A procedure to average 3D anatomical structures

Medical Image Analysis

Volumn 4, Issue 4, 2000, Pages 317-334

  Subramanyan, Krishna ^a   Dean, David ^b  

^a VAC Division   (United States)

^b UNIVERSITY HOSPITALS OF CLEVELAND   (United States)

Author keywords

B Spline; CT; Deformable model; Deformable template; Face; Homology; Ridge curve; Skull

Indexed keywords

ALGORITHM; ARTICLE; FACE; HISTOLOGY; HUMAN; IMAGE PROCESSING; SKULL; THREE DIMENSIONAL IMAGING;

ALGORITHMS; FACE; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; SKULL;

EID: 0034567153     PISSN: 13618415     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1361-8415(00)00031-1     Document Type: Article

References (39)

1. Andresen, P.R., Nielsen, M., Kreiborg, S., 1998. 4D shape-preserving modeling of bone growth. In: Wells, W.W., Colchester, A. (Eds.), Proc. Medical Image Computing and Computer-assisted Intervention '98. Cambridge, MA, Lecture Notes in Computer Science, 1496. Springer, Berlin, pp. 710-719.
2. Bookstein, F.L., 1989. Principal warps: thin-plate splines and the decomposition of deformations. IEEE PAMI 11, 567-584.
3. Bookstein, F.L., 1991. Morphometric Tools for Landmark Data. Cambridge University Press, Cambridge.
4. Bookstein, F.L., 1997. Shape and the information in medical images: a decade of the morphometric synthesis. Comput. Vision Image Understanding 66, 97-118.
5. Bookstein, F.L., Cutting, C.B., 1988. A proposal for the apprehension of curving craniofacial form in three dimensions. In: Craniofacial Morphogenesis and Dysmorphogenesis. University of Michigan Press, Ann Arbor, MI, pp. 127-140.
6. Buckley, P.F., Dean, D., Bookstein, F.L., et al., 1999. Three dimensional MR-based morphometrics and ventricular dysmorphology in schizophrenia. Biol. Psych. 45, 62-67.
7. Coons, S., 1974. Surface patches and B-spline curves. In: Barnhill, R., Riesenfeld, R. (Eds.), Computer Aided Geometric Design. Academic Press, New York, pp. 1-16.
8. Cutting, C.B., Bookstein, F.L., Haddad, B., Dean, D., Kim, D., 1993. A spline-based approach for averaging three dimensional curves and surfaces. In: Loew, M.H. (Ed.), Proc. SPIE Med. Imaging '93, 2035-03. SPIE, Bellingham, WA, pp. 29-44.
9. Cutting, C.B., Dean, D., Bookstein, F.L., Haddad, B., Khorramabadi, D., Zonneveld, F., McCarthy, J.G., 1995. A three dimensional smooth surface analysis of untreated Crouzon's syndrome in the adult. J. Craniofac. Surg. 6, 444-452.
10. Dean, D., 1993. The middle pleistocene Homo erectus/Homo sapiens transition: New evidence from space curve statistics. Ph.D Thesis, City University of New York.
11. Dean, D., Buckley, P., Bookstein F.L Kamath, J., Kwon, D., Friedman, L., Lys, C., 1996. Three dimensional MR-based morphometric comparison of schizophrenic and normal cerebral ventricles. In: Höhne, K., Kikinis, R.H. (Eds.), Proc. Visualization in Biomed. Computing '96, Lecture Notes in Computer Science. 1131. Springer, Berlin, pp. 363-372.
12. Dean, D., Broadbent, Jr. B.H., Valiathan, M., Hans, M., Luce, E., Goldberg, J., 1997. 3D soft tissue face Bolton standards. In: Proc. Conf. Computer Integrated Surg., International Society for Computer Assisted Surgery. Wiley, New York.
13. Dean, D., Bookstein, F.L., Koneru, S., Lee, J.-H., Kamath, J., Cutting, C.B., Hans, M.G., Goldberg, J., 1998. Average African-American 3D-CT skull images: The potential clinical importance of ethnicity and sex. J. Craniofac. Surg. 9, 348-358.
14. Dean, D., Topham, N.S., Rimnac, C. et al., 1999. Osseointegration of preformed PMMA craniofacial prostheses coated with bone marrow impregnated poly (DL-Lactic-co-Glycolic Acid) (PLGA) foam. Plast. Reconstruct. Surg. 104, 705-712.
15. Dean, D., Hans, M.G., Bookstein, F.L., Subramanyan, K., 2000. Three dimensional Bolton-Brush growth study landmark data: Ontogeny and sexual dimorphism of the Bolton Standards cohort. Cleft Pal. Craniofac. J. 37, 145-156.
