论文标题
在$ l^2（\ mathbb {r}^2）$中的紧凑型离散径向小波和层析成像中的应用
On compactly supported discrete radial wavelets in $L^2(\mathbb{R}^2)$ and application in Tomography
论文作者
论文摘要
发现具有多分辨率框架的径向对称波动在不同领域（如模式识别，计算机断层扫描（CT）等）都有用。已知已知的紧凑型小波可用于在此工作中进行重建，增强等应用中的本地化操作。 Daubechies小波并获得具有多分辨率框架的重建公式。此外，我们证明了径向小波在断层扫描中的有用性。
Radially symmetric wavelets possessing multiresolution framework are found to be useful in different fields like Pattern recognition, Computed Tomography (CT) etc. The compactly supported wavelets are known to be useful for localized operations in applications such as reconstruction, enhancement etc. In this work we introduce a novel way of designing compactly supported radial wavelets in $L^2(\mathbb{R}^2)$ from a 1D Daubechies wavelets and obtain a reconstruction formula possessing multiresolution framework. Further, we demonstrate the usefulness of our radial wavelets in Tomography.
