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Otomo, Ikuru,Onosato, Masahiko,Tanaka, Fumiki Society for Computational Design and Engineering 2014 Journal of computational design and engineering Vol.1 No.2
In the field of design and manufacturing, there are many problems with managing dynamic states of three-dimensional (3D) objects. In order to solve these problems, the four-dimensional (4D) mesh model and its modeling system have been proposed. The 4D mesh model is defined as a 4D object model that is bounded by tetrahedral cells, and can represent spatio-temporal changes of a 3D object continuously. The 4D mesh model helps to solve dynamic problems of 3D models as geometric problems. However, the construction of the 4D mesh model is limited on the time-series 3D voxel data based method. This method is memory-hogging and requires much computing time. In this research, we propose a new method of constructing the 4D mesh model that derives from the 3D mesh model with continuous rigid body movement. This method is realized by making a swept shape of a 3D mesh model in the fourth dimension and its tetrahedralization. Here, the rigid body movement is a screwed movement, which is a combination of translational and rotational movement.
Ikuru OTOMO,Masahiko ONOSATO,Fumiki TANAKA (사)한국CDE학회 2013 한국CAD/CAM학회 국제학술발표 논문집 Vol.2010 No.8
In the field of design and manufacturing, there are many problems on managing dynamic states of three-dimensional (3D) objects. In order to solve these problems, the four-dimensional (4D) mesh model and its modeling system have been proposed. The 4D mesh model is defined as a 4D object model that is bounded by tetrahedral cells, and it can represent spatio-temporal changes of a 3D object continuously. By using the 4D mesh model, it helps to solve dynamic problems of 3D models as geometric problems. However, the construction of the 4D mesh model is limited on timeseries 3D voxel data based method. This method is memory-hogging and requires much computing time. In this research, we propose a new method of constructing the 4D mesh model that is from 3D mesh model with continuous rigid body movement. This method is realized by making a swept shape of a 3D mesh model in the fourth dimension and its tetrahedralization. Here, the rigid body movement is screwed movement, which is a combination of translational and rotational movement. At first, this report introduces the summary of a 4D mesh model and its modeling system. Then, the proposed method of constructing the 4D mesh model is explained in detail.