16. Eufinger, H., Wehmoller, M., Machtens, E., Heuser, L., Harders, A., Kruse, D., 1995. Reconstruction of craniofacial bone defects with individual alloplastic implants based on CAD/CAM-manipulated CT-data. J. Cranio Maxillo-facial Surg. 23, 175-181.
17. Fleute, M., Lavalle, S., 1998. Building a complete surface from sparse data using statistical shape models: Application to computer assisted knee surgery. In: Wells, W.W., Colchester, A. (Eds.), Proc. Med. Image Computing and Computer-assisted Intervention '98. Cambridge, MA, Lecture Notes in Computer Science, 1496. Springer, Berlin, pp. 879-887.
18. Goodall, C.R., 1991. Procrustes methods in the statistical analysis of shape. J. Roy. Statist. Soc., Series B 53, 285-339.
19. Gower, J.C., 1975. Generalized Procrustes analysis. Psychometrika 40, 33-51.
20. Kalvin, A.D., Cutting, C.B., Haddad, B., Noz, M.E., 1991. Constructing topologically connected surfaces for the comprehensive analysis of 3-D medical structure. In: Loew, M.H. (Ed.), Proc. SPIE Medical Imaging '91, 1445. SPIE, Bellingham, WA, pp. 247-258.
21. Kent, J.K., Mardia, K.V., West, J.M., 1996. Ridge curves and shape analysis. In: Fisher, R.B., Trucco, E. (Eds.), Proc. British Machine Vision Conference. BMVA Press, London, pp. 43-52.
22. Koenderink, J.J., 1990. Solid Shape. MIT Press, Cambridge.
23. Lorenz, C., Krahnstover, N., 2000. Generation of point-based (3D) statistical shape models for anatomical objects. CVIU 77, 175-191.
24. Macareg, O.A., 1999. Three dimensional changes in the soft tissue face of ten Bolton study males as seen in bi-orthogonal cephalograms and 3D CT images. M.Sc. Thesis, Anatomy, Case Western Reserve University, Cleveland, OH.
25. Mitchell, J.S.B., Mount, D.M., Papadimitrious, C.H., 1987. The discrete geodesic problem. SIAM 16, 647-668.
26. Piegl, L., Tiller, W., 1997. The NURBS Book. Spinger, Berlin.
27. Porteous, I.R., 1994. Geometric Differentiation for the Intelligence of Curves and Surfaces. Cambridge University Press, Cambridge.
28. Rice, J.A., Silverman, B.W., 1991. Estimating the mean and covariance structure nonparametrically when the data are curves. J. Roy. Stat. Soc., Series B 53, 233-243.
29. Rogers, D.F., Adams, J.A., 1990. Mathematical Elements for Computer Graphics, 2nd Edition. McGraw-Hill, New York.
30. Rohlf, F.J., 1989. Rotational fit (Procrustes) methods. In: Bookstein, F., Rohlf, F.J. (Eds.), Proc. Michigan Morphometrics Workshop. Spec. Pub. 2, Univ. Michigan Mus. Zool., Ann Arbor, pp. 227-236.
31. Sneath, P.H.A., 1967. Trend-surface analysis of transformation grids. J. Zool. 151, 65-122.
32. Subramanyan, K.S., 1999. Computer assisted three dimensional surface based craniofacial pre and post operative assessment. Ph.D. Thesis, Biomedical Engineering, Case Western Reserve University, Cleveland, OH.
33. Subramanyan, K.S., Dean, D., 2000. Simulated annealing-based superimposition of deformable templates for 3D surface parameterization. IEEE TVCG, submitted.
34. Subramanyan, K.S., Dean, D., Moullas, A., 2000. Interactive 3D image segmentation and surface generation using self organizing feature maps. IEEE TMI, in revision.
35. Subsol, G., 1998. Crest lines for curve based warping. In: Toga, A.W. (Ed.), Brain Warping. Academic, New York, pp. 241-262.
36. Subsol, G., Thirion, J.-P., Ayache, N., 1998. A scheme for automatically building three-dimensional morphometric anatomical atlases: application to a skull atlas. Medical Image Analysis 2, 37-60.
37. Thirion, J.-P., Gourdon, A., 1995. Computing the differential characteristics of isointensity surfaces. Computer Vision and Understanding 61, 190-202.
38. Thirion, J.-P., Subsol, G., Dean, D., 1996. Cross-2 validation of three inter-patient matching methods. In: Höhne, K.H., Kikinis, R. (Eds.), Proc. Visualization in Biomedical Computing '96. Lecture Notes in Computing, 1131. Springer, Berlin, pp. 327-336.
39. Thompson, D.W., 1917. On Growth and Form. Cambridge University Press, Cambridge.