Approximation by Profile Surfaces 1

@inproceedings{Pottmann2000ApproximationBP,
  title={Approximation by Profile Surfaces 1},
  author={Helmut Pottmann and H.-Y. Chen and I.-K. Lee},
  year={2000}
}
A new algorithm for approximation of a given surface or scattered points by a surface of revolution is presented. It forms the basis for a study of approximation with profile surfaces. Those are sweeping surfaces traced out by a planar curve when its plane is rolling on a developable surface. Important special cases include developable surfaces and pipe surfaces, where the moving curve is a straight line or circle, respectively. The methods are illustrated using applications in reverse… CONTINUE READING
Highly Cited
This paper has 17 citations. REVIEW CITATIONS

From This Paper

Figures, tables, and topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 19 references

Approximation by cylinder surfaces

  • T. Randrup
  • 1997
Highly Influential
4 Excerpts

Curve approximation for unorganized data

  • Lee, I.-K
  • points, in preparation,
  • 1998
2 Excerpts

Approximation by developable surfaces

  • T. Randrup
  • Private communication,
  • 1997
1 Excerpt

Data reduction for reverse engineering, in The Mathematics of Surfaces

  • R. R. Martin, I. A. Stroud, A. D. Marshall
  • Information Geometers,
  • 1997
1 Excerpt

Similar Papers

Loading similar papers…