3D Shape from Unorganized 3D Point Clouds (original) (raw)

References

1. Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., Silva, C.T.: Computing and Rendering Point Set Surfaces. Trans. Vis. Comp. Graph. 9(1), 3–15 (2003)
   Article Google Scholar
2. Amenta, N., Kill, Y.J.: Defining Point-Set Surfaces. ACM Transactions on Graphics 23(3), 264–270 (2004), Special Issue: Proceedings of SIGGRAPH 2004
   Article Google Scholar
3. Boissonnat, J., Cazals, F.: Smooth surface reconstruction via natural neighbour interpolation of distance functions. In: Proc. 18th Annual Symp. Comp. Geom., pp. 223–232 (2000)
   Google Scholar
4. Boyer, E., Petitjean, S.: Regular and Non-Regular Point Sets: Properties and Reconstruction. Comp. Geometry 19, 101–131 (2001)
   Article MATH MathSciNet Google Scholar
5. Capps, M., Teichmann, M.: Surface reconstruction with anisotropic density-scaled alpha shapes. In: IEEE Visualization 1998 Proceedings, October 1998, pp. 67–72 (1998)
   Google Scholar
6. Cazals, F., Giesen, J., Pauly, M., Zomorodian, A.: Conformal Alpha Shapes. In: Pauly, M., Zwicker, M. (eds.) Eurographics Symposium on Point-Based Graphics (2005)
   Google Scholar
7. Cazals, F., Pouget, M.: Estimating Differential Quantities Using Polynomial Fitting of Osculating Jets. In: Proceedings Eurographics/ACM SIGGRAPH Symposium on Geometry Processing, pp. 177–187 (2003)
   Google Scholar
8. Cheng, S.-W., Dey, T.K., Ramos, E., Ray, T.: Sampling and meshing a surface with guaranteed topology and geometry. In: Proc. 20th Ann. Symp. on Comp. Geometry, pp. 280–289. ACM, New York (2004)
   Google Scholar
9. Dey, T.K., Sun, J.: An Adaptive MLS Surface for Reconstruction with Guarantees. Tech. Rep. OSU-CISRC-4-05-TR26 (April 2005)
   Google Scholar
10. Cheng, S.-W., Dey, T.K., Ramos, E.: Manifold Reconstruction from Point Samples. In: Proc. ACM-SIAM Sympos. Discrete Algorithms, pp. 1018–1027 (2005)
    Google Scholar
11. Cohen-Steiner, D., Morvan, J.-M.: Restricted Delaunay triangulations and normal cycle. In: Proc. 19 ACM Symp. Comp. Geometry, pp. 312–321 (2003)
    Google Scholar
12. Daniilidis, K., Zabulis, X.: Multi-camera reconstruction based on surface normal estimation. In: 2nd Intl. Symp. 3D Data processing, Visualization and Transmission, Thessaloniki, Greece. IEEE Proc. Series, in cooperation with Eurographics and ACM SIGGRAPH (2004)
    Google Scholar
13. Dey, T.K., Goswami, S.: Provable surface reconstruction from noisy samples. In: Proc. 20th Annual Symposium on Computational Geometry, pp. 330–339. ACM, New York (2004)
    Google Scholar
14. Dey, T.K., Li, G., Sun, J.: Normal Estimation for Point Clouds: A Comparison for a Voronoi Based Method. In: Pauly, M., Zwicker, M. (eds.) Eurographics Symposium on Point-Based Graphics (2005)
    Google Scholar
15. Dey, T.K., Sun, J.: Extremal Surface Based Projections Converge and Reconstruct with Isotopy. Tech. Rep. OSU-CISRC-05-TR25 (April 2005)
    Google Scholar
16. Edelsbrunner, H., Mucke, E.P.: Three-dimensional alpha shapes. ACM Trans. Graph. 13(10), 43–72 (1994)
    Article MATH Google Scholar
17. Flynn, P.J., Jain, A.K.: On Reliable Curvature Estimation. In: Proc. IEEE Conf. Comp. Vis. Patt. Rec., pp. 110–116 (1989)
    Google Scholar
18. Goldfeather, J., Interrante, V.: A Novel Cubic-Order Algorithm for Approximating Principal Direction Vectors. ACM Transactions on Graphics 23(1), 45–63 (2004)
    Article Google Scholar
19. Gopi, M., Krishnan, S., Silva, C.T.: Surface reconstruction based on lower dimensional localized Delaunay triangulation. In: EUROGRAPHICS 2000, Computer Graphics Forum, vol. 19(3) (2000)
    Google Scholar
