Image Analysis and Computer Graphics > Research > Medical Image Analysis > Mandibular Metamorphosis


Mathematical Modelling of Mandibular Metamorphosis


Growth prediction of a 12 year old mandibular bone based on a 3 months CT scan. The colour coding shows the prediction error. The red area is due to a missing tooth. The Mathematical Modelling of Mandibular Metamorphosis (4M) project is aimed at establishing models of the biological growth of human mandibles (jaw bones) based on 3D CT (computed tomography) scans and clinically identified landmarks. The project is a collaboration between both national and international centres of expertise. The mathematical derived models aid in the understanding of both mandibular growth and tooth eruption, and are targeted for prediction, simulation, and analysis of biological and medical processes. The ultimate goal of the research is, through improved understanding of normal and abnormal craniofacial morphogenesis (including tooth eruption), to improve treatment diagnosis, planning, and outcome in patients with severe congenital craniofacial malformations.
  • Project staff
  • Publications, journals papers
    • K. B. Hilger, R. Larsen, M. Wrobel, Growth Modeling of Human Mandibles using Non-Euclidean Metrics, Medical Image Analysis, vol. 7, pp. 425-433, Elsevier, 2003 [full] [bibtex] [pdf]
    • R. Larsen, K. B. Hilger, Statistical 2D and 3D shape analysis using non-Euclidean metrics, Medical Image Analysis, vol. 7(4), pp. 417-423, Elsevier, 2003 [full] [bibtex] [pdf]
    • R. Larsen, Decomposition using Maximum Autocorrelation Factors, Journal of Chemometrics, vol. 16(8-10), pp. 427-435, John Wiley & Sons, 2002 [full] [bibtex] [pdf]

  • Publications, conference papers
    • K. Skoglund, R. Larsen, B. Lading, Building a 3-D Appearance Model of the Human Face, DSAGM 2003, DIKU (Datalogisk Institut), 2003 [full] [bibtex] [pdf]
    • S. Darkner, R. Larsen, Wedgelet Compression for Appearance Models, Proceedings of the 12th Danish Conference on Pattern Recognition and Image Analysis (DANKOMB, DSAGM) , August 21-21, Department of Computer Science, University of Copenhagen (DIKU), 2003 [full] [bibtex]
    • K. B. Hilger, R. R. Paulsen, R. Larsen, Markov Random Field Restoration of Point Correspondences for Active Shape Modelling, SPIE - Medical Imaging (to appear), 2004 [full] [bibtex]
    • R. R. Paulsen, K. B. Hilger, Shape Modelling Using Markov Random Field Restoration of Point Correspondences, Information Processing in Medical Imaging, 2003 [full] [bibtex] [pdf]
    • R. Larsen, K. B. Hilger, Probabilistic Generative Modelling, 13th Scandinavian Conference on Image Analysis (SCIA) , Gothenburg, Sweden, vol. 2749, pp. 861-868, Springer, 2003 [full] [bibtex] [pdf]
    • R. Larsen, K. B. Hilger, K. Skoglund, S. Darkner, R. R. Paulsen, M. B. Stegmann, B. Lading, H. Thodberg, H. Eiriksson, Some Issues of Biological Shape Modelling with Applications, 13th Scandinavian Conference on Image Analysis (SCIA), Gothenburg, Sweden, vol. 2749, pp. 509-519, Springer, 2003 [full] [bibtex] [pdf]
    • K. B. Hilger, R. Larsen, S. Kreiborg, S. Krarup, T. Darvann, J. Marsh, Active Shape Analysis of Mandibular Growth, Medical Image Computing and Computer-Assisted Intervention - MICCAI, Springer, 2003 [full] [bibtex] [pdf]
    • K. B. Hilger, M. B. Stegmann, R. Larsen, A Noise Robust Statistical Texture Model, Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002, 5th Int. Conference, Tokyo, Japan, vol. 2488(2), pp. 444-451, Springer, 2002 [full] [bibtex] [pdf]
    • K. B. Hilger, A. A. Nielsen, R. Larsen, K. Conradsen, Linear and Nonlinear Multiset Canonical Correlation Analysis (invited talk), Eleventh International Workshop on Matrices and Statistics, Informatics and Mathematical Modelling, Technical University of Denmark, DTU, 2002 [full] [bibtex] [pdf]
    • R. Larsen, H. Eiriksson, L1 Generalized Procrustes 2D Shape Alignment, Eleventh International Workshop on Matrices and Statistics, Informatics and Mathematical Modelling, Technical University of Denmark, DTU, 2002 [full] [bibtex]
    • R. Larsen, K. B. Hilger, M. C. Wrobel, Statistical 2D and 3D shape analysis using Non-Euclidean Metrics, Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002, 5th Int. Conference, Tokyo, Japan, Springer, 2002 [full] [bibtex] [pdf]
    • R. R. Paulsen, R. Larsen, S. Laugesen, C. Nielsen, B. K. Ersbøll, Building and Testing a Statistical Shape Model of the Human Ear Canal, Medical Image Computing and Computer-Assisted Intervention - MICCAI 2002, 5th Int. Conference, Tokyo, Japan,, Springer, 2002 [full] [bibtex] [pdf]
    • Wrobel M et al. Mathematical Modelling of Mandibular Metamorphosis, The Medical and Computer Graphics Visionday at DTU, IMM, 2002
    • S. Krarup, T.A. Darvann, P. Larsen, J.L. Marsh, S. Kreiborg, Three-Dimensional Analysis of Mandibular Growth and Tooth Eruption, American Dental Association, New Orleans, USA, 2002

