“Surface reconstruction from point set using projection operator” by Phan, Liu, Abeysinghe, Ju and Grimm

  • ©Ly Phan, Lu Liu, Sasakthi S. Abeysinghe, Tao Ju, and Cindy M. Grimm

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Title:

    Surface reconstruction from point set using projection operator

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Abstract:


    Surface reconstruction from point clouds is an important problem for its wide range of practical applications. One way to describe a surface implied by point sets is to define a method that projects a given point in space onto the surface. In the seminal work of Amenta [Amenta and Kil 2004], a mathematical definition of such point set surfaces was proposed as the extremal surface of an unoriented vector field and an energy function. Although precisely defined, the surface was constructed indirectly by a projection process that results in a dense point set instead of explicit mesh geometry.

References:


    1. Amenta, N., and Kil, Y. J. 2004. Defining point-set surfaces. ACM Transactions on Graphics (SIGGRAPH 2004 Proceedings) 23, 3, 264–270.


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