Highly Influenced

# Least Squares Approximation by Splineswith Free Knots

@inproceedings{Schwetlick1995LeastSA, title={Least Squares Approximation by Splineswith Free Knots}, author={Hubert Schwetlick and TORSTEN SCH UTZE}, year={1995} }

- Published 1995

Suppose we are given noisy data which are considered to be perturbed values of a smooth, univariate function. In order to approximate these data in the least squares sense, a linear combination of B-splines is used where the tradeoo between smoothness and closeness of the t is controlled by a smoothing term which regularizes the least squares problem and guarantees unique solvability independent of the position of knots. Moreover, a subset of the knot sequence which deenes the B-splines, the so… CONTINUE READING

#### From This Paper

##### Figures, tables, and topics from this paper.

#### Citations

##### Publications citing this paper.

#### Citation Statistics

#### 55 Citations

Citations per Year

Semantic Scholar estimates that this publication has

**55**citations based on the available data.See our **FAQ** for additional information.

#### References

##### Publications referenced by this paper.

Showing 1-7 of 7 references