20. Guillemaut, J.-Y., Drbohlav, O., Sara, R., Illingworth, J.: Helmholtz Stereopsis on rough and strongly textured surfaces. In: 2nd Intl. Symp. 3D Data Processing, Visualization and Transmission, Thessaloniki, Greece, September 2004. IEEE Proc. Sers., in cooperation with Eurographics and ACM SIGGRAPH (2004)
    Google Scholar
21. Hoppe, H., DeRose, T., Duchamp, T., McDonald, J., Stuetzle, W.: Surface reconstruction from unorganized points. Comp. Graph (SIGGRAPH 1992 Proceedings) 26, 71–78 (1992)
    Article Google Scholar
22. Kamberov, G., Kamberova, G.: Recovering Surfaces from the Restoring Force. In: Heyden, A., Sparr, G., Nielsen, M., Johansen, P. (eds.) ECCV 2002. LNCS, vol. 2351, pp. 598–612. Springer, Heidelberg (2002)
    Chapter Google Scholar
23. Kamberov, G., Kamberova, G.: Topology and Geometry of Unorganized Point Clouds. In: 2nd Intl. Symp. 3D Data processing, Visualization and Transmission, Thessaloniki, Greece, September 2004. IEEE Proc. Series, in cooperation with Eurographics/ACM SIGGRAPH (2004)
    Google Scholar
24. Kamberov, G., Kamberova, G.: Conformal Method for Quantitative Shape Extraction: Performance Evaluation. In: ICPR 2004, Cambridge, UK, August 2004. IEEE Proceedings Series (2004)
    Google Scholar
25. Levin, D.: Mesh-Independent Surface Interpolation. In: Brunnett, G., Hamann, B., Mueller, H., Linsen, L. (eds.) To appear in Geometric Modeling for Scientific Visualization. Springer, Heidelberg (2003)
    Google Scholar
26. Meek, D., Walton, D.: On surface normal and Gaussian curvature approximations given data sampled from a smooth surface. Computer-Aided Geometric Design 12, 521–543 (2000)
    Article MathSciNet Google Scholar
27. Medioni, G., Tang, C.: Curvature-Augmented Tensor Voting for Shape Inference from Noisy 3D Data. IEEE PAMI 24(6) (June 2002)
    Google Scholar
28. Mitra, N., Nguyen, A., Guibas, L.: Estimating Surface Normals in Noisy Point Cloud Data. In: Proc. 19th ACM Symp. Comput. Geometry (SoCG), pp. 322–328 (2003)
    Google Scholar
29. Meyer, M., Desbrun, M., Schröder, P., Barr, A.: Discrete Differential-Geometry Operators for Triangulated 2-Manifolds, Preprint, See http://www.cs.caltech.edu/~mmeyer/
30. Šára, R., Bajcsy, R.: Fish-Scales: Representing Fuzzy Manifolds. In: Proc. Int. Conf. on Computer Vision, Bombay, India. Narosa Publishing House, Bombay (1998)
    Google Scholar
31. Rusinkiewicz, S.: Estimating Curvatures and Their Derivatives on Triangle Meshes. In: 2nd Intl. Symp. 3D Data processing, Visualization and Transmission, Thessaloniki, Greece. IEEE Proc. Ser., in cooperation with Eurographics and ACM SIGGRAPH (2004)
    Google Scholar
32. Stokley, E.M., Wu, S.Y.: Surface Paremeterization and Curvature Measurement of Arbitrsary 3D Objects: Five Practical Methods. IEEE Trans. PAMI 14 (1992)
    Google Scholar
33. Surazhsky, T., Magid, E., Soldea, O., Elber, G., Rivlin, E.: A comparison of Gaussian and mean curvatures estimation methods on triangular meshes. In: 2003 IEEE Interntl. Conf. on Robotics & Automation, ICRA 2003 (2003)
    Google Scholar
34. Taubin, G.: Estimating the Tensor of Curvature of a Surface from a Polyhedral Approximation. In: Proc. 5th Intl. Conf. on Computer Vision (ICCV 1995), pp. 902–907 (1995)
    Google Scholar
35. Tasdizen, T., Whitaker, R., Burchard, P., Osher, S.: Geometric surface processing via normal maps. ACM Transactions on Graphics 22(4), 1012–1033 (2003)
    Article Google Scholar
36. Tong, W.S., Tang, C.K.: Robust Estiation of Adaptive Tensors of Curvature by Tensor Voting. IEEE Trans. PAMI 27(3), 434–449 (2005)
    Google Scholar
37. Trucco, E., Fisher, R.: Experiments in Curvature-Based Segmentation of Range Data. IEEE Trans. PAMI 17 (1995)
    Google Scholar
38. Zickler, T., Belhumeur, P.N., Kriegman, D.J.: Helmholtz Stereopsis: Exploiting Reciprocity for Surface Reconstruction. Int. Jour. Comp. Vis. (IJCV) 49(2/3), 215–227
    Google Scholar

Download references