Volumetric reconstruction of unorganized set of points with implicit surfaces

  • Authors:
  • Vincent Bénédet;Loïc Lamarque;Dominique Faudot

  • Affiliations:
  • Le2i Laboratory, University of Burgundy, Dijon, France;Le2i Laboratory, University of Burgundy, Dijon, France;Le2i Laboratory, University of Burgundy, Dijon, France

  • Venue:
  • ICCSA'05 Proceedings of the 2005 international conference on Computational Science and its Applications - Volume Part I
  • Year:
  • 2005

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Abstract

Many solutions exist to rebuild a three-dimensional object represented by a set of points. The purpose of our work is to provide an automatic reconstruction from an unorganized cloud, describing an unknown shape, in the aim to compute its volume. The approach employed in this paper consists in filling the object's interior with isosurfaces of potential fields and to use their fusion property in order to find the full volume and the continuous shape of the sampled object. Thus, the first step of our reconstruction is to search a correct interior for the object described by the set of points. Then, comes the positioning of implicit primitives into the cloud, deep inside of it and close to the boundary. A controlled fusion of the isosurfaces guarantees that no holes are present, such that we obtain a complete shape filling.