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Medical Imaging: Registration of 3D Objects and Surfaces
May/June 1990 (vol. 10 no. 3)
pp. 52-62

An approach to the problem of comparative analysis of objects and their surfaces that arises in medical imaging is presented and illustrated with an application to postsurgical bone-graft separation. A common requirement in medical imaging applications is the registration of multiple representations of the object prior to mensuration. The modeling of the registration process and the registration system are described. The measurement of change in volume of bone grafts implanted inside the human body in a corrective surgical procedure is discussed, and the results are evaluated.

1. J.K. Udupa, "3D Imaging in Medicine,"Proc. NCGA, Vol. II, 1987, NCGA, Fairfax, Va., pp. 73-104.
2. J.C. Mazziotta and K.H. Huang, "THREAD (Three-Dimensional Reconstruction and Display) with Biomedical Applications in Neuron Ultrastructure and Computerized Tomography,"Proceedings American Federation of Information Processing Societies, Vol. 45, 1976, pp. 241-250.
3. H. Fuchs. Z. M. Kedem, and S. P. Uselton, "Optimal surface reconstruction from planar contours,"Commun. ACM, vol. 20, Oct. 1977.
4. P.B. Heffernan and R.A. Robb, "A New Method for Shaded Surface Display of Biological and Medical Images,"IEEE Trans. Medical Imaging, Vol. MI-4, No. 1, March 1985, pp. 26-38.
5. G.T. Herman and H.K. Liu, "Display of 3D Information in Computed Tomography," J. Computer Assisted Tomography, Vol. 1, No. 1, 1977, pp. 155-160.
6. G.T. Herman, and H.K. Liu, "Three-dimensional Display of Human Organs from Computed Tomograms,"Computer Graphics and Image Processing, Vol. 9, No. 1, Jan. 1979, pp. 1-21.
7. L.T. Cook et al, "A 3D Display System for Diagnostic Imaging Applications,"CG&A, Vol. 3. No. 8, Aug. 1983, pp. 13-19.
8. P. Dev et al., "3D Graphics for Interactive Surgical Simulation and Implant Design,"Proc. SPIE, SPIE, Bellingham, Wash., 1984, pp. 52-57.
9. K.H. Hoehne and R. Bernstein, "Shading 3D-Images from CT Using Gray-Level Gradients,"IEEE Trans. Medical Imaging, Vol. MI-5, No. 1, March 1986, pp. 45-47.
10. K.D. Toennies, "Surface Triangulation by Linear Interpolation in Intersecting Planes,"Proc. SPIE, SPIE, Bellingham, Wash., 1990, to appear.
11. L.D. Harris et al., "Non-Invasive Numerical Dissection and Display of Anatomic Structure Using Computerized X-Ray Tomography,"Proc. SPIE, SPIE, Bellingham, Wash., 1978, pp. 10-18.
12. D. Meagher, "Geometric Modeling Using Octree Encoding,"Computer Graphics and Image Processing, Vol. 19, No. 2, Feb. 1982, pp. 129-147.
13. E.J. Farrell, W.C. Yang, and R.A. Zapulla, "Animated 3D CT Imaging,"CG&A, Vol. 5, No.12, Dec. 1985, pp. 26-32.
14. G. Frieder, D. Gordon, and R.A. Reynolds, "Back-to-Front Display of Voxel-Based Objects,"CG&A, Vol. 5, No. 1, Jan. 1985, pp. 52-60.
15. R.A. Drebin, L. Carpenter, and P. Hanrahan, "Volume Rendering,"Computer Graphics(Proc. Siggraph 88), Vol. 22, No. 4. Aug. 1988, pp. 65-74.
16. M. Levoy, "Display of Surfaces from Volume Data,"CG&A, Vol. 8, No 3, May 1988, pp. 29-37.
17. C. Cutting et al., "Computer-Aided Planning and Evaluation of Facial and Orthognathic Surgery,"Computers in Plastic Surgery, Vol. 13, 1986, pp. 449-462.
