Surface reconstruction with Least Square Reproducing Kernel and Partition Of Unity

Proceedings - 16th International Conference on Artificial Reality and Telexistence - Workshops, ICAT 2006

Volumn , Issue , 2006, Pages 375-380

  Yang, Jun ^a,b   Zhu, Changqian ^a   Zhang, Hua ^c  

^a SOUTHWEST JIAOTONG UNIVERSITY   (China)

^b LANZHOU JIAOTONG UNIVERSITY   (China)

^c RESEARCH CENTER OF LASER FUSION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BLENDING; CURVE FITTING; FUNCTION EVALUATION; GEODESY; IMAGE RECONSTRUCTION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL TECHNIQUES; PARTITIONS (BUILDING); PULSED LASER DEPOSITION; REPAIR; RESTORATION; SEPARATION; THREE DIMENSIONAL; VIRTUAL REALITY;

(1 1 0) SURFACE; (ALGORITHMIC) COMPLEXITY; (MAPPED) LEAST SQUARES; 3D RECONSTRUCTION PROBLEMS; INTERNATIONAL CONFERENCES; LASER RANGE SCANNERS; LOCAL APPROXIMATION; LOCAL SHAPE; NUMERICAL EXPERIMENTS; PARTITION OF UNITY; POINT DATASETS; REPRODUCING KERNELS; SCATTERED POINTS; SUB-DOMAINS; SUBDIVISION METHODS; WEIGHTING FUNCTIONS;

SURFACE RECONSTRUCTION;

EID: 46449122754     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICAT.2006.120     Document Type: Conference Paper

References (16)

1. W. K. LIU, R. A. URAS, and Y. CHEN, "Enrichment of The Finite Element Method with Reproducing Kernel Particle Method," Journal of Applied Mechanics, ASME, Vol. 64, pp. 861-870, 1997.
2. S. LI, and W. K. LIU, "Meshfree Particle Methods and Their Applications," Applied Mechanics Review, Vol. 55, pp. 1-34, 2002.
3. J. D. Boissonnat, "Geometric Structures for Threedimensional Shape Representation", ACM Transactions on Graphics, Vol. 3, pp. 266-286, 1984.
4. H. Hoppe, T. DeRose, T. Duchamp, J. McDonald, and W. Stuetzle, "Surface Reconstruction from Unorganized Points," Proceedings of ACM SIGGRAPH 1992, Chicago, USA, pp. 71-78, 1992.
5. O. Schall, and M. Samozino, "Surface from Scattered Points: A Brief Survey of Recent Developments," The 1st International Workshop on Semantic Virtual Environments, Villars sur Ollon, Switzerland, pp. 138-147, 2005.
6. J. Carr, W. Fright, and R. Beatson, "Surface Interpolation with Radial Basis Functions for Medical Imaging," IEEE Trans. Medical Image, Vol. 16, pp. 96-107, 1997.
7. Y. Ohtake, A. G. Belyaev, and H.-P. Seidel, "3D Scattered Data Approximation with Adaptive Compactly Supported Radial Basis Functions," Shape Modeling International 2004, Genova, Italy, pp. 31-39, 2004.
8. I. Tobor, P. Reuter, and C. Schilck, "Effcient Reconstruction of Large Scattered Geometric Datasets Using The Partition of Unity and Radial Basis Functions," Journal of WSCG, Vol. 12, pp. 467-474, 2004.
9. Y. Ohtake, A. Belyaev, M. Alexa, G. Turk, and H. P. Seidel, "Multi-level Partition of Unity Implicits," ACM Transactions on Graphics, Vol. 22, pp. 463-470, 2003.
10. D. Levin, "The Approximation Power of Moving Leastsquares," Mathematics of Computation, Vol. 67, pp. 1517-1531, 1998.
11. D. Levin, "Mesh-independent Surface Interpolation," Geometric Modeling for Scientific Visualization, Springer, Berlin, pp. 37-49, 2003.
12. M. Alexa, J. Behr, D Cohen-Or, S. Fleishman, D. Levin, and C. T. Silva, "Computing and Rendering Point Set Surfaces," IEEE Trans. on Visualization and Computer Graphics, Vol. 9, pp. 3-15, 2003.
13. S. Fleishman, D. Cohen-Or, M. Alexa, and C. T. Silva, "Progressive Point Set Surfaces," ACM Transactions on Graphics, Vol. 22, pp. 997-1011, 2003.
14. P. Reuter, P. Joyot, J. Trunzler, T. Boubekeur, and C. Schlick, "Surface Reconstruction with Enriched Reproducing Kernel Particle Approximation," Proceedings of the IEEE/Eurographics Symposium on Point-Based Graphics, New York, USA, pp. 79-87, 2005.
15. G. Taubin, "Estimation of Planar Curves, Surfaces and Nonplanar Space Curves Defined by Implicit Equations, with Applications to Edge and Range Image Segmentation," IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 13 pp. 1115-1138, 1991.
16. R. Franke, and G. Nielsen, "Smooth Interpolation for Large Sets of Scattered Data," Int. Journal for Numerical Methods in Engineering, Vol. 15, pp. 1691-1704, 1980.