A Short-support Dual Mask to the Piecewise Linears on a Uniform Triangulation
Abstract
Much work has been done in finding duals and wavelets for a single scaling function on a triangulation (see [2], [4], [6] among others). The CBC algorithm allows the construction of duals with arbitrary approximation order at the expense of a larger support. This is an independent approach to the construction of a dual mask to the piecewise linear "hat" function on a uniform triangulation with a focus on maintaining the same hexagonal support. The associated wavelet masks are also constructed with only slightly larger supports.
Disciplines
Applied Mathematics | Mathematics
Recommended Repository Citation
Kessler, Bruce. (2002). A Short-support Dual Mask to the Piecewise Linears on a Uniform Triangulation. Approximation Theory X: Wavelets, Splines, and Applications.
Available at:
https://digitalcommons.wku.edu/math_fac_pub/78