Abstract:The electroperforation distribution in thin porous materials is investigated using the quadrat counts method (QCM), a classical statistical technique aimed to evaluate the deviation from complete spatial randomness (CSR). Perforations are created by means of electrical discharges generated by needle-like tungsten electrodes. The objective of perforating a thin porous material is to enhance its air permeability, a critical issue in many industrial applications involving paper, plastics, textiles, etc. Using ima… Show more
“…This sort of short range repulsion effect between holes can be quantified in terms of the so called inhibition potential. In a previous work [5], we also call the attention on this interpoint interaction and therein the hole distribution was assessed using the quadrat counts method in combination with the Morishita index. On that occasion, it was demonstrated that conclusions drawn from interpoint analysis can be largely affected by the choice of the quadrat size, which is an undesirable feature from the statistical viewpoint.…”
The spatial distribution of tiny holes in sheet materials generated by means of electrical discharges is investigated using spatial statistics techniques. It is shown that whereas the holes appear to be randomly distributed according to a Poisson point pattern, there is in fact a small region around each hole in which the generation of a new one is statistically inhibited as a consequence of the lower impedance path offered by the already made hole. The resulting pattern is known in spatial statistics as a point process with a soft core inhibition potential, which can be characterized using the pair correlation function.
“…This sort of short range repulsion effect between holes can be quantified in terms of the so called inhibition potential. In a previous work [5], we also call the attention on this interpoint interaction and therein the hole distribution was assessed using the quadrat counts method in combination with the Morishita index. On that occasion, it was demonstrated that conclusions drawn from interpoint analysis can be largely affected by the choice of the quadrat size, which is an undesirable feature from the statistical viewpoint.…”
The spatial distribution of tiny holes in sheet materials generated by means of electrical discharges is investigated using spatial statistics techniques. It is shown that whereas the holes appear to be randomly distributed according to a Poisson point pattern, there is in fact a small region around each hole in which the generation of a new one is statistically inhibited as a consequence of the lower impedance path offered by the already made hole. The resulting pattern is known in spatial statistics as a point process with a soft core inhibition potential, which can be characterized using the pair correlation function.
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