THB-spline approximations for turbine blade design with local B-spline approximations
Abstract
We consider two-stage scattered data fitting with truncated hierarchical B-splines (THB-splines) for the adaptive reconstruction of industrial models. The first stage of the scheme is devoted to the computation of local least squares variational spline approximations, exploiting a simple fairness functional to handle data distributions with a locally varying density of points. 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 whole scattered data set and a suitable strategy to guide the adaptive refinement is introduced. A selection of examples on geometric models representing components of aircraft turbine blades highlights the performances of the scheme. The tests include a scattered data set with voids and the adaptive reconstruction of a cylinder-like surface.
Keywords
Cite
@article{arxiv.2003.08706,
title = {THB-spline approximations for turbine blade design with local B-spline approximations},
author = {Cesare Bracco and Carlotta Giannelli and David Grossmann and Sofia Imperatore and Dominik Mokris and Alessandra Sestini},
journal= {arXiv preprint arXiv:2003.08706},
year = {2020}
}