caa a22 4500 475799100 CHVBK 20180406123732.0 cr unu---uuuuu 170329e20000901xx s 000 0 eng 10.1007/s001700070019 doi (NATIONALLICENCE)springer-10.1007/s001700070019 Solving 3D Geometric Constraints for Assembly Modelling [Elektronische Daten] [J. Kim, K. Kim, K. Choi, J.Y. Lee] A geometric constraint solving method is presented that takes well-constrained mating conditions between a base and a mating component and directly transforms them into a 4 × 4 matrix that determines the relative orientation and location of the mating component with respect to the base component. In the proposed procedure, the 4 × 4 transformation matrix is determined by directly computing a rotation matrix TR and a translation matrix TL that define the relative orientation and location of the mating component, respectively. Thus, first, the rotation matrix is computed by solving a set of linear constraint equations associated with the orientation of two mating components. After repositioning the mating component by applying the rotation matrix TR, the translation matrix is calculated by solving a set of linear constraint equations associated with location. This new method is computationally very effective, since the transformation matrix for relative orientation and location of the mating component is algebraically derived directly from the linear equations associated with the mating conditions.: Springer-Verlag London Limited, 2000 Keywords:Assembly modelling nationallicence Constraints solving nationallicence Geometric constraints nationallicence Mating conditions nationallicence Kim J. School of Mechanical and Industrial Engineering, Pohang University of Science and Technology, Pohang, KR aut Kim K. School of Mechanical and Industrial Engineering, Pohang University of Science and Technology, Pohang, KR aut Choi K. Production Engineering Research Center, LG Electronics, Pyungtaek 451-860 South Korea, KR aut Lee J.Y. Computer Software Technology Lab, Electronics and Telecommunications Research Institute, Taejon 305-333 South Korea, KR aut https://doi.org/10.1007/s001700070019 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001700070019 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim J. School of Mechanical and Industrial Engineering, Pohang University of Science and Technology, Pohang, KR aut NATIONALLICENCE 700 1- Kim K. School of Mechanical and Industrial Engineering, Pohang University of Science and Technology, Pohang, KR aut NATIONALLICENCE 700 1- Choi K. Production Engineering Research Center, LG Electronics, Pyungtaek 451-860 South Korea, KR aut NATIONALLICENCE 700 1- Lee J.Y. Computer Software Technology Lab, Electronics and Telecommunications Research Institute, Taejon 305-333 South Korea, KR aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer