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

@article{Auerbach1991ApproximationAG, 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}, year={1991}, volume={8}, pages={67-87} }

- Published 1991 in Computer Aided Geometric Design
DOI:10.1016/0167-8396(91)90050-L

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

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