Curve and surface duals and the recognition of curved 3D objects from their silhouettes

International Journal of Computer Vision

Volumn 58, Issue 1, 2004, Pages 73-86

  Sethi, Amit ^a   Renaudie, David ^a,b   Kriegman, David ^a,c   Ponce, Jean ^a  

^a University of Illinois at Urbana Champaign   (United States)

^b Ecl Natl Sup Info/MA Grenoble ^*  (France)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Duals; Invariants; Pedal curves; Three dimensional object recognition

Indexed keywords

DUALS; INVARIANTS; PEDAL CURVES; THREE-DIMENSIONAL OBJECT RECOGNITION;

COMPUTER AIDED DESIGN; COMPUTER SIMULATION; OBJECT RECOGNITION; PHOTOGRAPHY; PROBLEM SOLVING; SAMPLING;

IMAGE ANALYSIS;

EID: 3543103114     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:VISI.0000016148.08046.fc     Document Type: Article

References (30)

1. Arbogast, E. and Mohr, R. 1991. 3D structure inference from image sequences: Journal of Pattern Recognition and Artificial Intelligence, 5(5):749.
2. Boyer, E. and Berger, M. 1997. 3D surface reconstruction using occluding contours. Int. J. Computer Vision, 22(3):219-233.
3. Bruce, J. and Giblin, P. 1992. Curves and Singularities. Cambridge University Press.
4. Cipolla, R., Aström, K., and Giblin, P. 1995. Motion from the frontier of curved surfaces. In Int. Conf. on Computer Vision, pp. 269-275.
5. Cipolla, R. and Blake, A. 1992. Surface shape from the deformation of the apparent contour. Int. J. Computer Vision, 9(2):83-112.
6. Cipolla, R. and Giblin, P. 2000. Visual Motion of Curves and Surfaces. Cambridge University Press: Cambridge.
7. Forsyth, D. and Ponce, J. 2002. Computer Vision: A Modern Approach. Prentice Hall.
8. Giblin, P. and Weiss, R. 1995. Epipolar curves on surfaces. Image and Vision Computing, 13(1):33-44.
9. Glachet, R., Dhome, M., and Lapersté, J. 1991. Finding the perspective projection of an axis of revolution. Pattern Recognition Letters, 12:693-700.
10. Huttenlocher, D. and Ullman, S. 1987. Object recognition using alignment. In Int. Conf. on Computer Vision. London, U.K., pp. 102-111.
11. Joshi, T., Vijayakumar, B., and Kriegman, D. 1997. HOT curves for modeling and recognition of smooth curved 3D objects. Image and Vision Computing, 15(7):479-498.
12. Kergosien, Y.L. 1981. La famille des projections orthogonales d'une surface et ses singularités. C.R. Acad. Sc. Paris, 292:929-932.
13. Koenderink, J.J. 1984. What does the occluding contour tell us about solid shape?. Perception, 13:321-330.
14. Koenderink, J.J. and Van Doom, A.J. 1976. The singularities of the visual mapping. Biological Cybernetics, 24:51-59.
15. Kriegman, D. and Ponce, J. 1990a. On recognizing and positioning curved 3D objects from image contours. IEEE Trans. Pattern Anal. Mach. Intelligence, 12(12):1127-1137.
16. Kriegman, D.J. and Ponce, J. 1990b. Computing exact aspect graphs of curved objects: Solids of revolution. Int. J. Computer Vision, 5(2):119-135.
17. Liu, J., Mundy, J., Forsyth, D., Zisserman, A., and Rothwell, C. 1993. Efficient recognition of rotationally symmetric surfaces and straight homogeneous generalized cylinders. In Proc. IEEE Conf. on Comp. Vision and Patt, Recog. New York City, NY, pp. 123-128.
18. Lockwood, E.H. 1967. Pedal curves. In A Book of Curves. Cambridge University Press: Cambridge, England, pp. 152-155.
19. Lowe, D.G. 1987. The viewpoint consistency constraint. Int. J. Computer Vision, 1(1):57-72.
20. Maclaurin, C. 1718. Tractatus de Curvarum Constructione & Mensura. Philosophical Transactions, 30(356):803-812.
21. Murase, H. and Nayar, S. 1995. Visual learning and recognition of 3-d objects from appearance. Int. J. Computer Vision, 14(1):5-24.
22. Ponce, J. and Chelberg, D. 1987. Finding the limbs and cusps of generalized cylinders. Int. J. Computer Vision, 1(3):195-210.
23. Ponce, J., Hoogs, A., and Kriegman, D. 1992. On using CAD models to compute the pose of curved 3D objects. CVGIP: Image Understanding, 55(2):184-197.
24. Renaudie, D., Kriegman, D., and Ponce, J. 2000. Duals, invariants, and the recognition of smooth objects from their occluding contour. In Proc. European Conf. on Computer Vision, vol. 1, pp. 784-798.
25. Richetin, M., Dhome, M., Lapresté, J., and Rives, G. 1991. Inverse perspective transform from zero-curvature curve points: Application to the localization of some generalized cylinders from a single view. IEEE Trans. Pattern Anal. Mach. Intelligence, 13(2):185-191.
26. Sullivan, S. and Ponce, J. 1998. Automatic model construction, pose estimation, and object recognition from photographs using triangular splines. IEEE Trans. Pattern Anal. Mach. Intelligence, 20(10):1091-1096.
27. Torr, P. and Zisserman, A. 2000. MLESAC: A new robust estimator with application to estimating image geometry. CVIU, 78(1):138-156.
28. Vaillant, R. and Faugeras, O. 1992. Using extremal boundaries for 3D object modeling. IEEE Trans. Pattern Anal. Mach. Intelligence, 14(2):157-173.
29. Vijayakumar, B., Kriegman, D., and Ponce, J. 1998. Invariant-based recognition of complex curved 3-D objects from image contours. Computer Vision and Image Understanding, pp. 287-303.
30. Zeroug, M. and Medioni, G. 1995. The challenge of generic object recognition. In Object Representation for Computer Vision, M. Hebert, J. Ponce, T. Boult, and A. Gross (Eds.). Springer-Verlag, pp. 271-232.