Seminár Ústavu informatiky


Interpolating spline based data smoothing

doc. RNDr. Csaba Török, CSc.
Ústav informatiky, PF UPJŠ

24. októbra 2018 (streda) o 12:45
SJ2S07 (3.16T), PF UPJŠ


Though B-splines are the standard objects and tools both in the spline theory and in its application fields, for researchers the interpretation of the abstract control values as model coefficients presents an issue. Based on a recently uncovered relationship for computation of the inverse of tridiagonal matrices, we derive an explicit matrix form for interpolating cubic splines, whose function value parameters are naturally interpreted. The technique, which is applicable for both uniform and nonuniform splines, is demonstrated by fitting and forecasting real data.