Hancock, P A; Hutchinson, Michael
A computationally efficient numerical strategy for fitting approximate minimum GCV bivariate thin plate smoothing splines to large noisy data sets was developed. The procedure discretises the bivariate thin plate smoothing spline equations using biquadratic B-splines and uses a nested grid SOR iterative strategy to solve the discretised system. For efficient optimisation, the process incorporates a double iteration that simultaneously updates both the discretised solution and the estimate of...[Show more]
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