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A Short-support Dual Mask to the Piecewise Linears on a Uniform Triangulation
Approximation Theory X: Wavelets, Splines, and Applications (2002)
  • Bruce Kessler, Western Kentucky University
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.

Publication Date
2002
Citation Information
Bruce Kessler, "A Short-support Dual Mask to the Piecewise Linears on a Uniform Triangulation", Approximation Theory X: Wavelets, Splines, and Applications, edited by C. K. Chui, L. L. Schumaker, and J. Stockler, Vanderbilt University Press, 323-332 (2002).