CONSTRUCTION OF PSEUDO-SPLINE TIGHT WAVELET FRAMES VIA MULTIRESULUTION ANALYSIS
The constructions of pseudo-spline tight frames were first introduced for the first time by I. Daubechies et al to construct tight framelets with desired approximation orders via the unitary extension principle (UEP). Pseudo-splines provide a rich family of refinable functions and the tight frame system derived from them normally gives better approximation order and other good properties than that derived from B-splines which are one of the special classes of pseudo-splines. This paper discusses the construction of tight wavelet frame with some essential properties, such as regularity and high approximation, and presents the construction of tight wavelet frames derived from the pseudo-splines via UEP and OEP (Oblique Extension Principle).
Tight wavelet frame MRA pseudo-spline UEP OEP
JIN-CANG HAN ZHENG-XING CHENG
Faculty of Science, Xian Jiaotong University, Xian, 710049, P.R.China;School of Information Engine Faculty of Science, Xian Jiaotong University, Xian, 710049, P.R.China
国际会议
2006 International Conference on Machine Learning and Cybernetics(IEEE第五届机器学习与控制论坛)
大连
英文
1734-1738
2006-08-13（万方平台首次上网日期，不代表论文的发表时间）