| 书目名称 | Multivariate Wavelet Frames |
| 编辑 | Maria Skopina,Aleksandr Krivoshein,Vladimir Protas |
| 视频video | |
| 概述 | Discusses algorithmic methods for wavelet construction.Presents detailed theoretical justifications of the methods discussed.Supplies an extensive collection of examples |
| 丛书名称 | Industrial and Applied Mathematics |
| 图书封面 |  |
| 描述 | .This book presents a systematic study of multivariate wavelet frames with matrix dilation, in particular, orthogonal and bi-orthogonal bases, which are a special case of frames. Further, it provides algorithmic methods for the construction of dual and tight wavelet frames with a desirable approximation order, namely compactly supported wavelet frames, which are commonly required by engineers. It particularly focuses on methods of constructing them. Wavelet bases and frames are actively used in numerous applications such as audio and graphic signal processing, compression and transmission of information. They are especially useful in image recovery from incomplete observed data due to the redundancy of frame systems. The construction of multivariate wavelet frames, especially bases, with desirable properties remains a challenging problem as although a general scheme of construction is well known, its practical implementation in the multidimensional setting is difficult..Anotherimportant feature of wavelet is symmetry. Different kinds of wavelet symmetry are required in various applications, since they preserve linear phase properties and also allow symmetric boundary conditions in |
| 出版日期 | Book 2016 |
| 关键词 | Frames; Wavelet Frames; Wavelet Bases; Matrix Dilation; Orthogonal and Bi-orthogonal Bases; Graphic Signa |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-10-3205-9 |
| isbn_softcover | 978-981-10-9817-8 |
| isbn_ebook | 978-981-10-3205-9Series ISSN 2364-6837 Series E-ISSN 2364-6845 |
| issn_series | 2364-6837 |
| copyright | Springer Nature Singapore Pte Ltd. 2016 |
发表于 2025-3-21 16:15:32
