کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605069 | 1337543 | 2014 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On construction of multivariate symmetric MRA-based wavelets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On construction of multivariate symmetric MRA-based wavelets On construction of multivariate symmetric MRA-based wavelets](/preview/png/4605069.png)
چکیده انگلیسی
Let n be an integer and c be an integer or a semi-integer. For an arbitrary matrix dilation, we describe all masks that are symmetric with respect to the point c and have sum rule of order n. For each such mask, we give explicit formulas for the wavelet masks that are point symmetric/antisymmetric and generate a frame-like wavelet system providing approximation order n . For any matrix dilation (that is appropriate for the axial symmetry group on ZdZd in some natural sense), axial symmetric/antisymmetric frame-like wavelet systems providing approximation order n are constructed. Also, for several matrix dilations, the explicit construction of highly symmetric frame-like wavelet systems providing approximation order n is presented.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 36, Issue 2, March 2014, Pages 215–238
Journal: Applied and Computational Harmonic Analysis - Volume 36, Issue 2, March 2014, Pages 215–238
نویسندگان
A.V. Krivoshein,