Nonstationary refinable functions based on generalized Bernstern polynomials

作者：Cheng, Ting; Yang, Xiaoyuan^*

来源：Journal of Computational Analysis and Applications, 2016, 21(5): 980-993.

• Nonstationary tight wavelet frames
• Nonstationary refinable functions
• Nonstationary cascade algorithms
• Generalized Bernstein Polynomials
• Spectral frame approximation order

In this paper, we introduce a new family of nonstationary refinable functions from Generalized Bernstein Polynomials, which include a class of nonstationary refinable functions generated from the family of masks for the pseudo splines of type II (see [17]). Furthermore, a proof of the convergence of nonstationary cascade algorithms associated with the new masks is completed. We then construct symmetric compacted supported nonstationary C-infinity tight wavelet frames in L-2(R) with the spectral frame approximation order.

• 出版日期2016-11
• 单位北京航空航天大学