Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 13, Issue 7, 1991, Pages 703-714

  Terzopoulos, Demetri ^a   Metaxas, Dimitri ^a  

^a UNIVERSITY OF TORONTO   (Canada)

Author keywords

3D model fitting; Computer vision; deformable models; finite element analysis; local and global deformations; object representation; physically based modeling; simulated forces; splines; superquadrics

Indexed keywords

COMPUTER SIMULATION; EQUATIONS OF MOTION; IMAGE PROCESSING - IMAGE ANALYSIS; OPTICS - MATHEMATICAL MODELS;

3D MODELS; DEFORMABLE SUPERQUADRICS; OBJECT REPRESENTATION; SOLID MODELS; SUPERQUADRICS;

COMPUTER VISION;

EID: 0026191171     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.85659     Document Type: Article

References (23)

1. A. Barr, “Superquadrics and angle-preserving transformations,” IEEE Comput. Graphics Applications, vol. 18, 21–30, 1981.
2. K.-J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis. Englewood Cliffs, NJ: Prentice-Hall, 1976.
3. I. Biederman, “Human image understanding: Recent research and theory,” Comput. Vision Graphics Image Processing, vol. 32, pp. 29–73, 1985.
4. A. Blake and A. Zisserman, Visual Reconstruction. Cambridge, MA: MIT Press, 1987.
5. R. Brooks, “Symbolic reasoning among 3D models and 2D images,” Art. Intell, vol. 17, 285–348, 1981.
6. M. Gardiner, “The superellipse: A curve between the ellipse and the rectangle,” Scientific Amer., vol. 213, pp. 222–234, 1965.
7. A.D. Gross and T. E. Boult, “Error of fit measures for recovering parametric solids,” in Proc. Sec. Int. Conf Comput. Vision, 1988, pp. 690–694.
8. A. Gupta and R. Bajcsy, “Part description and segmentation using con-tour, surface, and volumetric primitives,” in Sensing and Reconstruction of Three-Dimensional Objects and Scenes, Proc. SPIE 1260, B. Girod (Ed.), 1990, pp. 203–214.
9. B. B. Kimia, A. Tannenbaum, and S. W. Zucker, “Toward a computational theory of shape: An overview,” Tech. Rep. TR-CIM-89-13, Comput. Vision Robotics Lab., 1989.
10. D. Marr and H. K. Nishihara, “Representation and recognition of the spatial organization of three-dimensional shapes,” Proc. Roy. Soc. London B, vol. 200, 269–294, 1978.
11. A. Pentland, “Perceptual organization and the representation of natural form,” Art. Intell, vol. 28, 293–331, 1986.
12. A. Pentland, “Automatic extraction of deformable part models,” Tech. Rep. Vision-Sciences 104, MIT Media Lab., 1988.
13. A. Pentland, “Canonical fitting of deformable part models,” in Sensing and Reconstruction of Three-Dimensional Objects and Scenes, Proc. SPIE 1260, B. Girod (Ed.), 1990, pp. 216–228.
14. T. Poggio. V. Torre, and C. Koch, “Computational Vision and regularization theory,” Nature, vol. 317, 314–319, 1985.
15. M. Rioux and L. Cournoyer, “The NRCC three-dimensional image data files,” Tech. Rep. CNRC 29077, Nat. Res. Council Canada, 1988.
16. A. A. Shabana, Dynamics of Multibody Systems. New York: Wiley, 1989.
17. F. Solina and R. Bajcsy, “Recovery of parametric models from range images: The case for superquadrics with global deformations,” IEEE Trans Patt. Anal. Mach. Intell, vol. 12, pp. 131–146, 1990.
18. R. Szeliski, Bayesian Modeling of Uncertainty in Low-Level Vision. Boston: Kluwer, 1989.
19. D. Terzopoulos, “Regularization of inverse visual problems involving discontinuities,” IEEE Trans. Patt. Anal. Mach. Intell., vol. PAMI-8, pp. 413–424, 1986.
20. D. Terzopoulos, “The computation of visible-surface representations,” IEEE Trans. Patt. Anal. Mach. IntelL, vol. 10, 417–438, 1988.
21. D. Terzopoulos and A. Witkin, “Physically based models with rigid and deformable components,” IEEE Comput. Graphics Applications, vol. 8, pp. 41–51, 1988.
22. D. Terzopoulos, A. Witkin, and M. Kass, “Constraints on deformable models: Recovering 3D shape and non-rigid motion,” Art. Intell, vol. 36, pp. 91–123, 1988.
23. A. Witkin and W. Welch, “Fast animation and control of non-rigid structures,” Comput. Graphics, vol. 24, pp. 243–252, 1990.