Approximation and geometric modeling with simplex B-splines associated with irregular triangles

  title={Approximation and geometric modeling with simplex B-splines associated with irregular triangles},
  author={S. Auerbach and Robert H. J. Gmelig Meyling and Marian Neamtu and Helmut Schaeben},
  journal={Computer Aided Geometric Design},
Bivariate quadratic simplicial B-splines defined by their corresponding set of knots derived from a (suboptimal) constrained Delaunay triangulation of the domain are employed to obtain a Cl-smooth surface. The generation of triangle vertices is adjusted to the area1 distribution of the data in the domain. We emphasize here that the vertices of the triangles initially define the knots of the B-splines and do generally not coincide winth the abscissae of the data. Thus, this approach is well… CONTINUE READING
Highly Cited
This paper has 23 citations. REVIEW CITATIONS
14 Citations
33 References
Similar Papers


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

Approximation mit bivariaten B-splines iiber Dreiecken

  • S. Auerbach
  • MS Thesis, Dept. of Applied Mathematics, Univ. of…
  • 1990

Practice of bivariate quadratic simplicial splines

  • Multiuariate Data. Wiley, Chichester, C. R. 21-36. Traas
  • 1990

Processing digitized contour lines to digital surface representations

  • S. Auerbach, H. Schaeben
  • Math . Geol .
  • 1990

The computational costs of simplex spline functions

  • R. Haber, Shepard, MS, J. F. Abel, R. H. Gallagher, D. P. Greenberg
  • SIAM J. Numer. Anal
  • 1987

Computing with multivariate simplex splines

  • T. A. Grandine
  • J. Approx. Theory
  • 1986
1 Excerpt

Computing with multivariate simplex splines , in :

  • T. A. Grandine
  • 1986
1 Excerpt

Digital geoscientific maps : A priority program of the German society for the advancement of scientific research

  • R. Vinken
  • Math . Geol .
  • 1986

Polynomial spline appro , ximation in IWO variables

  • R. H. J. Gmelig Meyling
  • 1986

eds.. Approximation Theory IV, Academic Press, New York. 27-121

  • Ward, J.D
  • Farin. G
  • 1986

A storage efficient method for construction of a Thiessen triangulation

  • Numer. Meth. Eng
  • Rocky
  • 1984

Similar Papers

Loading similar papers…