18. L.J. Brewster, S.S. Trivedi, H.K. Tuy, and J.K. Udupa, "Interactive Surgical Planning,"CG&A, Vol. 4, No. 3, March 1984, pp. 31-40.
19. A. Appicella, J.H. Nael, and R. Durara,Proc. Annual Int'l Conf. IEEE Engineering in Medicine and Biology Society, 1988, CS Press, Los Alamitos, Calif., pp. 414-415.
20. R. Bajcsy, R. Lieberson, and M. Reivich,"A Computerized System for Elastic Matching of Deformed Radiographic Images to Idealized Atlas Images,"J. Computer Assisted Tomography, Vol. 7, 1983, pp. 618-625.
21. J.A. Llewellyn et al., "Quantitative Carpal Geometry from CT Scans Without Implanted Markers,"Proc. NCGA, Vol. III, 1987,NCGA, Fairfax, Va., pp. 99-103.
22. C.A. Pelizzari et al., "Accurate 3D Registration of CT, PET, and MR Images of the Brain,"J. Computer Assisted Tomography, Vol. 13, 1989, pp. 20-26.
23. K. S. Arun, T. S. Huang, and S. D. Blostein, "Least-squares fitting of two 3-D point sets,"IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-9, no. 5, pp. 698-700, 1987.
24. E. De Castro and C. Morandi, "Registration of translated and rotated images using finite Fourier transforms,"IEEE Trans. Pattern Anal. Machine Intell., vol. 9, no. 5, pp. 700-703, 1987.
25. A. Venot and V. Leclerc, "Automatic Correction of Patient Motion and Gray Level Prior to Subtraction in Digitized Angiography,"IEEE Trans. Medical Imaging, Vol. 3, No. 4, Dec. 1984, pp. 179-186.
26. G.T. Herman,Image Reconstruction from Projections: The Fundamentals of Computerized Tomography, Academic Press, New York, 1980.
27. G.T. Herman, "Three-Dimensional Computer Graphics Display in Medicine: the MIPG Perspective,"Pictorial Information Systems in Medicine, K.H. Hoehne, ed., Springer Verlag, Berlin, West Germany, 1986, pp. 181-210.
28. D. Gordon and J.K. Udupa, "Fast Surface Tracking in 3D Binary Images,"Computer Vision, Graphics, and Image Processing, Vol. 45, 1989, pp. 196-214.
29. S.P. Raya and J.K. Udupa, "A Low-Cost PC-Based Image Workstation for Dynamic Interactive Display of 3D Anatomy,"Proc. SPIE, SPIE, Bellingham, Wash., 1989, pp. 346-355.
30. K.S. Chuang, J.K. Udupa, and S.P. Raya, "High-Quality Rendition of Discrete Three-Dimensional Surfaces," Tech. Rpt. MIPG130, Medical Image Processing Group, Dept. of Radiology, Univ. of Pennsylvania, Philadelphia, 1988.
31. W.A. Barrett, S.P. Raya, and J.K. Udupa, "A Low-Cost PC-Based Image Workstation for Dynamic Interactive Display of Three-Dimensional Anatomy,"Proc. SPIE, SPIE, Bellingham, Wash., 1989, pp. 346-355.
32. S.S. Trivedi et al., "Measurements on 3-D Displays in the Clinical Environment,"Proc. NCGA, Vol. III, 1986, NCGA, Fairfax, Va., pp. 93-100.
33. E.L. Hall,Computer Image Processing and Recognition, Academic Press, New York, 1979.
34. G. Golub, M. Heath, and G. Wahba, "Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter,"Technometrics, Vol. 21, No. 2, 1979, pp. 215-223.

Klaus D. Toennies, Jayaram K. Udupa, Gabor T. Herman, Isaac L. Wornom III, Steven R. Buchman, "Medical Imaging: Registration of 3D Objects and Surfaces," IEEE Computer Graphics and Applications, vol. 10, no. 3, pp. 52-62, May-June 1990, doi:10.1109/38.55153
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