Relative 3D regularized B-spline surface reconstruction through image sequences
This paper considers the problem of 3D surface reconstruction using image sequences. We propose a direct method of surface reconstruction which is based on regularized uniform bicubic B-spline surface patches. The reconstruction is achieved by observing the motion of occluding contours [1, 4, 10], i.e., where the view lines graze the surface. It has been shown that reconstruction of such a 3D surface is possible when the camera motion is known, with the exception of those fully concave parts where no view line can be tangential to the surface. This approach differs from previous work, it states directly the problem of regularization on the 3D surface. Experimental results are presented for real data.
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- 1.Arbogast, E., Mohr R.: 3D structures inference from images sequences. International Journal of Pattern Recognition and Artificial Intelligence. 5(5) (1991) 749Google Scholar
- 2.Bartels, R.H., Beatty J.C., Barsky B.A.: An introduction to splines for use in computer graphics and geometric modeling. Morgan Kaufman Pu. Inc., (1987)Google Scholar
- 3.Do Carmo, M.P.: Differential geometry of curves and surfaces. Prentice Hall, (1976)Google Scholar
- 4.Cipolla, R., Blake, A.: Surface shape from the deformation of apparent contours. International Journal of Computer Vision. 9(2) (1992) 83–112Google Scholar
- 5.Deriche, R.: Using Canny's criteria to derive a recursively implemented optimal edge detector. International Journal of Computer Vision. 1(2) (1987) 167–187Google Scholar
- 6.Giblin, P., Weiss, R.: Reconstruction of surfaces from profiles. In Proceedings of the 1st International Conference on Computer Vision. London, England, (1987) 136–144Google Scholar
- 7.Koenderink, J.J.: What does the occluding contour tell us about solid shape ? Perception, 13 (1984) 321–330Google Scholar
- 8.Laurent, P.J.: Courbes ouvertes ou fermées par B-splines régularisées. Technical Report RR 652-M-, IMAG, Grenoble, France, (1987)Google Scholar
- 9.Mohr, R., Quan, L., Veillon, F., Boufama, B.: Relative 3D reconstruction using multiples uncalibrated images. Technical Report RT 84-I-IMAG LIFIA 12, LIFIA-IMAG, (1992)Google Scholar
- 10.Vaillant, R., Faugeras, O.D.: Using Extremal Boundaries for 3-D Objet Modeling. IEEE Transactions on PAMI, 14(2) (1992) 157–173Google Scholar
- 11.Zhao, C.S., Mohr, R.: B-spline patches for surface reconstruction in computer vision. In P. J. Laurent, A. Le Méhauté, and L. L. Schumaker, editors, Curves and Surfaces II, Academic Press, Boston, 1994.Google Scholar