In this paper, we compare two different definitions of distance transform for gray level images: the Gray Weighted Distance Transform (GWDT), and the Weighted Distance Transform On Curved Space (WDTOCS). We show through theoretical and experimental comparisons the differences, the strengths and the weaknesses of these two distances. Continuous case D GW DT = 1 0 |π(t)|dt.

$R$ is a unital ring with involution. We investigate the characterizations and representations of weighted core inverse an element in by idempotents units. For example, let $a\in R$ $e\in be invertible Hermitian element, $n\geqslant 1$, then $a$ $e$-core if only there exists (or idempotent) $p$ such that $(ep)^{\ast}=ep$, $pa=0$ $a^{n}+p$ $a^{n}(1-p)+p$) invertible. As consequence, $e, f\in two...

Applying weighted network measures to distance matrices Many approaches to the analysis of weighted networks are not designed for fully connected weighted networks. However, as any distance matrix between objects is a fully connected weighted network, such networks are extremely common. In earlier work we derived an approach for the analysis of weighted networks which also works on fully connec...