Polygonization of implicit surfaces

  title={Polygonization of implicit surfaces},
  author={Jules Bloomenthal},
  journal={Computer Aided Geometric Design},
This paper discusses a numerical technique that approximates an implicit surface with a polygonal representation. The implicit function is adaptively sampled as it is surrounded by a spatial partitioning. The partitioning is represented by an octree, which may either converge to the surface or track it. A piecewise polygonal representation is derived from the octree. The technique is insensitive to the complexity of the implicit function, allowing the designer great latitude. With a polygonal… CONTINUE READING
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Publications referenced by this paper.
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A survey of raysurface intersection algorithms

  • P. Hanrahan
  • Introduction to Ray Tracing , SIGGRAPH ’ 87…
  • 1987
1 Excerpt

Hanrahan, P

  • Computer Science Dept., Princeton University, September
  • A survey of ray-surface intersection algorithms…
  • 1986

Numerical Grid Generation: Foundations and Applications

  • J. F. Thompson, Z.U.A. Warsi, C. W. Mastin
  • Proceedings of SIGGRAPH’87 Anaheim, CA, July 27…
  • 1985

The potential method for blending surfaces and corners

  • C. Hoffman, J. Hopcroft
  • 1985

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