Automatic counting of illuminated spheres in a random Boolean model
Artyom M. Grigoryan, Edward R. Dougherty · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · 2002
This paper presents results of the automatic counting of illuminated spheres, where the random Boolean model depends on certain distributions of parameters. The problem is to estimate the number of randomly sized spheres in a region of 3D space by taking a set of parallel slices and using the slice intersections with the spheres to form the estimate. The simulation software is developed in the framework of the MATLAB-based Graphical User Interface, which generates spheres and allows visualization of spheres as well as their 2 D projections onto slices, which themselves appear as ordinary images. The dynamic interface provides manipulation of all parameters of the model, including the sampling rate (number of slices), sphere-size, location and intensity distributions, overlapping of spheres, and parameters of noise. That allows us to analyze the illuminated sphere counting along different ranges of various model parameters with respect to the sampling rate, specially for cases when random spheres may intersect and noise may exist.