A description of hand matrices to extract various characteristics of human hand in three-dimensional space

This study focuses on a description of hand matrices to extract various characteristics of human hand in three-dimensional space. A mathematical expression for human hand has scarcely been proposed so far, and the practical, versatile description has been required to analyze a gesture behavior in detail. In this study, the bones and joints of human hand were explained supplementarily. After that, a CG model of human hand was created according to the anatomical structure. With reference to the model's structure, hand matrices were proposed to investigate poses, positions, and postural orientations of human hand in a uniform manner. The several examples were also discussed with appropriate illustrations. As a result, the characteristics of hand matrices were revealed in practically-possible cases; moreover, the mathematical treatments were theoretically versatile and simple to find a difference or common feature of hand motion in three-dimensional space.