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Robust Ellipsoidal Model Fitting of Human Heads

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Robot Vision (RobVis 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4931))

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Abstract

We report current work on methods for robust fitting of ellipsoids to the shape of the human head in three-dimensional models built from laser scanner acquisitions. A starting ellipsoid is obtained from Principal Component Analysis from mesh vertices; those regions far from the surface of the ellipsoid are penalized (outlier rejection and/or damping). A first method consists in re-calculating iteratively the ellipsoid by PCA, adjusting scales. Another method projects the outliers into the ellipsoid. A third method uses a morphological-error approach, via the difference of the distance fields of the head and its fitting ellipsoid. The ellipsoid orientation, position and scales are then changed in search for a set of parameters minimizing the morphological error. To speedup calculations, only a few orthogonal planes are sampled and the distance field is obtained directly from the triangular mesh elements. Among the intended applications, the restoration of the skullcap is presented.

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References

  1. Ahn, J.: Fast Generation of Ellipsoids. In: Paeth, A.W. (ed.) Graphics Gems V, Systems Engineering Research Institute, KIST, South Korea, pp. 179–190. Academic Press Inc., London (1995)

    Google Scholar 

  2. Besl, P.J., Neil, D., McKay, A.: Method for Registration of 3-D Shapes. IEEE Transactions on Pattern Analysis and Machine Intelligence 14(2), 239–256 (1992)

    Article  Google Scholar 

  3. Van der Bie, G.: Anatomy - Human Morphology from a phenomenological point of view. Sample of the content: Morphological characteristics based on the skeleton. Driebergen, Netherlands, Louis Bolk Instituut, Publication GVO 03 77 (2003)

    Google Scholar 

  4. Inc. Cyberware Laboratory: 4020/rgb 3d scanner with colour digitizer (1990), http://www.cyberware.com/pressReleases/index.html

  5. Ding, C., He, X.: Principal Component Analysis and Effective K-means Clustering. University of California, Berkeley. LBNL Tech Report 52983 (2003)

    Google Scholar 

  6. Diagnostic Strategies: Calculating Similarity Between Cases, http://www.DiagnosticStrategies.com

  7. Frerichs, D., Graham, C.: VRM (1995), http://silicon-valley.siggraph.org/MeetingNotes/VRML.html

  8. Halsall, C.: Creating Real Time 3D Graphics With OpenGL (2000), http://www.oreillynet.com/pub/a/network/2000/06/23/magazine/opengl_intro.html

  9. Hantke, H.: 3D-Visualization (VRML) of Morphology and Flow in groyne fields. In: EGS XXVI General Assembly, Nice, Francia (2001)

    Google Scholar 

  10. Hill, D., Studholme, C., Hawkes, D.: Voxel Similarity Measures for Automated Image Registration. In: SPIE (Eds): Proceedings of the Third Conference Visualization in Biomedical Computing, pp. 205-213 (1994)

    Google Scholar 

  11. Hannah, P., et al.: PCA - Principal Component Analysis (2005), http://www.eng.man.ac.uk/mech/merg/Research/datafusion.org.uk/techniques/pca.html

  12. Ieronutti, L.: Employing Virtual Humans for Education and Training in X3D/VRML Worlds. In: Proceedings of LET-Web3D 1st International Workshop of Web3D Technologies in Learning, Education and Training, pp. 23–27 (2004)

    Google Scholar 

  13. Jones, M.W.: 3D Distance from a Point to a Triangle. Technical Report CSR-5-95. Department of Computer Science, University of Wales Swansea (1995)

    Google Scholar 

  14. Kilgard, M.J.: The OpenGL Utility Toolkit (GLUT) Programming Interface API Version 3 (1997), http://www.opengl.org/resources/libraries/glut/spec3/spec3.html

  15. Kreyszig, P.: Wiley & Sons (Eds): Advanced Engineering Mathematics, 1145–1150 (1999)

    Google Scholar 

  16. Maes, F., et al.: Multimodality Image Registration by Maximization of Mutual Information. IEEE Transactions on Medical Imaging 16(2), 187–198 (1997)

    Article  Google Scholar 

  17. Márquez, J., et al.: Laser-Scan Acquisition of Head Models for Dosimetry of Hand-Held Mobile Phones. In: BioElectroMagnetics Society (eds.) Proceedings 22th Annual Meeting, Technical University, Technical University, Munich, Germany (2000)

    Google Scholar 

  18. Márquez, J., et al.: Construction of Human Head Models for Anthropometry and Dosimetry Studies of Hand-Held Phones. Revista Mexicana de Ingeniería Biomedica XXI4, 120–128 (2000)

    Google Scholar 

  19. Márquez, J., Bloch, I., Schmitt, F.: Base Surface Definition for the Morphometry of the Ear in Phantoms of Human Heads. In: Proceedings 2nd IEEE International Symposium on Biomedical Imaging, Cancún, vol. 1, pp. 541–544 (2003)

    Google Scholar 

  20. Márquez, J., et al.: Shape-Based Averaging for Craniofacial Anthropometry. In: SMCC (eds.) IEEE Sixth Mexican International Conference on Computer Science ENC 2005, Puebla, pp. 314–319 (2005)

    Google Scholar 

  21. Payne, B.A., Toga, A.W.: Distance field manipulation of surface models. IEEE Computer Graphics and Applications 1, 65–71 (1992)

    Article  Google Scholar 

  22. Sánchez, H., Bribiesca, E.: Medida de similitud para objetos 2D y 3D a través de una energía de transformación óptima. Computación y Sistemas 7(1), 66–75 (2003)

    Google Scholar 

  23. Ségonne, F., et al.: A Hybrid Approach to the Skull Stripping Problem in MRI. Neuroimage 22, 1060–1075 (2004)

    Article  Google Scholar 

  24. Satherley, R., Jones, M.W.: Hybrid Distance Field Computation. In: Springer Verlag (eds.) Volume Graphics, pp. 195–209 (2001)

    Google Scholar 

  25. Sud, A., Otaduy, M.A., Manocha, D.: DiFi: Fast 3D Distance Field Computation Using Graphics Hardware. EUROGRAPHICS 4, 557–566 (2004)

    Google Scholar 

  26. Verleysen, M.: Principal Component Analysis (PCA). PhD Thesis, Universite catholique de Louvain, Microelectronics laboratory, Belgium (2001)

    Google Scholar 

  27. Wyvill, B., Wyvill, G.: Field-Functions for Implicit Surfaces. University of California, Visual Computer 5 (1989)

    Google Scholar 

  28. Waldo, R.: Simplified Mesh Models of the Human Head. Computer Engineering MSc thesis, School of Engineering, Universidad Nacional Autónoma de México (2005)

    Google Scholar 

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Gerald Sommer Reinhard Klette

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© 2008 Springer-Verlag Berlin Heidelberg

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Marquez, J., Ramirez, W., Boyer, L., Delmas, P. (2008). Robust Ellipsoidal Model Fitting of Human Heads. In: Sommer, G., Klette, R. (eds) Robot Vision. RobVis 2008. Lecture Notes in Computer Science, vol 4931. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78157-8_29

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  • DOI: https://doi.org/10.1007/978-3-540-78157-8_29

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78156-1

  • Online ISBN: 978-3-540-78157-8

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