Osiris wavelets and Set wavelets Academic Article uri icon


  • An alternative to Osiris wavelet systems is introduced in two dimensions. The basic building blocks are continuous piecewise linear functions supported on equilateral triangles instead of on squares. We refer to wavelets generated in this way as Set wavelets. We introduce a Set wavelet system whose homogeneous mode density is2/5. The system is not orthonormal, but we derive a positive lower bound on the overlap matrix.

published proceedings

  • Journal of Applied Mathematics

author list (cited authors)

  • Battle, G.

citation count

  • 0

complete list of authors

  • Battle, Guy

publication date

  • December 2004