February 5, 2009

WITS: Bathlet wavelets

The WITS (and the Virtue) honors today bathlets, a breed of wavelets based on a balanced weighted uncertainty approach. Colorado 7-eleven (7-11 math problem here) stores fear a Klingon-weaponed robber threatening clerks with a spiky, crescent shaped Star Trek inspired sword called bat'leth or Klingon's personal sword of honor. Since this description is only a coarse approximation, more details are to be found at The Denver Channel.

In the wavelet world, bathlets originate from the University of Bath, wavelets have been designed based on an Heisenberg uncertainty based metric balancing both their time and frequency spread. The Bath Wavelet warehouse serves both orthogonal and biorthogonal wavelet coefficients

A handfull of Bat'leth
Further reading on bathlets:
"Orthonormal wavelets with balanced uncertainty", DM Monro, BE Bassil and GJ Dickson, IEEE International Conference on Image Processing, 1996, Vol.2, pp.581-584 (local copy).
"Space-frequency balance in biorthogonal wavelets", DM Monro and BG Sherlock, IEEE International Conference on Image Processing, 1997, Vol.1, pp.624-627 (local copy).

Bat'leths: Sizing Your Bat'leth (for Vulcans or Klingons only)