Real functions for representation of rigid solids

@article{Shapiro1994RealFF,
  title={Real functions for representation of rigid solids},
  author={Vadim Shapiro},
  journal={Computer Aided Geometric Design},
  year={1994},
  volume={11},
  pages={153-175}
}
A range of values of a real function f : Ed + Iw can be used to implicitly define a subset of Euclidean space Ed. Such “implicit functions” have many uses in geometric and solid modeling. This paper focuses on the properties and construction of real functions for the representation of rigid solids (compact, semi-analytic, and regular subsets of Ed). We review some known facts about real functions defining compact semi-analytic sets, and their applications. The theory of R-functions developed in… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-10 of 33 references

Theory of R-functions and Some Applications. Naukova Dumka, Kiev

  • V. L. Rvachev
  • 1982
Highly Influential
18 Excerpts

Exact robot navigation in a geometrically complicated but topologically simple environment

  • E. Rimon, D. E. Koditschek
  • in: IEEE Internat. Con& on Robotics and…
  • 1990
Highly Influential
4 Excerpts

R-function solid modeling for Monte Carlo

  • D. V. Altiparmakov, P. Belicev
  • 1990
Highly Influential
2 Excerpts

Nonclassical Methods of Approximation Theory in Boundary Value Problems, Naukova Dumka, Kiev (in Russian)

  • V. L. Russian. Rvachev, V. A. Rvachev
  • 1979
Highly Influential
3 Excerpts

Mathematical foundations of constructive solid

  • A.A.G. Requicha, R. B. Tilove
  • 1978
Highly Influential
6 Excerpts

Mathematical foundations of constructive solid geometry : General topology of closed regular sets , Tech

  • A. A. G. Requicha, R. B. Tilove
  • 1978
Highly Influential
4 Excerpts

Methods of Logic Algebra in Mathematical Physics, Naukova

  • V. L. Russian. Rvachev
  • 1974
Highly Influential
2 Excerpts

Efficient triangulation of 3-dimensional domains

  • S. P. Timoshenko
  • Theory of Elasticity,
  • 1970
Highly Influential
3 Excerpts

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