THB-spline approximations for turbine blade design with local B-spline approximations
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We consider adaptive scattered data fitting schemes with truncated hierarchical B-splines (THB-splines) based on two-stage methods for the adaptive reconstruction of industrial models. The first stage of the scheme is devoted to the computation of local least squares B-spline approximations. A simple fairness functional is suitably exploited to handle data distributions with a varying density of points locally available. Hierarchical spline quasi-interpolation based on THB-splines is considered in the second stage of the method to construct the adaptive spline surface approximating the scattered data set. A selection of examples on geometric models representing components of aircraft turbine blades highlights the performance of the scheme. The tests include a scattered data set with voids and the adaptive reconstruction of a cylinder-like surface.
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