Reconstructing open surfaces from image data

International Journal of Computer Vision

Volumn 69, Issue 3, 2006, Pages 267-275

  Solem, Jan Erik ^a   Heyden, Anders ^a  

^a MALMÖ UNIVERSITY   (Sweden)

Author keywords

Computer vision; Level set method; Multiple view stereo; Structure from motion; Variational methods

Indexed keywords

APPROXIMATION THEORY; COMPUTER VISION; DATA ACQUISITION; PROBLEM SOLVING; VECTORS;

LEVEL SET METHOD; MULTIPLE VIEW STEREO; STRUCTURE FROM MOTION; VARIATIONAL METHODS;

IMAGE RECONSTRUCTION;

EID: 33744941317     PISSN: 09205691     EISSN: 15731405     Source Type: Journal    
DOI: 10.1007/s11263-006-7068-9     Document Type: Article

References (27)

1. Bertalmio, M., Sapiro, G., and Randall, G. 1999. Region tracking on surfaces deforming via level-sets methods. In Scale-Space Theories in Computer Vision, Second International Conference, Scale-Space'99, Mads Nielsen, Peter Johansen, Ole Fogh Olsen, and Joachim Weickert, (Eds.), Corfu, Greece, volume 1682 of Lecture Notes in Computer Science, Springer.
2. Burchard, P., Cheng, L.-T., Merriman, B., and Osher, S. 2001. Motion of curves in three spatial dimensions using a level set approach. J. Computational Physics, 166:720-741.
3. Caselles, V., Kimmel, R., and Sapiro, G. 1997a. Geodesic active contours. Int. Journal of Computer Vision.
4. Caselles, V., Kimmel, R., Sapiro, G., and Sbert, C. 1997b. Minimal surfaces based object segmentation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19(4):394-398.
5. Cheng, L-T., Burchard, P., Merriman, B., and Osher, S. 2001. Motion of curves constrained on surfaces using a level set approach. Technical Report UCLA CAM Report 00-32, University of California at Los Angeles.
6. Dervieux, A. and Thomasset, F. 1979. A finite element method for the simulation of Rayleigh-Taylor instability. In Approximation Methods for Navier-Stokes Problems, R. Rautman (Ed.), volume 771 of Lecture Notes in Mathematics, Springer: B:erlin, pp. 145-158.
7. Faugeras, O. and Gomes, J. 2000. Dynamic shapes of arbitrary dimension: The vector distance functions. In Proceedings of the Ninth IMA Conference on Mathematics of Surfaces, Roberto Cipolla and Ralph Martin (Eds.), The Mathematics of Surfaces IX. Springer.
8. Faugeras, O. and Keriven, R. 1998. Variational principles, surface evolution, PDEs, level set methods, and the stereo problem. IEEE Transactions on Image Processing, 7(3):336-344.
9. Gravouil, A., Moës, N., and Belytschko, T. 2002. Non-planar 3d crack growth by the extended finite element and level sets, part II: level set update. International Journal for Numerical Methods in Engineering, 53:2569-2586.
10. Hartley, R.I. and Zisserman, A. 2000. Multiple View Geometry in Computer Vision. Cambridge University Press.
11. Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., and Stuetzle, W. 1992. Surface reconstruction from unorganized points. Computer Graphics, 26(2):71-78.
12. Lhuillier, M. and Quan, L. 2003. Surface reconstruction by integrating 3d and 2d data of multiple views. In Int. Conf. Computer Vision, Nice, France, pp. 1313-1320.
13. Lorensen, W.E. and Cline, H.E. 1987. Marching cubes: a high resolution 3d surface reconstruction algorithm. Computer Graphics (Siggraph'87), 21(4): 163-169.
14. Morris, D. and Kanade, T. 2000. Image-consistent surface triangulation. In Proc. Conf. Computer Vision and Pattern Recognition, pp. 332-338.
15. Osher, S. and Sethian, J.A. 1988. Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. Journal of Computational Physics, 79:12-49.
16. Osher, S.J. and Fedkiw, R.P. 2002. Level Set Methods and Dynamic Implicit Surfaces. Springer Verlag.
17. Piegl, L. and Tiller, W. 1996. The NURBS Book. Springer-Verlag.
18. Pons, J-P., Faugeras, O., and Keriven, R. 2005. Modelling dynamic scenes by registering multi-view image sequences. In International Conference on Computer Vision and Pattern Recognition, San Diego, CA.
19. Pons, J-P., Hermosillo, G., Keriven, R., and Faugeras, O. 2003. How to deal with point correspondences and tangential velocities in the level set framework. In Int. Conf. Computer Vision, Nice, France, pp. 894-899.
20. Sethian, J.A. 1999. Level Set Methods and Fast Marching Methods Evolving Interfaces in Computational Geometry, Fluid Mechanics, Computer Vision, and Materials Science. Cambridge University Press.
21. Smereka, P. 2000. Spiral crystal growth. Physica D 138, pp. 282-301.
22. Solem, J.E. and Heyden, A. 2004. Reconstructing open surfaces from unorganized data points. In International Conference on Computer Vision and Pattern Recognition, Washington DC.
23. Solem, J.E. and Kahl, F. 2004. Surface reconstruction from the projection of points, curves and contours. In 2nd Int. Symposium on 3D Data Processing, Visualization and Transmission, Thessaloniki, Greece.
24. Solem, J.E. and Kahl, F. 2005. Surface reconstruction using learned shape models. In Advances in Neural Information Processing Systems 17. Lawrence K. Saul, Yair Weiss, and Léon Bottou, (Eds.), MIT Press, Cambridge, MA.
25. Solem, J.E. and Overgaard N.C. 2005. A geometric formulation of gradient descent for variational problems with moving surfaces. In The 5th International Conference on Scale Space and PDE methods in Computer Vision, Scale Space 2005, Hofgeismar, Germany, Springer, pp. 419-430.
26. Solem, J.E., Aanæs, H., and Heyden, A. 2004. A variational analysis of shape from specularities using sparse data. In 2nd Int. Symposium on 3D Data Processing, Visualization and Transmission, Thessaloniki, Greece.
27. Zhao, H.K., Osher, S., Merriman, B., and Kang, M. 2000. Implicit and non-parametric shape reconstruction from unorganized points using a variational level set method. In Computer Vision and Image Understanding, pp. 295-319.