Least Squares Approximation by Splineswith Free Knots

  title={Least Squares Approximation by Splineswith Free Knots},
  author={Hubert Schwetlick and TORSTEN SCH UTZE},
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
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