“Nice and Fast Implicit Surfaces over Noisy Point Clouds” by Klein and Zachmann

  • ©Jan Klein and Gabriel Zachmann

  • ©Jan Klein and Gabriel Zachmann

  • ©Jan Klein and Gabriel Zachmann

  • ©Jan Klein and Gabriel Zachmann

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Title:

    Nice and Fast Implicit Surfaces over Noisy Point Clouds

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Abstract:


    We propose a new definition of the implicit surface for a noisy point cloud that allows for high-quality reconstruction of the surface in all cases. It is based on proximity graphs that provide a more topology-based measure for proximity of points. The new definition can be evaluated very fast, but, unlike other definitions based on the moving least squares (MLS) approach, it does not suffer from artifacts.

References:


    Alexa, M., Behr, J., Cohen-Or, D., Fleishman, S., Levin, D., and Silva, C. T. 2003. Computing and rendering point set surfaces. IEEE Trans. on Visualization and Comp. Graphics 9, 1 (Jan.-Mar.), 3–15.
    Jaromczyk, J. W., and Toussaint, G. T. 1992. Relative neighborhood graphs and their relatives. In Proc. of the IEEE, vol. 80, 1502–1571


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