Tue, 04 Feb 2014
14:00 -
14:30
L5
Composite Dilation Wavelets
Jeffrey D. Blanchard
(Grinnell College)
Abstract
Composite dilation wavelets are affine systems which extend the notion of wavelets by incorporating a second set of dilations. The addition of a second set of dilations allows the composite system to capture directional information in addition to time and frequency information. We classify admissible dilation groups at two extremes: frequency localization through minimally supported frequency composite dilation wavelets and time localization through crystallographic Haar-type composite dilation wavelets.