Evolving Design and Discrete Differential Geometry: towards Mathematics Aided Geometric Design

Reference No.	2024a033
Type/Category	Grant for General Research-Workshop（Ⅰ）
Title of Research Project	Evolving Design and Discrete Differential Geometry: towards Mathematics Aided Geometric Design
Principal Investigator	Makoto Ohsaki（Kyoto University, Graduate School of Engineering・Professor）
Research Period	March 10,2025. - March 13,2025.
Keyword(s) of Research Fields	Geometrical shape generation, Discrete differential geometry, Computational geometry, Engineering product design, Architectural design, Bi-directional circulative design platform
Abstract for Research Report	Improvement of quality of industrial design and safety along with the efficiency and cost reduction is an urgent issue for the revitalization of Japanese manufacturing and craftsmanship. However, in the current architectural and building industry in Japan, for example, the processes of design, structural engineering, fabrication, and construction do not coordinate well and use different models for the same structure. This is extremely inefficient, and we can see the similar situations in various fields of engineering. The purpose of this meeting is to exchange knowledge and information among researchers and practitioners on the theories and techniques underlying the development of platform that will bring innovation to wide range of design and manufacturing based on mathematics and information science. To realize the design of structures that have aesthetic and artistic qualities as well as safety and confidence, experts in mathematics and information science will collaborate, and experts and engineers in architecture, shipbuilding, and industrial design will participate to identify common issues in design and manufacturing. The mathematical formulations for new shape design methods will be given based on the discrete differential geometry and the variational principle, and the theory and techniques necessary to implement practicable software will be discussed. This research meeting is an important opportunity to revitalize Japanese manufacturing, which produces precise and beautiful products but suffers from high costs, by reintegrating the knowledge of the geometry of curves and surfaces through mathematics as a main focus and by promoting discrete differential geometry for shape design.
Organizing Committee Members (Workshop) Participants (Short-term Joint Usage)	Takashi Maekawa（Waseda University, Research Institute for Science and Engineering・Adjunct Researcher） Kenjiro Miura（Shizuoka University, College of Engineering・Professor） Kenji Kajiwara（Kyushu University, Institute of Mathematics for Industry・Director） Jun Mitani（University of Tsukuba, Institute of Systems and Information Engineering・Professor） Yohei Yokosuka（Kagoshima University, Graduate School of Science and Engineering・Associate Professor） Taku Nakajima（Obayashi Corporation, Osaka Main Office, Structural Engineering Department・Deputy Manager） Yusuke Sakai（Sony Computer Science Laboratories・Associate Researcher）