Families of Orthogonal Two-dimensional Wavelets

  title={Families of Orthogonal Two-dimensional Wavelets},
  author={M SIAMJ.},
  • M SIAMJ.
  • Published 1996
We construct orthonormal wavelet bases of L2(IR) with compact support for dilation matrices of determinant 2. The key idea is to describe the set H2 of all two-dimensional (2D) scaling coefficients satisfying the orthogonality condition as an implicit function. This set includes the scaling coefficients for induced 1D wavelets. We compute the tangent space of H2 at HN , the scaling coefficients for induced 1D Daubechies wavelets. The structure of the tangent space allows us to build… CONTINUE READING

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