Interactive cognition of higher dimension with VR
| Reference No. | 20200016 |
|---|---|
| Type/Category | Grant for General Research-Short-term Joint Research |
| Title of Research Project | Interactive cognition of higher dimension with VR |
| Principal Investigator | Hiroyuki Inou（Graduate School of Science, Kyoto University・Associate professor） |
| Research Period |
February 8,2021. ～
February 12,2021. |
| Keyword(s) of Research Fields | visualization of fourth dimension, virtual reality, parallax |
| Abstract for Research Report |
The rapid development of virtual reality (VR) devices and technologies in the last few years has made it possible to observe and manipulate three-dimensional objects with an overwhelming sense of reality and immersion. However, in areas such as mathematics, physics, and data analysis, four-dimensional or higher-dimensional objects often appear. The aim of this research is to visualize a four-dimensional object in VR space in real time, and a user can move, observe it and manipulate it so that we can understand four( or more)-dimensional objects interactively and intuitively. For this purpose, we would like to prepare an environment with a tutorial to understand four-dimensional objects such as hypercubes, regular polygons, smooth embeddings of non-orientable surface and so on. Humans measure depth by parallax and perceive three dimensions. By using two major parallaxes, that is, binocular parallax and motion parallax, it is theoretically possible to represent two independent depths, or four dimensions. There is no doubt that the more intuitive the implementation is, the more we can recognize the fourth dimension. Such visualization methods will become increasingly important in the future, in order to observe and understand mathematical or abstract ideas and complex data. We expect to deepen people's understanding in education, and we also expect to lead to the discovery of new structures and phenomena in research. The final goal of the applicant is to understand fractal sets in complex dynamical systems, but first of all, we would like to provide an environment for those who have some mathematical background to understand four-dimensional objects intuitively, and to prove its effect through psychological experiments. |
| Organizing Committee Members (Workshop) Participants (Short-term Joint Usage) |
Hiroyuki Ochiai（Kyushu University・Professor） Tatsuyoshi Hamada（Nihon University・Associate professor） Kazushi Ahara（Meiji University・Professor） Zin Arai（Chubu University・Professor） Masahiko Terao（Yamaguchi University・Assistant professor） Ken Anjyo（OLM Digital・Executive R&D Advisor） Keigo Matsumoto （University of Tokyo・Ph.D student） Shizuo Kaji（Kyushu University・Associate professor） Yutaka Ishii（Kyushu University・Professor） Hiroyuki Inou（Kyoto University・Associate professor） Kazushi Ueda（University of Tokyo・Associate professor） Makoto Miura（Korea Institute for Advanced Study・Research Fellow） Atsushi Ito（Nagoya University・Assistant Professor） |