where belongs to the set of all continuously differentiable functions with square integrable second derivatives, and is a positive constant. Note The computations for a thin-plate smoothing spline are ...

This article shows how to fit a smooth curve (polynomial spline) to pairs of data values (y i, x i). Prior specification of a parametric functional form for the curve is not required. The resulting ...

Quantile smoothing splines were introduced by Koenker, Ng and Portnoy as natural and appealing estimates of conditional quantiles of response variables. The natural setting for the problem considers ...

B-Spline curve fitting stands as a cornerstone in the realm of computational geometry, providing a flexible and robust approach to approximating intricate shapes and surfaces. This method relies on ...