论文标题
自适应方向性HAAR紧密的框架在有限域上用于挖掘信号表示
Adaptive directional Haar tight framelets on bounded domains for digraph signal representations
论文作者
论文摘要
基于层次分区，我们在任何紧凑型套装$ k \ subseteq \ mathbb {r}^d $上提供HAAR型紧密的Framelets的构建。特别是，在单位块$ [0,1]^d $上，可以建立这种紧密的框架是具有适应性和方向性的。我们表明，自适应定向HAAR紧密的帧系统可用于挖掘信号表示。提供了一些示例来说明本文的结果。
Based on hierarchical partitions, we provide the construction of Haar-type tight framelets on any compact set $K\subseteq \mathbb{R}^d$. In particular, on the unit block $[0,1]^d$, such tight framelets can be built to be with adaptivity and directionality. We show that the adaptive directional Haar tight framelet systems can be used for digraph signal representations. Some examples are provided to illustrate results in this paper.
