Ball splines are rolling ball elements that are suited for demanding applications. With dual-function capability designed into an integrated system, ball splines ...

Douglas Nychka, Bayesian Confidence Intervals for Smoothing Splines, Journal of the American Statistical Association, Vol. 83, No. 404 (Dec., 1988), pp. 1134-1143 ...

Figure 65.6: Smoothing Spline Example 2 The SMOOTH transformation is valid only with independent variables; typically, it is used in models with a single independent and a single dependent variable.

JÉRÉMIE BIGOT, SÉBASTIEN GADAT, SMOOTHING UNDER DIFFEOMORPHIC CONSTRAINTS WITH HOMEOMORPHIC SPLINES, SIAM Journal on Numerical Analysis, Vol. 48, No. 1 (2010), pp. 224-243 ...

ALPHA=number specifies the significance level of the confidence limits on the final thin-plate smoothing spline estimate when you request confidence limits to be included in the output data set.

The contrasts between a cubic and fifth-order spline become evident in plots of position, velocity, and acceleration for a system accelerating to 10 in./sec in 0.1 sec. One point to note is that ...