Box Spline Prewavelets of Small Support

@article{Buhmann2001BoxSP,
  title={Box Spline Prewavelets of Small Support},
  author={Martin D. Buhmann and Oleg Davydov and Tim N. T. Goodman},
  journal={Journal of Approximation Theory},
  year={2001},
  volume={112},
  pages={16-27}
}
The purpose of this paper is the construction of biand trivariate prewavelets from box-spline spaces, i.e., piecewise polynomials of fixed degree on a uniform mesh. They have especially small support and form Riesz bases of the wavelet spaces, so they are stable. In particular, the supports achieved are smaller than those of the prewavelets due to… CONTINUE READING