O.V., Paulsen, R.R., van der Poel, M., Larsen, R. (2012). Statistical Surface Recovery: A Study on Ear Canals. In: Levine, J.A., Paulsen, R.R., Zhang, Y. (eds) Mesh Processing in Medical Image Analysis 2012. MeshMed 2012. Lecture Notes in Computer Science, vol 7599. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33463-4_6
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DOI: https://doi.org/10.1007/978-3-642-33463-4_6
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