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GPU-Assisted Surface Reconstruction on Locally-Uniform Samples

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Summary

In point-based graphics, surfaces are represented by point clouds without explicit connectivity. If the distribution of the points can be carefully controlled, surface reconstruction becomes a much easier problem. We present a simple, completely local surface reconstruction algorithm for input point distributions that are locally uniform. The locality of the computation lets us handle large point sets using parallel and out-of-core methods. The algorithm can be implemented robustly with floating-point arithmetic. We demonstrate the simplicity, efficiency, and numerical stability of our algorithm with an out-of-core and parallel implementation using graphics hardware.

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References

  1. Gopi, M., Krishnan, S.: A fast and efficient projection based approach for surface reconstruction. International Journal of High Performance Computer Graphics (2002)

    Google Scholar 

  2. Buchart, C., Borro, D., Amundarain, A.: Gpu local triangulation: an interpolating surface reconstruction algorithm. Computer Graphics Forum 27(3) (2008)

    Google Scholar 

  3. Adamy, U., Giesen, J., John, M.: Surface reconstruction using umbrella filters. Comput. Geom. Theory Appl. 21(1), 63–86 (2002)

    MATH  MathSciNet  Google Scholar 

  4. Shewchuk, R.: Star splaying: an algorithm for repairing delaunay triangulations and convex hulls. In: SCG 2005: Proceedings of the twenty-first annual symposium on Computational geometry, pp. 237–246. ACM Press, New York (2005)

    Chapter  Google Scholar 

  5. Dey, T., Funke, S., Ramos, E.: Surface reconstruction in almost linear time under locally uniform sampling (2001)

    Google Scholar 

  6. Funke, S., Ramos, E.: Smooth-surface reconstruction in near-linear time. In: Proc. 15th Annu. ACM-SIAM Sympos. Discrete Algorithms (2002)

    Google Scholar 

  7. Dumitriu, D., Funke, S., Kutz, M., Milosavljevic, N.: How much geometry it takes to reconstruct a 2-manifold in r3. In: Workshop on Algorithm Engineering and Experiments (2008)

    Google Scholar 

  8. Dumitriu, D., Funke, S., Kutz, M., Milosavljevic, N.: On the locality of reconstructing a 2-manifold in r3 (unpublished manuscript, 2008), http://www.mpi-inf.mpg.de/~funke

  9. Zhou, K., Gong, M., Huang, X., Guo, B.: Highly parallel surface reconstruction. Technical report (April 2008)

    Google Scholar 

  10. Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: SGP 2006: Proceedings of the fourth Eurographics symposium on Geometry processing, Aire-la-Ville, Switzerland, pp. 61–70. Eurographics Association (2006)

    Google Scholar 

  11. Amenta, N., Bern, M.: Surface reconstruction by voronoi filtering. Discrete and Computational Geometry 22, 481–504 (1999)

    Article  MATH  MathSciNet  Google Scholar 

  12. Gonzalez, T.F.: Clustering to minimize the maximum intercluster distance. Theoretical Computer Science 38(2–3), 293–306 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  13. Dunbar, D., Humphreys, G.: A spatial data structure for fast poisson-disk sample generation. In: SIGGRAPH 2006: ACM SIGGRAPH 2006 Papers, pp. 503–508. ACM Press, New York (2006)

    Chapter  Google Scholar 

  14. Boissonnat, J.-D., Oudot, S.: Provably good sampling and meshing of surfaces. Graph. Models 67(5), 405–451 (2005)

    Article  MATH  Google Scholar 

  15. Surazhsky, V., Alliez, P., Gotsman, C.: Isotropic remeshing of surfaces: a local parameterization approach. In: Proceedings of 12th International Meshing Roundtable (2003)

    Google Scholar 

  16. Chen, L.: Mesh smoothing schemes based on optimal delaunay triangulations. In: In Proceedings of 13th International Meshing Roundtable, pp. 109–120 (2004)

    Google Scholar 

  17. Witkin, A.P., Heckbert, P.S.: Using particles to sample and control implicit surfaces. Computer Graphics 28(Annual Conference Series), 269–277 (1994)

    Google Scholar 

  18. Meyer, M., Georgel, P., Whitaker, R.T.: Robust particle systems for curvature dependent sampling of implicit surfaces. In: Proceedings of the International Conference on Shape Modeling and Applications (SMI), June 2005, pp. 124–133 (2005)

    Google Scholar 

  19. Edelsbrunner, H., Shah, N.R.: Triangulating topological spaces. In: SCG 1994: Proceedings of the tenth annual symposium on Computational geometry, pp. 285–292. ACM, New York (1994)

    Chapter  Google Scholar 

  20. NVIDIA Corporation. NVIDIA CUDA compute unified device architecture programming guide (January 2007), http://developer.nvidia.com/cuda

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© 2008 Springer-Verlag Berlin Heidelberg

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Kil, Y.J., Amenta, N. (2008). GPU-Assisted Surface Reconstruction on Locally-Uniform Samples. In: Garimella, R.V. (eds) Proceedings of the 17th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87921-3_22

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  • DOI: https://doi.org/10.1007/978-3-540-87921-3_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87920-6

  • Online ISBN: 978-3-540-87921-3

  • eBook Packages: EngineeringEngineering (R0)

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