An adaptive learning approach for 3-D surface reconstruction from point clouds

IEEE Transactions on Neural Networks

Volumn 19, Issue 6, 2008, Pages 1130-1140

  de Medeiros Brito Jr , Agostinho ^a   Neto, Adrião Duarte Dória ^a   de Melo, Jorge Dantas ^a   Marcos Garcia Gonçalves, Luiz ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO NORTE   (Brazil)

Author keywords

Adaptive geometry meshes; Multiresolution; Point clouds; Self organizing maps (SOMs); Surface reconstruction

Indexed keywords

CLOUDS; CONFORMAL MAPPING; EDUCATION; MULTIRESOLUTION ANALYSIS; RESTORATION; SELF ORGANIZING MAPS; THREE DIMENSIONAL;

3-D SPACES; ADAPTIVE GEOMETRY MESHES; ADAPTIVE LEARNING; ITERATIVE SCHEMES; KOHONEN; MEASURES OF PERFORMANCE; MESH REFINEMENTS; MULTI-RESOLUTION APPROACHES; MULTIRESOLUTION; OBJECT BOUNDARIES; OBJECT SURFACES; POINT CLOUDS; POINT SETS; SELF-ADAPTIVE; SELF-ORGANIZING MAPS (SOMS); SIMPLE RULES; SUCCESSIVE REFINEMENTS; UNORGANIZED POINTS;

SURFACE RECONSTRUCTION;

ADAPTATION; ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; ARTIFICIAL NEURAL NETWORK; AUTOMATED PATTERN RECOGNITION; HUMAN; LEARNING; METHODOLOGY; PHYSIOLOGY; THREE DIMENSIONAL IMAGING;

ADAPTATION, PHYSIOLOGICAL; ALGORITHMS; ARTIFICIAL INTELLIGENCE; HUMANS; IMAGING, THREE-DIMENSIONAL; LEARNING; NEURAL NETWORKS (COMPUTER); PATTERN RECOGNITION, AUTOMATED;

EID: 49149084589     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2008.2000390     Document Type: Article

References (33)

