Title   name
KSIAM 2006 Annual Meeting
 
  Title
  Speaker   Lee, Yeon Ju  
  Date 2006-11-25
  Host
  Place 건국대학교
  File  의 1 번째 Real Media 동영상입니다. 의 1 번째 강연자료입니다.
 
Abstract : We present a new family of compactly supported and symmetric biorthogonal wavelet systems,which extend and unify the Biorthogonal Coifman wavelet system. The refinement mask has atension parameter !. When w = 0, it becomes the the Biorthogonal Coifman wavelet system.However, choosing ! away from zero, we can get better smoothness of the refinable functionsat the expense of slightly larger support. Though the construction of our birothogonal waveletsystem starts from a new class of quasi-interpolatory subdivision schemes, but we find thatthe refinement masks accidently coincides with the ones by Daubechies at. el. in [3, x6.C],which are designed for the purpose of generating biorthogonal wavelets close to orthonormalcases. However, the corresponding mathematical analysis is yet to be provided. Therefore, theaim of this study is to highlight the connection between the quasi-interpolatory subdivisionschemes and the masks by Daubechies at. el, and then to study the fundamental properties of thenew biorthogonal wavelet systems such as regularity, stability, linear independence, vanishingmoments and accuracy.