J. E. Fowler and L. Hua, "Omnidirectionally Balanced Multiwavelets for Vector Wavelet Transforms," in Proceedings of the IEEE Data Compression Conference, J. A. Storer and M. Cohn, Eds., Snowbird, UT, April 2002, pp. 422-431.

• Abstract:
  Vector wavelet transforms for vector-valued fields can be implemented directly from multiwavelets; however, existing multiwavelets offer surprisingly poor performance for transforms in vector-valued signal-processing applications. In this paper, the reason for this performance failure is identified, and a remedy is proposed. A multiwavelet design criterion, omnidirectional balancing, is introduced to extend to vector transforms the balancing philosophy previously proposed for multiwavelet-based scalar-signal expansion. Additionally, a family of symmetric-antisymmetric multiwavelets is designed according to the omnidirectional-balancing criterion. In empirical results for a vector-field compression system, it is observed that the performance of vector wavelet transforms derived from these omnidirectionally-balanced symmetric-antisymmetric multiwavelets is far superior to that of transforms implemented via other multiwavelets.

• Text:

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Last update:

Yonghui Wang / wyh@erc.msstate.edu