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.

THB-spline approximations for turbine blade design with local B-spline approximations / C. Bracco, C. Giannelli, D. Grossmann, S. Imperatore, D. Mokris, A. Sestini. - STAMPA. - 29:(2022), pp. 63-82. (Intervento presentato al convegno MACMAS 2019) [10.1007/978-3-030-94339-4_3].

THB-spline approximations for turbine blade design with local B-spline approximations

C. Bracco;C. Giannelli;S. Imperatore;A. Sestini
2022

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.
2022
Special Volume SEMA SIMAI Springer Series for MACMAS 2019
MACMAS 2019
C. Bracco, C. Giannelli, D. Grossmann, S. Imperatore, D. Mokris, A. Sestini
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1220280
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