  • Publications, miscellaneous
    • K. B. Hilger, R. Larsen, Mathematical Modelling of Mandibular Metamorphosis (4M) Status Report, Informatics and Mathematical Modelling, Technical University of Denmark, DTU, 2003 [full] [bibtex] [pdf]
    • T.A. Darvann., LM, Software for registration and analysis of 3D mandibles,3D-Laboratorium Department of Pediatric Dentistry and Clinical Genetics, School of Dentistry, University of Copenhagen, 2002

  • Talks and courses
    • R. Larsen, Analysis of Biological Appearance - medical image analysis, Statistics seminar at the Statistics Department, Stanford University, September 30th, 2003
    • K. Skoglund, Applications of Active Appearance Models in Medical Image Analysis, Danish Society for Biomedical Engineering Meeting on Biomedical Image Analysis, Århus (Skejby) University Hospital, November 26th 2003
    • Larsen R., 3D statistical shape analysis. Invited plenary talk for The 13th Scandinavian Conference on Image Analysis (SCIA), Gothenburg, Sweden, June 29 – July 2, 2003
    • K. B. Hilger, Statistical Shape Modelling and Markov Random Field Restoration (invited tutorial and exercise), Copenhagen Image and Signal Processing (CISP) Workshop, 2003 [full] [bibtex]
    • K. B. Hilger (organizer) Ph.D. course on “Statistical Learning” using T. Hastie, R. Tibshirani and J. Friedman, "The Elements of Statistical Learning", 2001, IMM spring 2002
    • R. Larsen, Statistical Models of Shape (tutorial), Copenhagen Image and Signal Processing (CISP) Workshop, Bornholm, April 9th, 2003
    • K. B. Hilger, Mathematical Modelling of Mandibular Metamorphosis from 3D CT (invited talk), Danish Society for Biomedical Engineering Meeting on Biomedical Image Analysis, Technical University of Denmark, DTU, 2003 [full] [bibtex] [pdf]
    • K. B. Hilger, Issues in Biological Shape Modelling, Seminar at the Department of Statistics, Oxford University, 2003 [full] [bibtex]
    • Hilger, K. B. et al, Linear and Nonlinear Multiset Canonical Correlation Analysis, Invited talk, the Eleventh International Workshop on Matrices and Statistics, 2002
    • Larsen R., Invited talk `Den Store Kemometridag’, Kolding, October 22, 2002. Title of Talk: Multivariate analysis of images with applications to biomedicine, biometrics, and chemometrics .
    • R. Larsen, Deformable models with industrial and biomedical applications (invited talk), Swedish Society for Automated Image Analysis, SSAB'02, Symposium on Image Analysis, Lund, March 7-8, 2002.

  • Research stays
    • K. B. Hilger, Statistics Department, Oxford University, summer term 2003. The contact person is Brian Ripley, Professor of Applied Statistics at the Department of Statistics, University of Oxford and a member of St. Peter's College
    • R. Larsen, Statistics Department, Stanford University august 2003- june 2004. The contact person is Trevor Hastie, Professor of Applied Statistics at the Department of Statistics and the Division of Biostatistics of the Health, Research and Policy Department in the Stanford School of Medicine, Stanford University

  • Conferences and workshops
    • 9th Interntaional conference on Medical Image Computing and Computer assisted Intervention (MICCAI), Mads Nielsen and Rasmus Larsen, Copenhagen, October, 2006
    • 2nd International workshop on Generative Model Based Vision, Arthur Pece, R. Larsen, and A. Yuille (org.) to be hold in conjunction with CVPR 2004, Copenhagen, June, 2004
    • 5th Annual Image and computer grahics workshop, IMM, DTU, september 21st, 2003. Karl Skoglund (chairman)
    • DTU Medical Visionday June 11th, 2003, R. Larsen (chairman)
    • DTU Medical Visionday June 4th, 2002, R. Larsen (chairman)
    • 1st International workshop on Generative Model Based Vision, Arthur Pece, R. Larsen, and Y.N. Wu (org.) held in conjunction with ECCV 2002, Copenhagen, June 2nd, 2002

Contact: Rasmus Larsen, Klaus Baggesen Hilger