A Local Construction for Nonuniform Spline Tight Wavelet Frames

نویسنده

  • Martin Reimers
چکیده

We present a construction for tight wavelet frames for nonuniform spline type spaces. Our basic requirement is that the twoscale matrices are row stochastic as this admits the local construction of a set of framelets for each scaling function. The framelets have one vanishing moment, small support, and can be designed to have symmetry properties. We apply our method to univariate splines and to linear splines over arbitrary, refined triangulations. §

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تاریخ انتشار 2007