کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4605678 | 1337592 | 2007 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Continuous wavelet transform on the hyperboloid
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Continuous wavelet transform on the hyperboloid Continuous wavelet transform on the hyperboloid](/preview/png/4605678.png)
چکیده انگلیسی
In this paper we build a continuous wavelet transform (CWT) on the upper sheet of the 2-hyperboloid . First, we define a class of suitable dilations on the hyperboloid through conic projection. Then, incorporating hyperbolic motions belonging to SO0(1,2), we define a family of axisymmetric hyperbolic wavelets. The continuous wavelet transform Wf(a,x) is obtained by convolution of the scaled axisymmetric wavelets with the signal. The wavelet transform is proved to be invertible whenever wavelets satisfy a particular admissibility condition, which turns out to be a zero-mean condition. We then provide some basic examples and discuss the limit at null curvature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied and Computational Harmonic Analysis - Volume 23, Issue 3, November 2007, Pages 285-306
Journal: Applied and Computational Harmonic Analysis - Volume 23, Issue 3, November 2007, Pages 285-306