Space-time integrated approach for design and planning based on four-dimensional geometry

点击翻译按钮获取中文摘要

The subject of this study is to represent the positions, orientations, and forms of dynamic objects and to utilize the representations in design and planning with respect to them. In a four-dimensional space representing a spatio-temporal space, four-dimensional geometric models are constructed with tetrahedrons which determine the boundary of 4D body. Based on this shape data schema, a four-dimensional geometric modeling system has been developed. The proposed method and the developed system were evaluated by applying to three problems: collision avoidance problem of moving objects, representing 5DOF cutting with ball-end milling, and water-level changes in the tsunami disaster.