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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 tetrahe-dralization. Here, the rigid body movement is a screwed movement, which is a combination of translational and rotational movement.<\/jats:p>","DOI":"10.7315\/jcde.2014.010","type":"journal-article","created":{"date-parts":[[2015,1,23]],"date-time":"2015-01-23T14:58:37Z","timestamp":1422025117000},"page":"96-102","source":"Crossref","is-referenced-by-count":4,"title":["Direct construction of a four-dimensional mesh model from a three-dimensional object with continuous rigid body movement"],"prefix":"10.1093","volume":"1","author":[{"given":"Ikuru","family":"Otomo","sequence":"first","affiliation":[{"name":"Graduate School of Information Science and Technology, Hokkaido University, Kita 14, Nishi 9, Kita-ku, Sapporo, Hokkaido, Japan"}]},{"given":"Masahiko","family":"Onosato","sequence":"first","affiliation":[{"name":"Graduate School of Information Science and Technology, Hokkaido University, Kita 14, Nishi 9, Kita-ku, Sapporo, Hokkaido, Japan"}]},{"given":"Fumiki","family":"Tanaka","sequence":"first","affiliation":[{"name":"Graduate School of Information Science and Technology, Hokkaido University, Kita 14, Nishi 9, Kita-ku, Sapporo, Hokkaido, Japan"}]}],"member":"286","published-online":{"date-parts":[[2014,4,1]]},"reference":[{"issue":"7","key":"2020050321374093000_bb0005","doi-asserted-by":"crossref","first-page":"411","DOI":"10.1080\/00029890.1948.11999266","article-title":"On indecomposable polyhedra","volume":"55","author":"Bagemihl","year":"1948","journal-title":"The American Mathematical Monthly"},{"issue":"4","key":"2020050321374093000_bb0010","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/2945.817351","article-title":"The ball-pivoting algorithm for surface reconstruction","volume":"5","author":"Bernardini","year":"1999","journal-title":"IEEE Transactions on Visualization and Computer Graphics"},{"key":"2020050321374093000_bb0015","first-page":"267","volume-title":"Proceedings of the 11th annual IEEE Visualization conference","author":"Bhaniramka","year":"2000"},{"key":"2020050321374093000_bb0020"},{"key":"2020050321374093000_bb0025","volume-title":"ISO 6983-1: Numerical control of machines -Program format and definition of address words - Part 1: Data format for positioning, line motion and contouring control","author":"International organization for standardization","year":"1982"},{"key":"2020050321374093000_bb0030","volume-title":"Proceedings of Asian Conference on Design and Digital Engineering","author":"Kameyama","year":"2012"},{"key":"2020050321374093000_bb0035","first-page":"343","volume-title":"Proceedings of the 26th annual conference on Computer graphics and interactive techniques","author":"Lee","year":"1999"},{"issue":"4","key":"2020050321374093000_bb0040","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1145\/37402.37422","article-title":"Marching cubes: A high resolution 3D surface construction algorithm","volume":"21","author":"Lorensen","year":"1987","journal-title":"ACM SIGGRAPH Computer Graphics"},{"issue":"1","key":"2020050321374093000_bb0045","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/93.580392","article-title":"Virtual view generation for 3D digital video","volume":"4","author":"Moezzi","year":"1997","journal-title":"IEEE Multimedia"},{"key":"2020050321374093000_bb0050","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1109\/DAGSTUHL.1997.1423119","volume-title":"Scientific Visualization Conference","author":"M\u00fcller","year":"1997"},{"key":"2020050321374093000_bb0055","first-page":"579","volume-title":"Proceedings of Asian Conference on Design and Digital Engineering","author":"Onosato","year":"2010"},{"key":"2020050321374093000_bb0060","volume-title":"Proceedings of 10th Annual International CAD Conference and Exhibition","author":"Onosato","year":"2013"},{"key":"2020050321374093000_bb0065"},{"issue":"1","key":"2020050321374093000_bb0070","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/BF01451597","article-title":"\u00dcber die Zerlegung von Dreieckspolyedern in Tetraeder [About the subdivision of triangular polyhedron into tetrahedra]","volume":"98","author":"Sch\u00f6nhardt","year":"1928","journal-title":"Mathematische Annalen. 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