Simple Wavelet Sets for Scalar Dilations in ℝ2
Kathy D. Merrill · Birkhäuser Boston eBooks · 2008
Wavelet sets for dilation by any scalar d > 1 in L 2 (ℝ 2 ) are constructed that are finite unions of convex polygons. Such simple wavelet sets for dilation by 2 were widely conjectured to be impossible. The examples are built using the generalized scaling set technique of Baggett et al. [3]. Generalizations to other expansive dilations in L 2 (ℝ 2 ) are discussed. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.