Curve and surface fitting with splines
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TL;DR
Curve fitting is an introduction least-squares spline curve fitting smoothing spline Curve fitting more smoothingSpline curves fitting with convexity constraints.
Abstract
Part 1 Spline functions: univariate splines bivariate splines. Part 2 Curve fitting: an introduction least-squares spline curve fitting smoothing spline curve fitting more smoothing spline curves fitting with convexity constraints. Part 3 Surface fitting: an introduction scattered data surface fitting mesh data surface fitting more scattered data smoothing more mesh data smoothing Part 4 Fitpack: available software.