Study on the estimation of joint length distribution using window sampling in statistical joint modeling

A window sampling method was adopted to estimate a trace length distribution for the Poisson disc joint model. Four equations for estimating the trace length distribution from contained and dissecting trace length distributions in a rectangular and circular window were derived. The equations were tested through Monte Carlo simulation and then compared with each other and equations used for scanline sampling for their efficiency in the estimation of the trace length distribution. The numerical solution for determining the diameter distribution from the trace length distribution was made. The numerical solution was then applied for solving various cases and their results were compared with those from theoretical solutions.