Academic Journal
Novel Wavelet-Based Statistical Methods with Applications in Approved by: Classification, Shrinkage, and Nano-Scale Image Analysis
| العنوان: | Novel Wavelet-Based Statistical Methods with Applications in Approved by: Classification, Shrinkage, and Nano-Scale Image Analysis |
|---|---|
| المؤلفون: | Dr. Brani Vidakovic Advisor, Dr. Anthony Hayter, Dr. Xiaoming Huo, Dr. Christopher Heil, Dr. Yang Wang |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://etd.gatech.edu/theses/available/etd-11162005-131744/unrestricted/lavrik_ilya_a_200605_phd.pdf. |
| سنة النشر: | 2005 |
| المجموعة: | CiteSeerX |
| الوصف: | To my parents, Dasha and Heidi. iii PREFACE The subject of wavelets appeared in the mid 1980s influenced by ideas from both pure mathematics (harmonic analysis, functional analysis, approximation theory, fractal sets etc.) and applied mathe-matics (signal processing, mathematical physics etc.). Almost instantaneously it became a success story with thousands of papers written by now and a wide range of applications. A simple definition of wavelets is Definition 1 A wavelet is a function ψ(t) ∈ L2(R) such that the family of functions ψj,k = 2 j/2 ψ(2 j t − k) where j and k are arbitrary integers, is an orthonormal basis in the Hilbert space L2(R). Wavelets are widely used in many areas. This is due to their powerful properties, such as orthogonality, localization in time and frequency, compact support, as well as availability of the fast computational algorithms. Many scientists and researchers find the use of wavelets advantageous to their purposes. Naturally, this statement can be justified only after working with wavelets on some |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.7820; http://etd.gatech.edu/theses/available/etd-11162005-131744/unrestricted/lavrik_ilya_a_200605_phd.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.94.7820 http://etd.gatech.edu/theses/available/etd-11162005-131744/unrestricted/lavrik_ilya_a_200605_phd.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.8174DFB6 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |