Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 80, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cagd.2020.101865
Keywords
Hierarchical splines; Truncation; Quasi-interpolation; Spline fitting
Funding
- Austrian Science Fund (FWF) [W1214-N15]
- project DK3
- [NFN S117]
- Austrian Science Fund (FWF) [W1214] Funding Source: Austrian Science Fund (FWF)
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This paper is devoted to techniques for adaptive spline projection via quasi-interpolation, enabling the efficient approximation of given functions. We employ local least-squares fitting in restricted hierarchical spline spaces to establish novel projection operators for hierarchical splines of degree p. This leads to efficient spline projectors that require O(p(d)) floating point operations and O(1) evaluations of the given function per degree of freedom, while providing essentially the same accuracy as global approximation. Our spline projectors are based on a unifying framework for quasi-interpolation in hierarchical spline spaces. We present a detailed comparison with the scheme of Speleers and Manni (2016). (C) 2020 Elsevier B.V. All rights reserved.
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