Data fitting schemes with hierarchical splines
- Sofia Imperatore
- © 2026 Author(s) |
- CC BY 4.0
- DOI: 10.36253/979-12-215-1002-7.05
In this Chapter, we exploit two main approximation methods to define the a THB-spline model: reweighted least-square (rWLS) approximation and the Quasi-Interpolation (QI) schemes. In particular, we first focus on two very well established classical methods: interpolation and weighted least squares, and extend the latter as an adaptive rWLS fitting scheme. Subsequently, we present a hierarchical QI scheme with THB-spline.
- Keywords:
- data fitting,
- interpolation,
- least-square,
- re-weighted least-square,
- quasi-interpolation,
- hierarchical quasi-interpolation,
Technical University of Eindhoven, Netherlands - ORCID: 0009-0003-9116-9978
Chapter Information
Chapter Title
Data fitting schemes with hierarchical splines
Authors
Sofia Imperatore
Language
English
DOI
10.36253/979-12-215-1002-7.05
Peer Reviewed
Publication Year
2026
Copyright Information
© 2026 Author(s)
Content License
Metadata License
Bibliographic Information
Book Title
Adaptive spline approximation: data-driven parameterization and CAD model (re-)construction
Authors
Sofia Imperatore
Peer Reviewed
Number of Pages
196
Publication Year
2026
Copyright Information
© 2026 Author(s)
Content License
Metadata License
Publisher Name
Firenze University Press
DOI
10.36253/979-12-215-1002-7
ISBN Print
979-12-215-1001-0
eISBN (pdf)
979-12-215-1002-7
eISBN (xml)
979-12-215-1003-4
Series Title
Premio Tesi di Dottorato Città di Firenze
Series ISSN
3103-3881
Series E-ISSN
3103-3989