کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9500311 | 1337607 | 2005 | 30 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Building nonredundant adaptive wavelets by update lifting
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Building nonredundant adaptive wavelets by update lifting Building nonredundant adaptive wavelets by update lifting](/preview/png/9500311.png)
چکیده انگلیسی
In this paper, we propose a technique for building adaptive wavelets by means of an extension of the lifting scheme. Our scheme comprises an adaptive update lifting step and a fixed prediction lifting step. The adaptivity consists hereof that the system can choose between two different update filters, and that this choice is triggered by the local gradient of the original signal. If the gradient is large (in some seminorm sense) it chooses one filter, if it is small the other. We derive necessary and sufficient conditions for the invertibility of such an adaptive system for various scenarios. Furthermore, we present some examples to illustrate our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 18, Issue 3, May 2005, Pages 252-281
Journal: Applied and Computational Harmonic Analysis - Volume 18, Issue 3, May 2005, Pages 252-281
نویسندگان
Henk J.A.M. Heijmans, Béatrice Pesquet-Popescu, Gemma Piella,