Mathematical model for human’s handwork and its application to brush motion of Japanese calligraphy

Abstract

There is an increasing need to automate handwork by skilled workers in industry. However, that handwork is usually difficult to express clearly in words. Furthermore, human’s motion contains time and spatial perturbations, and this makes the automation even more difficult. In this report, spline functions are applied first to motion-capture data of brush strokes of Japanese calligraphy, and a mathematical model of human’s technique is established. In the mathematical model, the isomorphism mapping method is introduced to deal with the time perturbations, and Min-Max norm is applied to deal with the spatial perturbations.