2020/03/19 by Cesare Bracco, Carlotta Giannelli, Bracco, Cesare +9
Engineering · Medicine · #Advanced Numerical Analysis Techniques #Colorectal Cancer Surgical Treatments #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.2003.08706
openalex publication_date 2020/03/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.