论文标题
在寻找低连贯性的紧密框架时
On the Search for Tight Frames of Low Coherence
论文作者
论文摘要
我们引入了一个投影riesz $ s $ kernel，用于单位球体$ \ mathbb {s}^{d-1} $，并调查$ n $ point的属性 - 最小化此类内核的配置。我们表明，对于$ S $和$ n $的这些配置足够大，形成了分隔良好（相干性较低）并且几乎紧密的框架。我们的结果提出了一种用于计算分离良好的紧密帧的算法，该算法用数值示例说明了。
We introduce a projective Riesz $s$-kernel for the unit sphere $\mathbb{S}^{d-1}$ and investigate properties of $N$-point energy minimizing configurations for such a kernel. We show that these configurations, for $s$ and $N$ sufficiently large, form frames that are well-separated (have low coherence) and are nearly tight. Our results suggest an algorithm for computing well-separated tight frames which is illustrated with numerical examples.
