Two-Dimensional to Three-Dimensional Conversion Method for Multiple Characteristics of Particular Systems

Accurate assessments of three-dimensional (3D) characteristics such as particle shape and size distribution, are required in various fields. However, two-dimensional (2D) characteristics are often measured instead of 3D characteristics due to limitations on cost, speed, technology available for measurement, and so on. Here a conversion method that simultaneously estimates multiple 3D characteristics from the corresponding 2D characteristics is proposed. The method comprises the following steps: 3D particle models are numerically designed, a conversion database that correlates 3D and 2D parameter distributions is created, and the optimal combination of the 3D particle models to fit the measured 2D parameter distribution is determined using genetic algorithm. The proposed method was validated by a numerical experiment. This method is novel in two aspects: 1) it can be applied to various types of discrete elements such as particles, cells, crystals, and internal structures, and 2) it is convenient as it can estimate multiple parameters simultaneously. The method has potential to be a fundamental technology in various fields dealing with particles, regardless of whether the particles are organic, inorganic, natural, or artificial.