Adaptively refined multilevel spline spaces from generating systems

@article{Zore2014AdaptivelyRM,
  title={Adaptively refined multilevel spline spaces from generating systems},
  author={Urska Zore and Bert J{\"u}ttler},
  journal={Computer Aided Geometric Design},
  year={2014},
  volume={31},
  pages={545-566}
}
The truncated basis of adaptively refined multilevel spline spaces was introduced by Giannelli et al. (2012, 2014). It possesses a number of advantages, including the partition of unity property, decreased support of the basis functions, preservation of coefficients and strong stability, that may make it highly useful for geometric modeling and numerical simulation. We generalize this construction to hierarchies of spaces that are spanned by generating systems that potentially possess linear… CONTINUE READING

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