“…Details of the calculation can be found in Cheng (1999). Higher value of D 2 indicates a stronger compact distribution of high concentrations in spatial pattern, and by contrast, the lower value of D 2 reflects an isolated distribution of high concentrations (Durga Bhavani et al, 2008). From the dynamic viewpoint, the D 2 indicates the complexity of controls underpinning the spatial pattern (Yılmaz and Güler, 2010).…”
“…Details of the calculation can be found in Cheng (1999). Higher value of D 2 indicates a stronger compact distribution of high concentrations in spatial pattern, and by contrast, the lower value of D 2 reflects an isolated distribution of high concentrations (Durga Bhavani et al, 2008). From the dynamic viewpoint, the D 2 indicates the complexity of controls underpinning the spatial pattern (Yılmaz and Güler, 2010).…”
“…In [33], the number of anchors is estimated by approximating the intrinsic dimension of a dataset. In our implementation, we employ the algorithm in [40] to approximate the intrinsic dimension. Table II lists the search performance of employing hierarchical clustering and HF algorithm for constructing OSS and OS 2 .…”
Section: Comparison To Anchor-based Selection Algorithmmentioning
“…And the covering area (A(r)) would be more close to the actual area of the three-dimensional interface, according to Eq. (16).…”
Section: The Proposed Characterization Methodology For Interface Rougmentioning
confidence: 95%
“…Fractal analysis is a simple and powerful tool for quantifying the roughness and irregularities of fractures interfaces of LWAC. The roots of fractal dimension go back to Hausdorff's definition of dimension [15,16]. The fractal dimension correlates very well with interface roughness.…”
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