论文标题
带有规定方向的紧密小波过滤库
Tight Wavelet Filter Banks with Prescribed Directions
论文作者
论文摘要
用规定的方向构建紧密的小波过滤器库是具有挑战性的。本文提出了一种系统的系统方法，用于设计紧密的小波过滤器库，给定任何规定的方向。我们紧密的小波过滤器库中有两种类型的小波过滤器。一种类型完全取决于有关方向性的规定信息，并使小波滤波器库方向。另一种类型有助于小波过滤器库紧密。除了选择方向的灵活性外，我们的施工方法还具有其他有用的属性。它适用于任何多维分子，并且允许用户沿所选方向具有任何规定的消失矩。此外，我们紧密的小波过滤库具有用于分析和合成的快速算法。给出了具体的示例，以说明我们的施工方法和由此产生的紧密小波过滤库的特性。
Constructing tight wavelet filter banks with prescribed directions is challenging. This paper presents a systematic method for designing a tight wavelet filter bank, given any prescribed directions. There are two types of wavelet filters in our tight wavelet filter bank. One type is entirely determined by the prescribed information about the directionality and makes the wavelet filter bank directional. The other type helps the wavelet filter bank to be tight. In addition to the flexibility in choosing the directions, our construction method has other useful properties. It works for any multi-dimension, and it allows the user to have any prescribed number of vanishing moments along the chosen directions. Furthermore, our tight wavelet filter banks have fast algorithms for analysis and synthesis. Concrete examples are given to illustrate our construction method and properties of resulting tight wavelet filter banks.
