Framelets with Three Generator by Unitary Extension Principle
نویسندگان
چکیده
منابع مشابه
On B-Spline Framelets Derived from the Unitary Extension Principle
Spline wavelet tight frames of [20] have been used widely in frame based image analysis and restorations (see, e.g. survey articles [15, 22]). However, except for the tight frame property and the approximation order of the truncated series (see [13,20]), there are few other properties of this family of spline wavelet tight frames to be known. This paper is to present a few new properties of thi...
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We analyze the internal structure of the multiresolution analyses of L2(Rd) defined by the unitary extension principle (UEP) of Ron and Shen. Suppose we have a wavelet tight frame defined by the UEP. Define V0 to be the closed linear span of the shifts of the scaling function and W0 that of the shifts of the wavelets. Finally, define V1 to be the dyadic dilation of V0. We characterize the condi...
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For any 2×2 dilation matrix with integer entries and | detA| = 2, we construct a family of smooth compactly supported tight wavelet frames with three generators in L2(R). Our construction involves some compactly supported refinable functions, the Oblique Extension Principle and a slight generalization of a theorem of Lai and Stöckler. Estimates for the degrees of smoothness are given. With the ...
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ژورنال
عنوان ژورنال: International Journal of Advanced Trends in Computer Science and Engineering
سال: 2020
ISSN: 2278-3091
DOI: 10.30534/ijatcse/2020/284942020