An algebraic approach to discrete dilations . Application to discrete wavelet transformsJ

  title={An algebraic approach to discrete dilations . Application to discrete wavelet transformsJ},
  author={.-P. and Antoine and Y. B. and KOUAGOU},
  • .-P., Antoine, +1 author KOUAGOU
  • Published 1998
We investigate the connections between continuous and discrete wavelet transforms on the basis of algebraic arguments. The discrete approach is formulated abstractly in terms of the action of a semidirect product A × Γ on `2(Γ), with Γ a lattice and A an abelian semigroup acting on Γ. We show that several such actions may be considered, and investigate those which may be written as deformations of the canonical one. The corresponding deformed dilations (the pseudodilations) turn out to be… CONTINUE READING

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