Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 603-612.

• Articles • Previous Articles     Next Articles

Two Schemes for Lifting Frames

 LU Da-Yong, FAN Qi-Bin   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2008-10-09 Revised:2009-12-21 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家高技术研究发展计划(863计划)项目(2009AA12Z203)和国家自然科学基金(10671062)资助

Abstract:

This paper presents two methods for lifting frames that allow people to modify existing dyadic wavelet frames or filters to construct new ones. In particular, these methods enable people to design nonseparable frames from tensor products of a piecewise linear spline tight frame, which can play the roles of the weighted average operator, the Sobel operator and the Laplacian operator in directions that are integer multiples of π/4.

Key words: Frame lifting, Wavelet frames, FMRA, UEP, OEP

CLC Number: 

  • 42C15
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