1. H. Hoppe, "Surface reconstruction from unorganized points," Ph.D. dissertation, Dept. Comput. Sci. Eng., Univ. Washington, Seattle, WA, 1994.
2. J. Montagnat, H. Delingette, and N. Ayache, "A review of deformable surfaces: Topology, geometry and deformation," Image Vis. Comput. vol. 19, pp. 1023-1040, 2001.
3. D. S. Chen, R. C. Jain, and B. G. Schunck, "Surface reconstruction using neural networks," in Proc. Comput. Vis. Pattern Recognit. Conf., 1992, pp. 815-817.
4. S. Alfonzetti, S. Coco, S. Cavalieri, and M. Malgeri, "Automatic mesh generation by the let-it-grow neural network," IEEE Trans. Magn., vol. 32, no. 3, pt. 1, pp. 1349-1352, 1996.
5. Y. Yu, "Surface reconstruction from unorganized points using self-organizing neural networks," in Proc. IEEE Vis. LBHT, San Francisco, CA, 1999, pp. 61-64.
6. M. Petrov, A. Talapov, T. Robertson, A. Lebedev, A. Zhilyaev, and L. Polonskiy, "Optical 3D digitizers: Bringing life to the virtual world," IEEE Comput. Graph. Appl., vol. 18, no. 3, pp. 28-37, May/Jun. 1998.
7. N. Amenta, S. Choi, and R. K. Kolluri, "The power crust," in Proc. 6th ACM Symp. Solid Model. Appl., 2001, pp. 249-266.
8. N. Amenta, S. Choi, T. K. Dey, and N. Leekha, "A simple algorithm for homeomorphic surface reconstruction," in Proc. 16th Symp. Comput. Geometry, 2000, pp. 213-222.
9. R. Kolluri, J. R. Shewchuk, and J. F. O'Brien, "Spectral surface reconstruction from noisy point clouds," in Proc. Symp. Geometry Process., Jul. 2004, pp. 11-21.
10. J. C. Carr, "Surface reconstruction in 3D medical imaging," Ph.D. dissertation, Dept. Electr. Electron. Eng., Univ. Canterbury, Christchurch, New Zealand, 1996.
11. D. M. Tavares, A. M. Dias, A. M. Burlamaqui, V. A. Antunes, G. C. B. Tho, M. I. Monteiro, L. M. G. Goncalves, P. J. Alsina, A. A. D. Medeiros, and G. L. Filho, "Hyperpresence - An application environment for control of multi-user agents in mixed reality space," in Proc. 36th Annu. Simul. Symp., 2003, pp. 351-358.
12. G. Zeng, S. Paris, L. Quan, and M. Lhuillier, "Surface reconstruction by propagating 3D stereo data in multiple 2D images," in Proc. Eur. Conf. Comput. Vis., 2004, pp. 163-174.
13. W. E. Lorensen and H. E. Cline, "Marching cubes: A high resolution 3D surface construction algorithm," Comput. Graph., vol. 21, no. 4, pp. 163-169, 1987.
14. L. Alboul, G. Kloosterman, C. R. Traas, and R. M. J. van Damme, "Best data-dependent triangulations," Faculty Math. Sci., Univ. Twente, Enschede, The Netherlands, Tech. Rep. 1487, 1999.
15. L. D. Cohen, "On active contour models and balloons," Comput. Vis. Graph. Image Process.: Image Understanding, vol. 2, no. 53, pp. 211-218, 1991.
16. D. Terzopoulos and A. Witkin, "Deformable models," IEEE Comput. Graph. Appl., vol. 8, no. 6, pp. 41-51, Nov. 1988.
17. Y. Chen and G. Medioni, "Description of complex objects from multiple range images using an inflating balloon model," Comput. Vis. Image Understanding, vol. 61, no. 3, pp. 325-334, 1995.
18. J. Barhak and A. Fischer, "Adaptive reconstruction of freeform objects with 3DSOM neural network grids," in Proc. 9th Pacific Conf. Comput. Graph. Appl., 2001, pp. 97-105.
19. B. Fritzke, "Growing cell structures - A self-organizing network for unsupervised and supervised learning," Int. Comput. Sci. Inst., Berkeley, CA, Rep. ICSTR-93-026, 1993.
20. I. Ivrissimtzis, W.-K. Jeong, and H.-P. Seidel, "Using growing cell structures for surface reconstruction," in Proc. Int. Conf. Shape Model. Appl., 2003, pp. 78-86.
21. I. Ivrissimtzis, W.-K. Jeong, S. Lee, Y. Lee, and H.-P. Seidel, "Surface reconstruction based on neural meshes," in Proc. Math. Methods Curves Surfaces, 2004, pp. 223-242.
22. T. Kohonen, Self-Organization and Associative Memory. New York: Springer-Verlag, 2001.
23. S. Haykin, Neural Networks: A Comprehensive Foundation, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, 1999.
24. T. Kohonen, "Things you haven't heard about the self-organizing map," in Proc. IEEE Int. Conf. Neural Netw., San Francisco, CA, 1993, pp. 1147-1156.
25. E. W. Weisstein, Ed., CRC Concise Encyclopedia of Mathematics, 2nd ed. Boca Raton, FL: CRC Press, 2002.
26. W. Schroeder, J. Zarge, and W. Lorensen, "Decimation of triangle meshes," Comput. Graph., vol. 26, no. 2, pp. 65-70, 1992.
27. C. M. Bishop, Neural Networks for Pattern Recognition. Oxford, U.K.: Oxford Univ. Press, 1995.
28. S. Arya, D. M. Mount, N. S. Netanyahu, R. Silverman, and A. Y. Wu, "An optimal algorithm for approximate nearest neighbor searching," J. ACM, no. 45, pp. 891-923, 1998.
29. H. Delingette, "Initialization of deformable models from 3D data," in Proc. 6th Int. Conf. Comput. Vis., Bombay, India, 1998, pp. 311-316.
30. Gonçalves and L. M. G. Gonçalves, "Novos resultados em triangulações," in Proc. X Brazilian Symp. Comput. Graph. Image Process. (SIBGRAPI), L. H. de Figueiredo and M. L. Netto, Eds., Campos do Jordão, SP, Oct. 14-17, 1997.
31. D. F. Rogers, Procedural Elements for Computer Graphics, 2nd ed. New York: McGraw-Hill, 1998.
32. A. M. Martins, A. D. D. Neto, J. D. de Melo, and J. A. F. Costa, "Clustering using neural networks and Kullback-Leibler divergency," in Proc. Int. Joint Conf. Neural Netw., Budapest, Hungary, 2004, pp. 01-06.
33. L. Manevitz, D. Givoli, M. Margi, and M. Yousef, "AI and NN tools for the finite element method: Self-organizing mesh creation and heuristic node numbering in meshes," in The 1st Online Workshop on Soft Computing, 1996, pp. 192-197, Res. Group ECOmp Soc. Fuzzy Theory Syst. (SOFT).